{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "64268685",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import math\n",
    "from scipy.stats import expon\n",
    "from scipy.optimize import fsolve,minimize\n",
    "import matplotlib as mpl\n",
    "mpl.rcParams['figure.dpi'] = 900\n",
    "plt.rcParams[\"font.family\"] = \"Times New Roman\"\n",
    "plt.rcParams.update({\n",
    "    \"text.usetex\": False,\n",
    "    \"font.serif\": \"Times New Roman\",\n",
    "    \"font.family\": \"Times New Roman\",\n",
    "    \"font.sans-serif\": \"Times New Roman\",\n",
    "    \"font.cursive\": \"Times New Roman\",\n",
    "    \"font.fantasy\":\"Times New Roman\",\n",
    "    \"font.monospace\":\"Times New Roman\",\n",
    "    \"mathtext.fontset\": \"custom\"\n",
    "})"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3f01c74d",
   "metadata": {},
   "source": [
    "# Figure 2 Social Welfare Comparison Under CUS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d416cb82",
   "metadata": {},
   "outputs": [],
   "source": [
    "#define social welfare as a function of parameters\n",
    "\n",
    "def SWp(Lambda):\n",
    "    if Lambda<=2*mu-c/(v-t/2):\n",
    "        return Lambda*(v-t/2-c/(1-Lambda))\n",
    "    else:\n",
    "        return 0\n",
    "def SWs(Lambda):\n",
    "    if Lambda<=2*mu-2*c/(v-t/2):\n",
    "        return Lambda*(v-t/2-c/(mu-Lambda/2)+t/4)\n",
    "    else:\n",
    "        x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "        return Lambda*t*x_s**2\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    x_m = (2*t*mu + Lambda*t - math.sqrt((t - Lambda*t)**2 + 8*Lambda*c*t))/(4*Lambda*t)\n",
    "    Lambda_1 = 1-c /(v-t/2)\n",
    "    Lambda_2 = (1-c/(v-t/2))/(2-2*v/t)    \n",
    "    if Lambda < Lambda_1:\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)+t*x_m**2)\n",
    "    elif (Lambda_1 <= Lambda and t <= v) or (Lambda_1 <= Lambda < Lambda_2 and t > v):\n",
    "        return Lambda*t*x_m**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f4bba3da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192a87710>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 2403x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Figure 1(a): plot figure\n",
    "\n",
    "t=0.39\n",
    "v=0.5\n",
    "c=0.1\n",
    "mu=0.5\n",
    "\n",
    "x1 = np.arange(0.001, 1, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "y_diff=[]\n",
    "for i in x1:\n",
    "    y.append(SWm(i))\n",
    "    y_s.append(SWs(i))\n",
    "    y_p.append(SWp(i))\n",
    "    y_diff.append(SWm(i)-SWp(i))\n",
    "plt.figure(figsize=(2.67, 2.5))    \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38',linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False, fontsize= 6.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3babdd9e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192b13950>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2403x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Figure 1(b): plot figure\n",
    "\n",
    "t=0.49\n",
    "v=0.5\n",
    "c=0.1\n",
    "mu=0.5\n",
    "\n",
    "x1 = np.arange(0.001, 1, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "y_diff=[]\n",
    "for i in x1:\n",
    "    y.append(SWm(i))\n",
    "    y_s.append(SWs(i))\n",
    "    y_p.append(SWp(i))\n",
    "    y_diff.append(SWm(i)-SWp(i))\n",
    "plt.figure(figsize=(2.67, 2.5))    \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38',linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False, fontsize= 6.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9932d9f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2403x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Figure 1(c): plot figure\n",
    "\n",
    "t=0.55\n",
    "v=0.5\n",
    "c=0.1\n",
    "\n",
    "x1 = np.arange(0.001, 1 , 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "y_diff=[]\n",
    "for i in x1:\n",
    "    y.append(SWm(i))\n",
    "    y_s.append(SWs(i))\n",
    "    y_p.append(SWp(i))\n",
    "    y_diff.append(SWm(i)-SWp(i))\n",
    "plt.figure(figsize=(2.67, 2.5))    \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = (0.6, 0.1), frameon=False, fontsize = 6.5)\n",
    "plt.savefig('SWCUS3.eps',format='eps',bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f696af01",
   "metadata": {},
   "source": [
    "# Figure 3 Social Welfare Comparison Under CUE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4fd48c8a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure 3(a): define social welfare as a function of parameters\n",
    "\n",
    "mu=0.5\n",
    "\n",
    "t=0.5\n",
    "v=0.7\n",
    "c=0.1\n",
    "\n",
    "\n",
    "\n",
    "def SWp(Lambda):\n",
    "    if Lambda<=math.sqrt(4*mu*(mu-c/(v-t/2))):\n",
    "        return Lambda*(v-t/2-c/(mu-Lambda**2/2))\n",
    "    else:\n",
    "        return 0\n",
    "def SWs(Lambda):\n",
    "    if Lambda<=2*mu-2*c/(v-t/2):\n",
    "        return Lambda*(v-t/2-c/(mu-Lambda/2)+t/4)\n",
    "    else:\n",
    "        x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "        return Lambda*t*x_s**2\n",
    "    \n",
    "def hh(m):\n",
    "    x,Lambda=m\n",
    "    a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    return [a,b]\n",
    "theta=fsolve(hh, (0.1,0.4))\n",
    "numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "Lambda_2=numerator / denominator\n",
    "\n",
    "\n",
    "\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bcb93573",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19298df70>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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OAICybNQBAAAA4K11dCb3P5dc9VAyb1nR07y1xvpk0vbJ0bskIwcXPQ3A2uvoTO6amvzvA8myAsvJA/smZxyUTNiiuBkAAAAAqB3O5RZDgQ4AgLJs1AEAAADgzTo7k8dfTn7zQPLiwqKneWvNfZJDxyVH7uzmJKBnW7kquerh5LanSr//FuWI8cmJeyd9GoqbAQAAAICez7ncYijQAQBQlo06AAAAALzu+XnJrx9Inp5V9CRvbUBzqeRx2E7JwOaipwHoOi8tTP7n7mTqnOJmGDM8+eihyeihxc0AAAAAQM/mXG4xFOgAACjLRh0AAAAAkqUtyZUPJlOeTbrjO2HD+idH7ZIctEPSt0/R0wBURmdncu/05Ff3J0taipmhuTE5eWJywHbJWn6EAgAAAAD/x7ncYijQAQBQlo06AAAAAL1Ze0dy+9PJVQ8lK1uLnuavjRycHDshmbht0qeh6GkAqqOlNfndH5Nbnkg6Cvp4Yt+tkw8dkPRrKiYfAAAAgJ7JudxiKNABAFCWjToAAAAAvdWzs5PL70leWlj0JH9t9JDkhN2TvbdK6uuLngagGC8vKv0+/fSsYvJHDEo+ekiyzchi8gEAAADoeZzLLYYCHQAAZdmoAwAAANDbLF6Z/Pr+5J7pRU/y14b1T96xR3LAdkmD4hxAOjpLN9H9+oHSraHV1lCXvGvP5OgJSf3afaQCAAAAQC/mXG4xFOgAACjLRh0AAACA3qKto1TCuPqPyauri57mzQY0Jcfumrxtp6SpsehpALqfGfOTH05O5iwtJn+nTZMzDk6G9i8mHwAAAICewbncYijQAQBQlo06AAAAAL3Bk68kl9+TzFpc9CRv1qchOXx8cuyEZEBz0dMAdG+vri79Xn7X1GLyB/ZNzjgombBFMfkAAAAAdH/O5RZDgQ4AgLJs1AEAAACoZQuWJ1fcnzz4fNGTvFl9XTJp++QduyfDBhQ9DUDPcu/05Kd3FXeb6LETknfvVfq9HAAAAADeyLncYijQAQBQlo06AAAAALVodXvy+z8l1z6atLYVPc2b7Tk2efeeyeihRU8C0HPNXZpcPDl5fn4x+Xttlfz9QUmfxmLyAQAAAOienMsthgIdAABl2agDAAAAUGseeyn5+b2lckV3Mm508nd7JduMLHoSgNrQ1p5c9XByw2PF5G87MvnUEcmgvsXkAwAAAND9OJdbDAU6AADKslEHAAAAoFbMXZr88r7kkReLnuTNthienLh3svNmyVq+HQfAOnji5eTHdyRLW6qfPWpw8v8dVfoKAAAAAM7lFkOBDgCAsmzUAQAAAOjpVrUl1z+a3PCn0m1E3cWIQcm790z22TqpV5wDqKilLcklf0gen1n97IHNyaePSLYdVf1sAAAAALoX53KLoUAHAEBZNuoAAAAA9FSdncnDM5Jf3pssWFH0NK8b1Dc5frfkkHFJY0PR0wD0Hh2dyS1PJL9+IGnvqG52Y0Py9wcne29V3VwAAAAAuhfncouhQAcAQFk26gAAAAD0RLMWJz+/J3nilaIneV1zn+TonZMjd076NRU9DUDvNWN+8sPJyZyl1c9+z97J0bska/nxCwAAAAA1xrncYijQAQBQlo06AAAAAD1JS2tyzSPJzY8n7d3kLauG+uTQccnbd0sG9yt6GgCS5NXVyeX3JHdNrX72oeOSD0ws/fkAAAAAQO/iXG4xFOgAACjLRh0AAACAnqCzM7nvueSK+5MlK4uepqQuyb7bJO/cIxk5uOhpAHgr90xLfnZ3qVBXTRM2Tz52WNK3T3VzAQAAACiWc7nFUKADAKAsG3UAAAAAurs5S5Of3Jk8PavoSV63y+bJ3+2VjNmo6EkA+FvmLk0unpw8P7+6uWM2Sj5zRDJsQHVzAQAAACiOc7nFUKADAKAsG3UAAAAAuquOjuSmJ5LfPpS0thc9TcnoIckHJibjNyt6EgDWRVt7ctVDyQ1/qm7u8AHJ/3dksvnw6uYCAAAAUAzncouhQAcAQFk26gAAAAB0RzMXJpdOqf5tQWvS3Cd5x+7J4TsljQ1FTwPA+np8ZnLJH5KlLdXL7Ncn+cTblK8BAAAAegPncouhQAcAQFk26gAAAAB0J6vbk+seLf1o7yh6mpL9tknes3cybEDRkwDQFZa2lEp0j8+sXmZDXfKhScmB21cvEwAAAIDqcy63GAp0AACUZaMOAAAAQHcxfW5y2ZTk5cVFT1Ky+fDk5P2SHUYXPQkAXa2jM7n58eR/H6xuYfv43ZJ37pGs5cczAAAAAPQwzuUWQ4EOAICybNQBAAAAKNqq1clVDyU3P5F0h3eh+jUl794zOWRc0lBf9DQAVNIL85MfTk7mLq1e5sRtkg8fmDQ2VC8TAAAAgOpwLrcYCnQAAJRlow4AAABAkZ56JbnszmTesqInKTlw++Tv9koG9yt6EgCqZWVrctGtyROvVC9z3Ojkk29LBjRXLxMAAACAynMutxgKdAAAlGWjDgAAAEARVq5KfnV/8odni56kZOyI5OSJyTYji54EgCK0dSQ/vSu5s4p/Lo0emnz2yGTEoOplAgAAAFBZzuUWQ4EOAICybNQBAAAAqLY/zkh+dneyeGXRkyQDm0s3zh24Q1K/dm+VAVCjOjuTax9NrnqoepmD+yafOTLZauPqZQIAAABQOc7lFkOBDgCAsmzUAQAAAKiWpS3Jz+9J7n++6EmSurrkkHHJu/YslegA4M/umZb895SkvaM6eU0NyUcPTXbfsjp5AAAAAFSOc7nFUKADAKAsG3UAAAAAKq2zM7l3evLze5MVq4qeJtl2ZHLyxGTLEUVPAkB39cys5Pu3JCtbq5NXl+T9+yWHj69OHgAAAACV4VxuMRToAAAoy0YdAAAAgEpauDz56V3JYzOLniQZ3C85ae9k4ralG+gAoJxXFiff+X0yf3n1Mo8Yn7x3n6S+vnqZAAAAAHQd53KLoUAHAEBZNuoAAAAAVEJHZ3LH08mvH0heXV3sLPV1pRt93rF70q+p2FkA6FmWtCTfuzl5fl71MnffMjnzkKS5sXqZAAAAAHQN53KLoUAHAEBZNuoAAAAAdLXZS5LL7kyenV30JMmOo5MPTEw2G1b0JAD0VKvakh9NTv74YvUyt9o4+cwRpdtTAQAAAOg5nMsthgIdAABl2agDAAAA0FXaO5KbHk9++3Cyur3YWYYNSN63b7LX2GQt3wIDgDXq6Eh+eX9yyxPVyxw5OPnCsaU/0wAAAADoGZzLLYYCHQAAZdmoAwAAANAVXlyQXDolmbGg2Dka65OjdknevmvS3KfYWQCoPTc/nvzyvqRan5psMqRUohvSv0qBAAAAAGwQ53KLoUAHAEBZNuoAAAAAbIjV7ck1jyQ3PJq0F/wW0najktMmJaOHFjsHALXt4ReSH92etFbpttVNhyafPzYZ3K86eQAAAACsP+dyi6FABwBAWTbqAAAAAKyvlxaWCgQvLyp2juY+yXv2Sg7ZMalfu7e7AGCDPDcv+d5NydJXq5O3+bDkrGOTQX2rkwcAAADA+nEutxgKdAAAlGWjDgAAAMC66uhMbn48+c2DSVtHsbPsvHnyof2TEYOKnQOA3mfesuQ7v09mLalO3pjhyT8dmwxsrk4eAAAAAOvOudxiKNABAFCWjToAAAAA62Lh8uS//pA8NavYOQY0J+/fN5m4bbKWb3EBQJdbsSr5wS3JM7Ork7fliOSso5P+SnQAAAAA3ZJzucVQoAMAoCwbdQAAAADW1v3PJT+9K1nZWuwce2+VfGBiMqRfsXMAQJKsbk8unZLcO706eVtvnPzj0Um/purkAQAAALD2nMsthgIdAABl2agDAAAA8LesbE0uvzu5p0rFgDUZ0i85Zf9kj7HFzgEAf6mzM7nq4eTaR6qTt+3I5LNHKdEBAAAAdDfO5RZDgQ4AgLJs1AEAAAAo55lZySV3JAtWFDvHgdsnJ+2TDGgudg4AKGfKs8lP70zaq/CxyvabJJ89MmnuU/ksAAAAANaOc7nFUKADAKAsG3UAAAAA3kpbe+kmnRsfS4p8Z2jEoOTUA5LxmxU4BACsgydeTi68NWlZXfmsHUcnnz4yaW6sfBYAAAAAf5tzucVQoAMAoCwbdQAAAAD+0suLkh/fnry4sLgZ6pIcPj55955u1gGg55m5MPn2TcmiKtzgOn7T5NNHJH2U6AAAAAAK51xuMRToAAAoy0YdAAAAgD/r7ExufTL59QPJ6vbi5th0aPLhA5NtRhY3AwBsqEUrku/eVJ1C+i6bJ/9weNKnofJZAAAAAKyZc7nFUKADAKAsG3UAAAAAktIh/0unJI+/XNwMDXXJsbsmb99NAQCA2tDSmlw8OXlsZuWzdhuTfOKwpNGfoQAAAACFcS63GAp0AACUZaMOAAAAwEMvJD+5M1m+qrgZxo4o3Tq3xfDiZgCASmjvSC6/J7n96cpn7bFl8rHDksb6ymcBAAAA8Necyy2GAh0AAGXZqAMAAAD0Xi2tyS/uTe6cWtwMfRqSd+2ZHDE+aXDYH4Aa1dlZKtHd9lTls/baKvnoIf5cBQAAACiCc7nFaCx6AAAAAAAAAKD7mTYn+fEdybxlxc2wwybJaQcmowYXNwMAVENdXfKBiaXb6O54prJZDz5fuoHujIOSeiU6AAAAAHoBBToAAAAAAADg/7R1JFf/Mbnu0dJtOEXo2yc5aZ/koB2S+rX7RqwA0OPV1yWnHJC0dyZ3PlvZrHunl/JOP1CJDgAAAIDap0AHAAAAAAAAJElmL0l+fHvy/PziZpiwRfKhA5LhA4qbAQCKUl+XnHZA6Sa6e6ZVNuvuaaXy3GmTFNYBAAAAqG0KdAAAAAAAANDLdXYmdzyT/PK+pLWtmBn6NyUnT0z22yapc4gfgF6svj75yIFJR0dy33OVzbrz2aSxPjllf3/+AgAAAFC7FOgAAAAAAACgF1vSklw2JXn0peJm2HHT5CMHuXUOAP6svj454+CkvTN58PnKZt3+dOkGupMnKtEBAAAAUJsU6AAAAAAAAKC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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Figure 3(a):plot figure\n",
    "\n",
    "x1 = np.arange(0.001, 1, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "y_diff=[]\n",
    "for i in x1:\n",
    "    y.append(SWm(i))\n",
    "    y_s.append(SWs(i))\n",
    "    y_p.append(SWp(i))\n",
    "    y_diff.append(SWm(i)-SWp(i))\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc=(0.25,0),frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "ff7c0c5d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Figure 3(b): define social welfare as a function of parameters\n",
    "\n",
    "t=0.6\n",
    "v=0.7\n",
    "c=0.1\n",
    "\n",
    "mu=0.5\n",
    "\n",
    "def SWp(Lambda):\n",
    "    if Lambda<=math.sqrt(4*mu*(mu-c/(v-t/2))):\n",
    "        return Lambda*(v-t/2-c/(mu-Lambda**2/2))\n",
    "    else:\n",
    "        return 0\n",
    "def SWs(Lambda):\n",
    "    if Lambda<=2*mu-2*c/(v-t/2):\n",
    "        return Lambda*(v-t/2-c/(mu-Lambda/2)+t/4)\n",
    "    else:\n",
    "        x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "        return Lambda*t*x_s**2\n",
    "    \n",
    "def hh(m):\n",
    "    x,Lambda=m\n",
    "    a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    return [a,b]\n",
    "theta=fsolve(hh, (0.1,0.4))\n",
    "numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "Lambda_2=numerator / denominator\n",
    "\n",
    "\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "ad8bc347",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192bcf8f0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gmST/xvVG6wEAAAAAgMKNT5WQxtSpU9W+fXudOHEiJTgmpQ2Tpb69detWvfDCC3rhhRdUtmxZnX322Tr77LPVoUMH1a1bVzVr1lSpUqVy1cuxY8e0Y8cO7dixQ9u3b9fGjRu1atUqbdu2TX6/P2Vc6g+HMwrABSL143I4HJo2bZrKli2bq74BAACAoijRKz33x/tKKhab7dgT7t36ruLjqpjYXB2O3a0qiW0zHXtDe8nFKVAgyXI65epxs3yly8j3zaLcF4qOlnvAEFll+JsPAAAg1CIiIjLcfvfdd+uXX35RfHx8QHViYmK0cOFCXX311SbbyxdvvfWWkpKS0m1/8MEHNWLEiIDrpP58BMHhDsPVjPfs2aNp06aFug3kQDj+HMEcXpMAAuWoVFlWxcqyD+43Us+/ab10+VVGagEAAAAAgMKPIBnSqFevnt577z316NEjww8dk1cryyiwdeTIES1evFiLFy9Os0/JkiVVs2ZNlS5dWtHR0YqKilJ0dLQiIyPl8XiUlJSkpKQkxcfH68iRIzp06JAOHTqU4QenGYXDzuwzt2cdTX5sw4cP15VXXpmrGgAAAEBRNWP9Xq2N/jRH+xyMjNGiykNVI76T2h8bonKeBmnur11e6lDXZJco6CzLkuuyrrJKl5H3s5lSqpOMBMTllrvfQDmqVA1OgwAAADCiYsWK6tevnyZOnBjwPiNGjChwQbLY2FhNmjQp3fby5curf//+OQqSIfjCMQD0yiuvZPh5GsJXOP4cwRxekwBywtG8pXxLzQTJ7L3/yD58SFb5CkbqAQAAAACAwo0gGdLp3r27nn/+eT311FNpViVLduYKYNmtAnbixAnFxMQEdDbM7EJgmdXIbXjszJqXXXaZnnvuuVzXAgAAAIqi2ETp1b8nyx/tydX+f0ev0N9RP6nBqa5qe/wulfBVkSTdeJbk4KT6yIDz7HOlUqXknT5F8gR4gJZlyXVrPznq1g9ucwAAADDiwQcf1Ntvvy1/gCcP+P7777Vy5Uqdc845Qe7MnHfeeUfHjh1Lt/3uu+9WsWLF8r8hZMnhCK/lsrdt25ZhEBHhLdx+jmAOr0kAOeVo0Vq+pd8Yq+eLWS/XBZcYqwcAAAAAAAov3qlGhp544gkNGTIkZZWuzNi2nXKR/guWnXk5c2xml6xqnBlYO3O/3Ejd23nnnafPPvss17UAAACAomri6j+0NWpR3opYtv4osVBzqt2kX8qMVq1qx9W8upn+UDg5mzSXe9AwqXiJgMa7ru8pZ/NWQe4KAAAApjRs2FDXXXddjvYpSCt4eb1evfXWW+m2R0VF6Z577glBR8hOOAWAbNvWnXfeKY8ndyd0QeiE088RzOE1CSA3rOo1pVKljdXzx6w3VgsAAAAAABRuvFONTI0bN05Dhw5NCZNlt6JYbsNhgYbFTATHUksdIuvYsaMWLlyo6OhoI7UBAACAouJIrDT60ATJMvN7us9KUkypj7SzyrtG6qFwc9SsrYi7H5BVvmKW45yXXiFnx/PyqSsAAACY8sgjj+Ro/Oeff65t27YFqRuzPvnkE+3atSvd9v79+6tixax/v0VoZPc5WX4aN26cvv/++1C3gVwIp58jmMNrEkBuWA6HHM1bGqtn7/pTduxJY/UAAAAAAEDhRZAMWRo7dqyGDx+eJhCWU4GsRBassFhmUofIzj//fC1atEglSgR2FnsAAAAA/xmxarX+ilphtGaEovRys75Ga6LwsspXlHvo/bJq1s7wfkeHjnJedlU+dwUAAAATzj33XHXq1Cng8X6/X6+//noQOzJn5MiR6bY5HA49+OCDIegGgQiXAND69ev16KOPhroN5FK4/BzBHF6TAPLC2ayVuWK2Lf+mDebqAQAAAACAQosgGbL1wgsv6IMPPlBkZKQkBbQ6WThLHSIbOHCgvv32W5UuXTrEXQEAAAAFzz9HbU05OcF43aHVblbVyArG66LwskqUlHvgPXI0aZ5mu6NxM7luuKlA/w0LAABQ1OV0VbJp06Zp//79QerGjO+++06rVq1Kt/36669Xw4YNQ9ARCoqTJ0+qZ8+eio+PD3UrAMRrEkDeWfUbSlHRxur5YwiSAQAAAACA7BEkQ0B69+6tn376SY0bN87T6mShlByAs21bTqdTY8eO1cSJE+VyuULdGgAAAFAgPbd6uQ5EbjRas4RK69lGvY3WRNFgRUTK1fdOOc4+vWKFVb2mXL1vl+V0hrgzAAAA5EW3bt3UqFGjgMcnJCRo9OjRQewo71577bUMtz/88MP53AkKEq/Xq169eun3338PdSsAxGsSgBmW0ylH0+bZDwyQf9sW2YkJxuoBAAAAAIDCiSAZAta6dWutXr1a99xzT0qIrKCsTpZ6FbKmTZvqp59+0tChQ0PcFQAAAFBw7Tjo08yEicbrDq/bX6XdJYzXRdFgOZ1y3XCTnNfeIPftg2T9u7I2AAAACi6Hw6EHH3wwR/tMmDBBsbGxQeoobzZt2qQvv/wy3fbOnTvr3HPPDUFHKCiGDBmS4c8OgNDgNQnAFEfzVuaK+Xzyb91srh4AAAAAACiUCJIhR6KiojR69Gj99NNPat26dZrVycIxUJZ6FTLLsvTAAw9o9erVat++fahbAwAAAAq0J1cv1rGIHUZrVnRU0YP1bjBaE0WPZVlynXeRrJKlQt0KAAAADOnXr58qVaoU8PijR49q8uTJQewo915//fWUz1ZSe+SRR0LQDQqKYcOGhe3PNFAU8ZoEYJKjUVPJ5TJWzx+z3lgtAAAAAABQOBEkQ66cddZZWrVqlaZOnapatWqFXaAsdYDMtm1deOGFWrVqlUaOHKlIzkgPAAAA5Mn6PUma73/HeN2XGw1SpCPCeF0AAAAABVtUVJTuvvvuHO0zatQoeb3eIHWUO3v37tWHH36Ybnvjxo3VrVu3EHSEcOfz+TRkyBCNHTs21K3kim3b8nq98nq9GQYoEb547jLGaxJAMFiRkXI0bGKsnn9zjOww+z0YAAAAAACEF4JkyDXLstS3b1/9/vvvGj9+vOrVq5cS3EoOcuVnqCz1nMl9tGjRQrNnz9Z3332n1q1b51svAAAAQGFl29LwtXMV69pntG49V0PdXuNyozUBAAAAFB533323ihUrFvD43bt36+OPPw5iRzk3evRoJSUlpdv+0EMPhcVJ+hBeTp06peuvv14TJ04MdSs5FhMTo2HDhqlMmTJyu91yu91atmxZqNtCAMLhuUtISNAXX3yhRx99VJdddpkaNGig0qVLy+12q3jx4qpZs6YuvvhiDRs2TLNmzdL+/fuzrTl69GhZlqU2bdrkui9ek7m3atUq9evXT1FRUXk6hiAxMVHz5s3T/fffr7POOkvVq1dXZGSkSpcurTp16ujKK6/U008/rdWrVxt+BMFx7NgxffHFF3rqqafUvXt3tWvXTpUrV1aJEiXkcrlUqlQp1a5dW23atFGXLl308MMPa+bMmdqxY0eoW0cQOJq3NFcsMUH29m3m6gEAAAAAgELH3NroKLLcbrcGDx6sgQMHavbs2ZowYYKWLl0qKeMVykye3Syz2p06ddJjjz2ma665xthcAAAAAKQfd57St84pxuu+1WyIHBbnOgEAAACQsfLly6t///4aP358wPu89tpruu2224LYVeBOnTqlSZMmpdteuXJl9enTJwQdIZytX79eN998szZv3pzjfY8cOaK1a9fmaJ9y5cqpVq1aOZ4rNY/Hk/I54ffff5+nWshf4fLcbd26VW+88YZmzJih2NjYDMd4vV7FxcXp77//1tKlSzV27FhZlqWzzz5b3bt3V48ePdSgQYM0+5w4cUKvvPJKnnrjNZlzXq9Xc+bM0ejRo/Xjjz/mqda+ffs0ZswYvfPOOzp48GC6+5OSknTixAnt2rVLixcv1vPPP6+2bdvqpZde0pVXXpmnuU1LSEjQxx9/rBkzZui7777LcvXUkydP6uTJk9q9e7ck6dtvv025r379+urbt6/69eun2rVrB71vBJ+jaQvJsk6fyc0A36b1cjRuaqQWAAAAAAAofAiSwRiHw6GePXuqZ8+e2rZtm6ZOnapZs2Zp+/btKWOyOsNYZgGzrM5IlnqfSpUqqXfv3urfv79atjR4tiYAAAAAkiS/X3oyZqYSIo8ards2sr2urtTRaE0AAAAAhc+DDz6oiRMnyu/3BzR+/fr1+vLLL8PiIPLJkyfr6NH0f0sNGzZMUVFRIejotDZt2mjdunVGal144YUpJxrMiX379qlq1apGepDMntAwvyUlJen111/X888/r4SEhFzVmD9/vubPn5+jffr166epU6fmar5du3bp7bff1rvvvhvQylAIH+Hy3J08eVLDhw/XxIkTswzVZMa2ba1cuVIrV67UY489pubNm+uKK65Q+/bt5fF4NG7cOO3duzdXvfGazLlDhw7pnXfe0fjx4/X333/nqVZSUpLeeustPf/88zp58mSO9l2zZo26du2qXr16acqUKTla1TQYEhISNGrUKI0aNSrDMFxqbrdbXq83y//Ptm/frmeeeUbPPvusrrjiCo0YMYJjJAo4q0RJWXXqyf5ze/aDA+CP2SD7up6yHJy8DQAAAAAApEeQDEHRsGFDvfjii3rxxRe1Zs0aLVq0SIsXL9bKlSuVlJSUZmxyUCyrwJiU8Qd/LVu2VNeuXdW1a1edd955cjqd5h4EAAAAgDQWbzumFe4Pjdcd33JItn8PAAAAAED9+vV1ww036NNPPw14nxEjRoQ8SObz+fTmm2+m2168eHENGTIk/xtC2PF4PJo+fbpefvllbdu2LdTtZMvv92vx4sWaMGGCFixYEHC4E6EXbs/dunXr1KNHjzQnJs2rmJgYxcTE5KkGr8mcW7dunUaPHq0ZM2bkOnSXWkxMjG666aY8P5ezZs3Sjh07tHjxYpUrVy7PfeXGwoULNWTIkJSVxc5Ut25d3Xrrrbr++utVt25dlS9fXn6/Xzt37tTy5cs1Y8YMffXVVxkeL2Hbtr788kt9/fXXuvPOO/X888+rYsWKwX5ICBJH81byGQqS6eQJ2X/tklW7rpl6AAAAAACgUCFIhqBr27at2rZtq+HDhyspKUmrV6/Wr7/+qs2bN2vr1q3auXOn9u/fr7i4uAz3d7vdql69umrWrKnatWurZcuWat++vdq1a6cyZcrk74MBAAAAiiivT3r692nyRGX8e3tuXVz8InUs29xoTQAAAACF1yOPPJKjINl3332n3377TR06dAhiV1n75JNPtHPnznTbBwwYELKD2pPNmTNHx48fV2xsrPbv36/Nmzfr+++/15IlS/ItiFCxYkWtXbtWcXFxOnbsmH7//XetX79e8+fPz3bVlsJixowZGjBgQKjbyNbBgwf13nvvadKkSfrzzz9D3Q5yIByfu++++07XXXddpitN1a1bV1deeaU6duyoqlWrqkyZMjp16pQOHz6sv/76Sz/++KN++OGHoKy6xWsyMD6fT3PnztXo0aO1bNkyY3XfffddDRs2TPHx8Ubq/fbbb+rZs6cWL14slyv/DpHxeDx64IEHNG7cuAzvj4yM1BNPPKHHHntMbrc7zX0Oh0P16tVTvXr11LdvX/38888aMGCANm/enGEtn8+nSZMmadKkSTnu0+l0qnjx4urSpYtmzpyZr98jpOVs3kq+Lz4zVs8fs14OgmQAAAAAACADvAOEfBUREaGOHTuqY8eO6e6Li4tTXFycEhMTZVmWoqOjFR0draioqBB0CgAAACC1T2P2a03kbKM1Lduhsa0GGa0JAAAAoHA7++yzdf755+uHH34IeJ8RI0Zo1qxZQewqayNHjky3zel06oEHHghBN2nVq1cvw+1r1qxRnz598rwSTCCcTqdat26dcrtr166STh8UP378eD366KNGVrcJZxmtMhNOfvzxR02YMEGffvqpEhMTQ90OciBcn7uVK1fq2muv1alTp9LdV69ePY0cOVLdunWTw+HItMb9998v27Y1f/58vfHGG0aDTLwms3bkyBFNnjxZ48aNy3SVrdywbVuPPvqoXn/9dWM1ky1ZskRPP/20XnrpJeO1M3L8+HH16NFD3377bYb3lypVSosWLVKnTp0CqtexY0f9+uuv6tGjhxYvXmyyVfl8Pp04cUJz5szRTz/9pPPPP99ofQTOKldeVrXqsv/ZY6SeP2a97K7dZFmWkXoAAAAAAKDwIEiGsFGsWDEVK1Ys1G0AAAAAOEOiR3ph57vyRScZrdu97FVqVqKO0ZoAgKLhpS+ko+mPOQWAdMoWl4ZfE+ouYNojjzySoyDZnDlztH37dtWvXz+IXWVs6dKl+u2339Jtv/HGG1W3bviuENG2bVv99NNP6tChg37//feQ9OB0OjVs2DBFRUVp4MCBIekhv/Tv31/9+/fPcsyzzz6r//3vf9nW6tevn6ZOnZrnnhISEjR16lRNmDBB69evz3M95J9wf+7279+v7t27Zxgi6969u95//32VLFkyoFqWZalbt27q1q2bPv74Yw0ZMkTHjh3Lc4+8JjMWExOj0aNHa/r06YqLizNa2+PxqH///poxY4bRuqmNHDlSt99+uxo2bBi0OSTpxIkT6tKlS4b//0tSVFSUvvrqK51zzjk5qlu8eHHNnTtXl156qX788UcTrabz999/B6UuAudo1ko+Q0Ey+9BB2Qf2yapc1Ug9AAAAAABQeBAkAwAAAABkacr6ndoUtcBoTZcdoVEt7jBaE6Fnx56UihWXlcUZwwHAhKOnpMOxoe4CABAq11xzjZo0aaItW7YENN7n82nkyJEaP358kDtLL7NVVR5++OF87iTnSpYsqRkzZqhDhw4h7ePOO+/Uyy+/rD///DOkfRQ1Xq9XjzzyiGJj+aWroAn3527gwIHau3dvuu1XXXWVZs6cKbfbnau6N998szp37qwrrrhCmzdvzmubYSfUz+uMGTPUu3fvoNT2er3q1auXPv/886DUT5aUlKRHH31Un332WdDmSExM1NVXX51piEySnnnmmRyHyJJFRkbqk08+UYsWLXTkyJHctpmpcF+NryhwtGgl3zeLjNXzx2yQgyAZAAAAAAA4A0d2AQAAAAAydSpRev2ft2VbfqN1+1XqoVrRVYzWRGjZcafkmTRa3g/elZ1kdvU6AAAAIDXLsvTQQw/laJ+pU6fq4MGDQeooY5s3b9bChQvTbb/44otDHs4KVPv27dWqVauQ9mBZlnr27BnSHoqiEiVK6KabblKTJk30f//3f/r444/1448/asGCBbrvvvsUERER6haRiXB+7hYvXqx58+al216+fHlNnTo11yGyZDVr1tSSJUtUo0aNPNUJR6F+Xi+//HJFRkZKOv197tKli3r37q0LLrhALlfuz1/s9/vVt2/fDENkFSpU0KBBgzRjxgxt2bJFR48eVWJionbv3q0ffvhBDz74oKpUydn7i3PnztUff/yR636zc88992j58uWZ3t+yZcs8h8mrVq2qUaNG5alGZipXrhyUugicVaWaVK68sXr+mPBbmRIAAAAAAIQeK5IBAAAAADI1ZvUmbY/6zmjNKBXTK836Gq2J0LI9Hnnef0f2gf2yD+yX552xcvcfKKt4iVC3BgAAgEKqT58+evLJJ7V///6AxsfHx2vs2LH63//+F+TO/vP6669nuLJHQViNLLWzzz5b69eH9iDkNm3ahHT+omrChAkZBnuuuuoqXXzxxbr++uvzvykEJFyfuxdeeCHD7QMHDlTFihWNzFGlShV98sknOu+88+Tz+YzUDBehfF4rVKig6dOnq2HDhmrdunWa+7Zu3aru3bvnaiW4wYMH66OPPkqzrUWLFho+fLh69uyZYUitZs2aqlmzps477zw9/fTTGjhwoGbNmhXQfLZta8yYMXrrrbdy3Gt2Pv74Y02ePDnLMXfffXeegnfJ+vTpo1GjRmnt2rV5ruV0OlWiRAl17txZnTt3znM95I1lWXI2byXfD2bek7f/3i372FFZZcoaqQcAAAAAAAoHViQDAAAAAGToWJw09tAE43XvrnarKkSUMV4XoWH7/fJ+PE32zh3/bdu9U57xb8o+cjiEnQEAAKAwi4yM1LBhw3K0z7hx4xQXFxekjtLat2+fPvzww3Tbmzdvrq5du+ZLD6bUqlUr1C2oXr16oW6hSMpqdajrrrtOHTt2zMdukBPh+Nxt3rw505WaTP+72LFjxxz/H1EQhPp5vfHGG9OFyCSpcePGeu+993Jcb8SIEXrnnXdSbpcpU0bjx4/XunXrdMsttwQUuCpdurRmzpyp7t27BzzvrFmzMgx658WRI0d03333ZTkmKipKN910k5H5LMvSk08+GdDYCRMmyLbtTC9er1fHjh3TggULFBUVZaQ/5I2judnVYP2bNhitBwAAAAAACj6CZAAAAACADL286hftifrNaM2SKqtnGt9stCZCy/fFZ/JvXJduu33ogJLGvSH/37tD0BUAAACKgiFDhqh48eIBjz98+LDefffdIHb0nzFjxigxMTHd9ocffliWZeVLD6aUL18+1C2oZMmSoW4BGbj22mtD3QJyKRTP3aeffprpfVWqVDE+39NPP62yZYvWCjyhfE127NhRzZs3D3j83Llz9fjjj6fcvuCCCxQTE6MhQ4bI4cj5YSxTpkxRtWrVAhq7b98+rVuX/r2svBgxYoQOHDiQ5ZiLL75YZcqUMTbn9ddfrxo1amQ77v/+7//0zz//GJsXwWfVrisVL2Gsni8mtCvLAgAAAACA8EOQDAAAAACQzv7jtt47MdF43cdq91dJV+AHeiK8eX/4Tr4fl2U+IPakPJNGy791U/41BQAAgCKjXLlyGjBgQI72eeONN+Tz+YLU0WmnTp3ShAnpV3euVq2abr311qDOHQyRkZGhbkHFihULdQvIQKtWZldMQf4JxXO3bFnm7x+cPHnS+Hxly5bVPffcY7xuOAv1a/LCCy8MeGzv3r3l9/slSQ8++KCWLFkScBAsI6VLl9aDDz4Y8PgVK1bkeq4zHT16VGPHjs12XNu2bY3NKUlOp1M9e/bMdtyJEyfShPYQ/iyHQ45mLYzVs3f8ITvulLF6AAAAAACg4CNIBgAAAABI55lVS3UoYrPRmhWsKnqowfVGayJ0fOvXyPfFZ9kPTEqSZ+rb8v22MvhNAQAAoMh54IEH5HQ6Ax6/c+dOzZo1K4gdSe+++66OHj2abvt9992niIiIoM4dDDn5/qJoqVmzZqhbQC6F4rlbvz7zFXH++OOPoMw5bNiwAvnvbm6F+jXZsGHDgMeeOnVKlmXpjTfe0MiRI438X9OnT5+AVzPbtMncSY9mzJihU6eyD+mYDpJJ0g033BDQuJkzZ+rQoUPG50fwOJq3NlfM75d/S4y5egAAAAAAoMAjSAYAAAAASGPnYa8+TjC/GtnzDe5UpKPoHLxTmPn/3C7vzA9ysINf3k8+lHfJYtm2HbzGAAAAUOTUrVtXPXr0yNE+r732WpC6kXw+n958881020uWLKlBgwYFbV4gFCpWrBjqFpBL+f3cxcXF6eDBg5nev3Tp0qDMW7FiRXXv3j0otcNRqF+TOZnfsiy9/fbbeuCBB4zNX6lSJXXo0CGgsVu2bDE274wZMwIa17hxY2NzJjvnnHMUHR2d7bjExERNnTrV+PwIHkeDRlKEuVVh/RszD/MCAAAAAICihyAZAAAAACCNx1cv1HH3bqM1azjr6q7aVxqtidDwH9gvz/vvSF5vjvf1LV4g72ezZPt8QegMAAAARdUjjzySo/Fr1qzR119/HZReZs+erT///DPd9rvuukulS5cOypxAqPAzXXDl93N3/PjxLO//6KOPAlrRKTf69esXlLrhKNSvybJlywY8dvTo0brzzjuN99CpU6eAxu3bt8/IfCdPntQvv/wS0NhgPD9utzvg8Ny8efOMz4/gsdxuORo3NVbP//tm2UlJxuoBAAAAAICCjSAZAAAAACBFzN5EzfO+a7zuyCaD5bScxusif9knT8jz3gQpPi7XNfwrf5T3g3c5cAEAAADGdOjQQRdddFGO9hkxYkRQenn99dfTbXO5XLr//vuDMh8QSsWLF5dlWaFuA7mQ389ddquTHzt2TC+//HJQ5u7SpUuOAk4FWahfk8WLFw947D333BOUHlq2bBnQuKxWyMuJlStXyhvgyZZKlixpZM4zNW/ePKBxq1atCrhXhAdH81bmink88m8ztxIfAAAAAAAo2AiSAQAAAAAkSbYt/d/aOYpzHTBat4m7hXpWPd9oTeQ/OzFRnikTpaNH8lzLv3mjPG+PkR170kBnAAAAgPTwww/naPw333yjNWvWGO1h2bJl+vXXX9Ntv/nmm1WzZk2jcwHhIjo6OtQtIJfy87krU6ZMtmNeffVVfffdd8bndrvduuqqq4zXDVehfE1GRUWFbO5kDRo0CGjc4cOHjcy3ZUvgwZxgBcmaNGkS0Li4uDht3LgxKD0gOBxNmktOcydn88dsMFYLAAAAAAAUbATJAAAAAACSpJ93x+ob633jdUc3H8IZygs42+eT98Mpsvf8ba7mX7vkmfCm7MNmzgANAACAou2qq65Ss2bNcrTPa6+9ZrSHjFYjk3IecgMKkoiIiFC3gFzKz+euWLFi2YaMvF6vrrvuOi1fvtz4/FdffbXxmuEqlK/JyMjIkM2drFq1agGN8/l8SkpKyvN8f/31V55r5FX16tUDHrtjx44gdgLTrOhoWfUaGqvn37xRts9nrB4AAAAAACi4XKFuAMhKbGysNmzYoI0bN+rgwYM6fvy4jh8/LqfTqZIlS6pEiRKqWbOmGjdurMaNG6ts2bKhbhkAAAAokPy29NjGGUqMOG607llR5+iyiu2M1kT+sm1b3s9myb91k/nahw4qafybct8+SI4atYzXBwAAQNFhWZYeeugh3XHHHQHvM2vWLL300kuqU6dOnuffsmWLFixYkG775ZdfrtatW+e5PhCuCJIVXPn93LVs2TLDVRtTO3nypC655BK98cYbuueee4zNfcstt+iWW24xVi+chfI16Xa7QzZ3svLlywc8NjExMc/frxMnTuRoPpfL/CE6lStXDnjs0aNHjc+P4HK2aCXvtsBXvstS3CnZO3fIqm8unAYAAAAAAAomgmQIKz6fT99//73mzp2rhQsXavv27Tnav3HjxurSpYsuu+wyde3aNShvxAIAAACF0Vd/HNEK18fG645tOcR4TeQv37eL5f/1p+BNEHtS/s0bCZIBAAAgz2677TY9+eST2rt3b0DjfT6f3njjDY0ePTrPc7/++uuybTvd9kceeSTPtYFw5nQ6Q90Ccim/n7tzzz032yCZJHk8Hg0bNkzz58/X+PHjVb9+/XzorvAI5WsyHD6bL1WqVMBjTaxI5vV6Ax4bGxur4sWL53nOM5UuXTrgsQTJCh5Hs5bSZ7OM1fPHrJeDIBkAAAAAAEWeI9QNAJL0zz//6IknnlDVqlXVpUsXjRkzRn/88Yds287RZcuWLRo3bpyuv/56VatWTQ8++KC2bt0a6ocHAAAAhDWfX3py6/vyOuKN1u1SvIvOLtPYaE3kL9+qlfJ9vTCoczjanS1nl65BnQMAAABFQ0REhO69994c7fPuu+/q8OHDeZp3//79mj59errtbdq0UZcuXfJUGwh3BMkKrvx+7q699tocjf/qq6/UokULPfHEEzp27FhwmiqEQvmaDId/D5xOpxyOwA6DyUkILDM5CXEdOHAgz/NlJDIyMuCxiYmJQekBwWOVKi2rVh1j9Xwx6zM8+QEAAAAAAChaCJIhpHbv3q0+ffqobt26euWVV3To0KGUUJhlWbm6JO9/6NAhvfXWW2rRooX69u2rP/74I9QPFwAAAAhLn27eqzURc4zWtGynxrYeaLQm8pf/9y3yfvpRUOewGjaWq8fNsiwrqPMAAACg6Bg8eLBKlCgR8Pi4uDiNGzcuT3OOGTMmwwOzH3744TzVBQoC/p4ruPL7ubv00kvVsGHOVsFJSEjQSy+9pHr16unll19WbGxskLorPEL5mgw0wBVsbrc7oHEmwjRly5YNeOw///yT5/kykpOV4HLyOxLCh6N5S3PFjh2V/c/f5uoBAAAAAIACKTzeyUOREx8fr6efflpNmzbVjBkz5PF40oXHJOV4RTJJ6UJlPp9PH374oZo1a6bHH3+cs2wBAAAAqXi80nM73pHfyvsZeFO7oew1aly8ptGayD/+f/bIM/1dye8P2hxWtepy3zZAVg4OdgEAAACyU6ZMGd1555052mfs2LGKj8/dCs1xcXGaMGFCuu21atXSTTfdlKuaQEESLsER5Fx+P3eWZempp57K1b5Hjx7V8OHDVadOHb3wwgs6ceKE4e4Kj1C+JotisLRBgwYBj/3999+D0kNOApZVqlQJSg8ILkfz1kbr+WPWG60HAAAAAAAKHo7WQr777bffdPPNN+vPP/9ME/5Klpczf6Xe98xAmtfr1YgRI/T5559rypQp6tixY67nAQAAAAqL99Zv16bIL43WdNkRerPFAKM1kX/so0fkmTJRCuZJOMqUlfv2wbKiooM3B4BCrWzxUHcAoKDg34ui6YEHHtDYsWPl9QZ2woyDBw9qypQpGjp0aI7neu+993TkyJF02++///4crRACAEVBnz599OGHH2rx4sW52v/w4cN66qmnNHLkSN177726//77c7QiFIKrKAbJOnToEPDYTZs2BaWHnAQrGzduHJQeEFyOipVkVaos+8B+I/X8Meuly682UgsAAAAAABRMfIKFfPXGG29o+PDhSkpKkmQuQJaRM1coS962detWXXTRRXrzzTc1ePBgo3MCAAAABUl8kvTqnklSlNnfxftX7KUa0ZWM1kT+sOPj5JkySTpxPHiTREfLPWCwrFKlgzcHgEJv+DWh7gAAEM5q1aqlnj176qOPPgp4nzfeeEODBg2S0+kMeB+fz6dRo0al256bVdEAZG3nzp2qW7duyOafMmWK+vfvH7L5C5P3339f55xzjnbt2pXrGseOHdNzzz2nN998U/fcc48eeOABVahQwWCXQGDq16+vypUra//+7AM+K1asCEoPJ0+eDGhciRIl1Lx586D0gOBzNG8t34GvjNSy9+2VfeigrAoVjdQDAAAAAAAFD0GyfPTSSy+FuoV0hg8fni/z+P1+DRgwQB988IFs2w5qgOxMGQXKkpKSdPfdd2vNmjWaMGGCHA5HUHsAAAAAwtFbazboz6gfjNaMskvo1Ra3Ga2J/GF7PfJMmyx7/97gTeJ0yt33TjkqVw3eHAAAAICkRx55JEdBsu3bt2v27Nnq1atXwPvMmTNHO3bsSLd98ODBKlmyZMB1AKAoqVy5sr777jt16dIlw39Dc+LEiRN66aWX9NZbb2no0KF66KGHVLlyZUOdAoHp2bOnxo4dm+24jRs36siRIypXrpzR+f/888+Axl100UVyu91G50b+cTRvKd93ZoJkkuSLWS/XhZcaqwcAAAAAAAoWgmT56Mknn0wToAoH+REkS0pKUq9evTR//vw0IbJgB8jOdGagzLZtTZ48WUePHtVHH32Uo7OMAgAAAAXd8Thbow+OlyLN1h1WvbfKuVlpqqCx/X55P5khe8cfQZ3H1es2Oeo1DOocAAAAgCS1bdtWl1xyiZYsWRLwPq+99lqOgmQjR45Mty0iIkL33ntvwDUAoCiqW7eufv75Z9144436/vvv81zv1KlTeu211zRu3Dg9+OCDevTRRwn0It/cdtttAQXJ/H6/5s+fr379+hmdf+3atQGN6927t9F5kb+sGrWkUqWlE8eN1PNv2iARJAMAAAAAoMhiGaYQsW07Xy8ZzZ0fvF6vrr322pCHyFJLHSizbVuzZ8/WjTfeKK/XG7KeAAAAgPz28uqftTdyrdGapVROzzS5yWhN5A/f4i/kX7sqqHM4r7pOzjbtgzoHAAAAkNojjzySo/G//fabvvvuu4DG/vDDD1q5cmW67b1791bVqqzACwDZqVixopYsWaKnn37a2Ak/4+Li9MILL6h+/fqaMGFCSD+TRtFxzjnn6LzzzgtobE5WSw3UunXrsh1TpUoVde/e3fjcyD+WZcnRvJWxevauP2WfPGGsHgAAAAAAKFgIkuWjQYMGqV69eulWxgr2RfovPOZ0OtWsWTN1795d//d//xf0x3znnXfq66+/Tnm8+Rliy0pyH8k9zZs3T3fddVeo2wIAAADyxcGTfk0+PsF43cfrDFBxZ7Txuggu308/yLf0m6DO4eh0gZwXXBLUOQAAAIAzXXnllWrZsmWO9hkxYkRA41577bV02yzL0sMPP5yj+QCgKHM6nfrf//6nlStXqnXr1sbqHjx4UEOHDtXFF1+sP//801hdIDMvvvhiQOO++uorbdu2zdi8+/bt0+rVq7MdN3z4cEVGRhqbF6HhbGEuSCbbln/TRnP1AAAAAABAgUKQLB9NmDBB27Zt008//aRu3bqlBKqCteKYbduqV6+e+vbtq0mTJmnVqlWKjY3Vxo0bNXv2bL300ktBfbzPPvuspk2bFharkGUmdZhs2rRpAb/BCwAAABRkT676VocjzB2wIEkVrep6sH43ozURfL5NG+Sd+2lQ53A0byXXtTek/G0IAAAA5KeHHnooR+O//PJLrV+/PssxW7du1RdffJFu+1VXXaVmzZrlaD4AgNS+fXutWrVKb775pkqXLm2s7rJly9SyZUvNmjXLWE0gIxdccIFuuummbMfZtm30mITp06fL5/NlOaZly5YaPHiwsTkROlbdBlJ0MWP1/DFZ/84LAAAAAAAKL4JkIXDOOefo888/11tvvZUSZMqt5FXHkoNjLpdLV1xxhSZOnKgdO3Zo27Ztmjp1qu666y61bdtWERERBh9J5ubPn6/nnnsu6CGyQFdkC6SObdt65plntGDBgqD0CgAAAISD3Ue8+ihukvG6Lza4SxEOt/G6CB7/7p3yzpgqBfGkH1atOnLd3FeWg7cfAAAAEBq33nqrqlevnqN9MlptLLWRI0dm+LnHI488kqN5AAD/cTqduu+++7R9+3bde++9crvNvM906tQp3XzzzXr55ZeN1AMyM3HiRNWqVSvbcR988IFWrVqV5/m8Xq8mT56c5ZjIyEhNnTrV2OsJoWU5nXI0bW6snv+PrbIT4o3VAwAAAAAABQdHcoXQsGHDdNVVV+UqTHZmgKxt27YaO3as9u/fr0WLFmngwIGqU6dOcBrPxp49e9S/f/+U26ZDZGeGxLJbqS27QFnqcX6/X3feeacOHz5stGcAAAAgXPzf6vk66d5jtGYtRwPdUfsyozURXPahg/JMfVvyeII2h1W+otz97pKVTyc0AQAAADLidrt177335mifjz/+WLt3787wvgMHDuiDDz5It/2ss87ShRdemKseAQD/KV++vN566y39/vvvuv322+V0OvNc07ZtDR8+XI8//riBDoGMlSlTRp988olKlCiR5Ti/369+/fopISEhT/O98sor2rp1a5ZjJkyYoHbt2uVpHoQXR/NW5or5fPJv3WyuHgAAAAAAKDAIkoVY6sBVIM4MkHXt2lVLly7VqlWrNHToUJUpUyYofeZE//79dfTo0ZQ+TckoPOZ2u9W+fXv169dPDzzwgJ544gndd9996tWrl1q0aJHme5VVoCx1nwcOHNCgQYOM9Q0AAACEi80HEjTX857xuiObDpbD4s/LgsKOPSnPexOlU7HBm6R4cbkHDJZVomTw5gAAAAACNGjQIJUqVSrg8V6vV6NGjcrwvjFjxmR44PfDDz+c6/4AAOnVqVNH7733nrZs2aLbbrvNSKDslVde0ejRow10B2Ts7LPP1oIFC1SsWLEsx8XExOiOO+7I9fEUK1eu1AsvvJDlmOeee0633357ruojfDkaNZFc5laY88esN1YLAAAAAAAUHBzpF2KNGjUKeGzqEFW7du30ww8/aMGCBbrggguC1V6OjRs3Tt9++21QQmSSUsJjt956q+bOnasTJ07o119/1ZQpUzRy5Eg9//zzGjVqlD7++GOtX78+5cygF110UbaBsuT7bNvWZ599poULFxrrHwAAAAgHD6/5RPGuQ0ZrNnO1Vo+qnYzWRPDYSUnyvP+O7MMHgzeJ2y13/0GyKlQM3hwAAABADpQuXVp33XVXjvaZPHmyjh49mmZbXFycJkyYkG5s3bp11aNHjzz1CCBrderUSfmsLxSXnJ4cFOY0aNBAH3zwgTZs2KDu3bvnud4DDzygn376yUBnQMYuuOACffPNN6pevXqW42bMmKEBAwbI4/HkqP4PP/ygyy67TImJiRneb1mWXnrpJT311FM5qouCwYqIlKNR4zwWsWTVqiPnVdfJeflVZhoDAAAAAAAFCkGyEIuPj892TOpVyJxOp5555hmtXLlSnTt3zocOA7d79249/vjjma76lRupH3tERIQefPBB7dixQ9OnT9e1116riIiILPcvV66cevfurSVLluinn37S+eefnxJwy6zP5Pkee+wxo2E4AAAAIJR+/uuEvtEHxuuObjHE6N8ACB7b75f3o/dl794ZvEksS65b+8tRq07w5gAAAABy4f7775fbHfjqDbGxsRo/fnyabVOmTNHhw4fTjX3wwQeNrJQDAMhc06ZNNWfOHK1YsULnnnturuv4/X4NGDAg0xAOYMK5556rNWvW6Iorrshy3NSpU3Xeeedp3bp12dZMSEjQ008/rcsuu0wnT57McEyJEiU0a9YsPf7447nqGwWDo3nrnO/kdMpq1FSu7jcpYvhzirj7QbkuvFSOCpXMNwgAAAAAAMIeQbIQ27BhQ5b3p16Jq2HDhlq5cqWeeeaZsPxAcuDAgYqNjZUkIwGs1I/9kksu0fr16/X666+rWrVquap3zjnnaNmyZRo7dqyioqLSzJEsdd8xMTF6//33c9k9AAAAED5sW3p0w3QlOTI+wCC3OkZ21qUVc/GhNfKdbdvyzp8j/6as/wbNK9d1N8rZrGVQ5wAAAAByo0aNGrrppptytM+YMWOUkJAg6XTwYNSoUenGlCtXTgMGDDDSIwAge+eee65WrFihDz/8MNefG2/ZsiVdWBgwrWLFivryyy/16aefql69epmO++WXX9S2bVtdc801mjZtmn7//XfFx8crMTFRu3bt0nfffaf7779f9evX1/PPP59pCDL5mIobb7wxWA8JYcLRtLkUyMndIiLlaNVWrlv6KeKplxRxxxA5O3aWVap08JsEAAAAAABhjSBZiH3zzTeZ3pc6SHX22WdrxYoVatu2bX61liMff/yxvvrqq5TVvPIieRWy5OvPPfecvvnmGzVs2NBEqxo6dKiWLVumqlWrpsyREdu29dprrxmZEwAAAAilr3cc0grnLLNFbUtjWw82WxNB4/t+ifwrvg/qHM6Lush57vlBnQMAAADIi4cffjhH4/fv359ywrk5c+Zo+/bt6cbcfffdKlasmJH+AACBu/XWW7VlyxYNHTo00897szJ69Gj5fL4gdAak1aNHD91///1ZjrFtWwsWLFC/fv3UuHFjFStWTFFRUapTp44uueQSvfXWW/rnn38y3Ld169aaO3euvv32W9WtWzcIjwDhxipeQlbd+hnfWaKkHGd3kuv2QYp45iW5e98uZ5v2sqKj87dJAAAAAAAQ1giShVBCQoIWLFiQ4RvbqQNZXbt21ZIlS1S+fPn8bjEgx48f1wMPPJCrN+jPlDo8FxkZqc8//1xPPvlknuueqUOHDvr+++9Vo0aNNPMmz518e8uWLVqyZInx+QEAAID84vdLw7dMkc+R8Zlqc+vyEperfekGRmsiOHxrV8m3cG5Q53C0aS/nFdcEdQ4AAAAgr1q3bq3LLrssR/uMHDlSfr9fI0eOTHdfVFSU7rnnHlPthS2n0xnqFnIkryc8BFBwlCxZUuPGjdPXX3+d49XJdu7cmeVJXwETbNvWI488onvvvTdlW2RkpKpUqZKnupUqVdKAAQO0fPlyrV27Vt26dctrqyhgHM1b/XejXHk5z79E7iH3K+KJ5+XucbOcTZrLcrlD1yAAAAAAAAhrrlA3UJR99tlnOnXqVLpVvJJvW5alCy+8UPPmzQvrD+mefvpp7d+/P8+rkaUOkRUrVkyff/65unTpYqrNdOrVq6clS5aoY8eOOnLkSKb9jx8/XpdccknQ+gAAAACC6dMtf2m122yIyGE7Na71XUZrIjj8O7bJO2t6UOew6jWQq+etshycqwYAAADh75FHHtHXX38d8Pht27bp4Ycf1s8//5zuvr59+6pSpUom2wtLbndgByGHS4DL5/PJ5eIjUCDc1KlTR7t27dJXX32V41Bvdi699FKtWbNGPXr00PLlywPeb8mSJbriiiuM9gIkS0pKUt++fTVz5syUbeXLl9fnn3+u8847T1u2bNHPP/+sdevWacuWLdq9e7f279+vU6dOKTExUZGRkYqOjlaFChVUo0YN1a9fX23bttU555yjdu3aGTnRLwouZ4vWUkKCHM1byapSlZ8HAAAAAACQI3yKEkJvv/12um2p39ypX7++Zs+eHdYhsvXr12v8+PF5flMqdYjM5XJp9uzZQQ2RJatfv75mzZqlyy+/XH6/P02YLPn6woULderUKRUvXjzo/QAAAAAmeX3Ss3++IzvCZ7RujzLXq0Hx6kZrwjz//n3yTJss+cw+/6lZlavK3fdOzm4LAACAAuOyyy5T69attW7duoD3GTVqVLptDodDDz30kMnWwlZERERA47xeb5A7CYzX6yVIBoSx5cuXGw+SSadXaPr666/VtWtXLV26NOBegGA4deqUunfvnia8XqlSJX377bdq0aKFJKlJkyZq0qRJqFpEAWeVKStXlytD3QYAAAAAACigOF14iGzfvl3Lli1LF1ySToepSpcurfnz56ts2bKhbDNb99xzj3z/HpSY1zNNJq/C9sYbb+Trmd8uvvhiPfDAA2n6T309MTFRixYtyrd+AAAAAFPe3fC7NkcEfqb9QLjtKL3V6najNWGeffKEPFMmSvHxwZukVGm5bx8kK7pY8OYAAAAAguDhhx/Oc41u3bqpUaNGBroJf4EGyeLi4oLcSWA8Hk+oWwCQhW+++SZotaOiojRnzhw1aNAgoPF79uwJWi8oumJjY9W1a9c0IbJixYpp4cKFKSEyAAAAAAAAIJQIkoXIBx98kOH25DDV66+/rsaNG+dzVzkzc+ZMLV++PE0YLjeS97csSwMGDNA999xjsMvAPP/886pdu3ZKP2eaO3dufrcEAAAA5EmiR3rl70nG695e8SZVjSpvvC7MsRMT5ZkySTp6JHiTREbKfftgWWXLBW8OAAAAIEhuvvlm1ahRI081HnnkEUPdhL/SpUsHNO7QoUNB7iQwSUlJoW4BQBZ+/vlnHTx4MGj1y5YtqzFjxgQ0Nph9oGhKSEjQNddcox9++CHN9hdffFHt27cPUVcAAAAAAABAWgTJQuSDDz5IE1hKHaa64IILdMcdd4Swu+wlJCTo0UcfzTB0lROpH3ejRo0CflPftMjISD355JPpAnHJ/S1btiwkfQEAAAC59dbaddoZucJozWi7pF5t0dtoTZhl+3zyfjRV9p6/gjeJwyH3bXfIUa168OYAAAAAgsjlcun+++/P9f6dOnVSp06dzDUU5ipUqBDQuH379snr9Qa5m+zFB3Nl5gIgMTEx1C0AWfL7/frkk0+COseVV16pzp07ZzvO5/MFtQ+J12RRYtu2brvttnTHFlSpUkVDhgwJUVcAAAAAAABAegTJQmD58uX6888/Jf23AlmyyMhIvf3226FqLWAjRozQX3+dPjAxt6uRpX7cDodDU6ZMUVRUlJH+cqN///6qWrWqJKVbZW3Pnj3av39/qFoDAAAAcuRUgq23Dkw0Xve+6n1Vxl3SeF2YYdu2vPNmy785JqjzuG68RY5GTYI6BwAAAIqGzA7g9/v9QZ974MCBAa+0dab8Wo0sJwGHYH7PAg2Seb1e7dixw/j8tm1r5MiRAY8/deqU8R7CgcvlCmhcXFxckDsB8u7dd98N+hw9evTIdkz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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Figure 3(b): plot figure\n",
    "\n",
    "x1 = np.arange(0.001,1, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "y_diff=[]\n",
    "for i in x1:\n",
    "    y.append(SWm(i))\n",
    "    y_s.append(SWs(i))\n",
    "    y_p.append(SWp(i))\n",
    "    y_diff.append(SWm(i)-SWp(i))\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38',linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d',linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc=(0.25,0),frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4ae2b789",
   "metadata": {},
   "source": [
    "# Figure 4 Social Welfare Comparison Between CUS and CUE of the Multi-Listing System"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f808c220",
   "metadata": {},
   "outputs": [],
   "source": [
    "def CUS_SW(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    x_m = (2*t*mu + Lambda*t - math.sqrt((t - Lambda*t)**2 + 8*Lambda*c*t))/(4*Lambda*t)\n",
    "    Lambda_1 = 1-c /(v-t/2)\n",
    "    Lambda_2 = (1-c/(v-t/2))/(2-2*v/t)    \n",
    "    if Lambda < Lambda_1:\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)+t*x_m**2)\n",
    "    elif (Lambda_1 <= Lambda and t <= v) or (Lambda_1 <= Lambda < Lambda_2 and t > v):\n",
    "        return Lambda*t*x_m**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2\n",
    "    \n",
    "\n",
    "\n",
    "\n",
    "\n",
    "def CUE_SW(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    def hh(m):\n",
    "        x,Lambda=m\n",
    "        a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "        b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "        return [a,b]\n",
    "    theta=fsolve(hh, (0.1,0.4))\n",
    "    numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "    denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "    Lambda_2=numerator / denominator\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "7ff66eae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192cb6b40>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Figure 4(b): plot figure\n",
    "mu=0.5\n",
    "t=1.15\n",
    "v=1\n",
    "c=0.2\n",
    "x1 = np.arange(0.001, 2.5, 0.01)\n",
    "CUE=[]\n",
    "CUS=[]\n",
    "for i in x1:\n",
    "    CUE.append(CUE_SW(i))\n",
    "    CUS.append(CUS_SW(i))\n",
    "plt.figure(figsize=(4, 2.5))       \n",
    "plt.plot(x1, CUS, label='CUS',color='#619cff')\n",
    "plt.plot(x1, CUE, label='CUE',color='#00ba38', linestyle = \"--\")\n",
    "plt.text(1-c /(v-t/2),0.02,r'$\\Lambda_1^c$',fontsize=13)\n",
    "plt.vlines(1-c /(v-t/2), 0.02, 0.07, 'black', '--')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend( frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "0f56abd9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192fba5a0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Figure 4(a): plot figure\n",
    "\n",
    "mu=0.5\n",
    "t=0.8\n",
    "v=1\n",
    "c=0.2\n",
    "x1 = np.arange(0.001, 2.5, 0.01)\n",
    "CUE=[]\n",
    "CUS=[]\n",
    "for i in x1:\n",
    "    CUE.append(CUE_SW(i))\n",
    "    CUS.append(CUS_SW(i))\n",
    "plt.figure(figsize=(4, 2.5))       \n",
    "plt.plot(x1, CUS, label='CUS',color='#619cff')\n",
    "plt.plot(x1, CUE, label='CUE',color='#00ba38', linestyle = \"--\")\n",
    "plt.text(1-c /(v-t/2),0.005,r'$\\Lambda_1^c$',fontsize=13)\n",
    "plt.vlines(1-c /(v-t/2), 0.005, 0.05, 'black', '--')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend( frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7edcb04",
   "metadata": {},
   "source": [
    "# Figure 5 Expected Utility as a Function of Customer Type in the Social Optimum Under CUS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7b6dc8ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "#parameters\n",
    "\n",
    "mu = 0.5\n",
    "\n",
    "t = 0.8\n",
    "v = 1.0\n",
    "c = 0.1\n",
    "\n",
    "l=0.85 #arrival rate is l\n",
    "\n",
    "# solve CUS optimal for different \\Lambda(arrival rate)\n",
    "def f(x):\n",
    "    return t*(1-2.0*x)-c*mu/((mu-0*x)*(mu-0*x))\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "a= 0.5\n",
    "b= 0.5\n",
    "cc=0\n",
    "    \n",
    "def SW1(x):\n",
    "    return  -(v-0.5*t*x[0]-c*(1.0/(mu-l*x[0])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[0]-(v-0.5*t*x[1]-c*(1.0/(mu-l*x[1])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[1]-(v-t*(mu-l*x[0])/(2.0*mu-l*(x[0]+x[1]))-t*l*(x[0]-x[1])*(x[1]+0.5*x[2])/(2.0*mu-l*(x[0]+x[1]))-c*1.0/(2*mu-l*(x[0]+x[1]+x[2])))*l*x[2]\n",
    "\n",
    "cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "    {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "    {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "    {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "    {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "    {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "    {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "    {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "    {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "   )\n",
    "res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "#starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "x1 = res.x[0] #store current solution in the list x1\n",
    "x2 = res.x[1] #store current solution in the list x2\n",
    "x3 = res.x[2] #store current solution in the list x3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0c367757",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#define utility as a function of x:\n",
    "def UA(x):\n",
    "    return v-t*x-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x):\n",
    "    return v-t*(1-x)-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR(x):\n",
    "    return (v-t*x)*(mu-l*x1)/(2*mu-l*x1-l*x2)+(v-t*(1-x))*(mu-l*x2)/(2*mu-l*x1-l*x2)-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "xxx1 = np.arange(0, x1, 0.001)\n",
    "UA1=[]\n",
    "for i in xxx1:\n",
    "    UA1.append(UA(i))\n",
    "    \n",
    "xxx2 = np.arange(1-x2, 1, 0.001)\n",
    "UB1=[]\n",
    "for i in xxx2:\n",
    "    UB1.append(UB(i))\n",
    "    \n",
    "xxx3 = np.arange(1-x2-x3, 1-x2, 0.001)\n",
    "UR1=[]\n",
    "for i in xxx3:\n",
    "    UR1.append(UR(i))\n",
    "\n",
    "    \n",
    "    \n",
    "#plot figure 5（a）\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx1, UA1, label='Single-lisitng with A',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx2, UB1, label='Single-listing with B',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx3, UR1, label='Multi-listing R',color='#f8766d')\n",
    "plt.xlabel(r'$x$',fontsize=13)\n",
    "plt.ylabel(r\"Expected Utility\", fontsize=13)\n",
    "plt.vlines(x1, 0.3, UA(x1), 'black', ':', linewidth=0.8)\n",
    "#plt.vlines(0, 0.3, UA(0), 'black', '--', linewidth=0.8)\n",
    "plt.vlines(1-x2-x3, 0.3, UR(1-x2-x3), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1-x2, 0.3, UB(1-x2), 'black', ':', linewidth=0.8)\n",
    "#plt.vlines(1, 0.3, UB(1), 'black', '--', linewidth=0.8)\n",
    "plt.xlim(0, 1)\n",
    "\n",
    "plt.arrow(0.5*x1-0.02, 0.32, -0.5*x1+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(0.5*x1+0.03, 0.32, 0.5*x1-0.04, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text(0.5*x1-0.01, 0.31, '$x_A^*$')\n",
    "\n",
    "plt.arrow(1-x2-x3*0.5-0.02, 0.32, -0.5*x3+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(1-x2-x3*0.5+0.03, 0.32, 0.5*x3-0.04, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text((1-x2-x3+0.1+1-x2-0.10)/2-0.015, 0.31, '$x_R^*$')\n",
    "\n",
    "plt.arrow(1-0.5*x2-0.02, 0.32, -0.5*x2+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(1-0.5*x2+0.03, 0.32, 0.5*x2-0.04, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text(1-0.5*x2-0.01, 0.31, '$x_B^*$')\n",
    "\n",
    "\n",
    "plt.legend(frameon=False,loc=9)\n",
    "plt.savefig('social_optimal_utility85.eps',format='eps',bbox_inches=\"tight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "7b591939",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1931091c0>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 4950x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#parameters setting: l=0.85 is \\labmda, the arrival rate\n",
    "mu = 0.5\n",
    "\n",
    "t = 0.8\n",
    "v = 1.0\n",
    "c = 0.1\n",
    "\n",
    "l = 0.85\n",
    "x1 = 0.21920330165928748\n",
    "x2 = 0.18369602969543333\n",
    "x3 = 0.29400008353342505\n",
    "\n",
    "#define utility as a function of x:\n",
    "def UA(x):\n",
    "    return v-t*x-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x):\n",
    "    return v-t*(1-x)-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR(x):\n",
    "    return (v-t*x)*(mu-l*x1)/(2*mu-l*x1-l*x2)+(v-t*(1-x))*(mu-l*x2)/(2*mu-l*x1-l*x2)-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "xxx1 = np.arange(0, x1, 0.001)\n",
    "UA1=[]\n",
    "for i in xxx1:\n",
    "    UA1.append(UA(i))\n",
    "    \n",
    "xxx2 = np.arange(1-x2, 1, 0.001)\n",
    "UB1=[]\n",
    "for i in xxx2:\n",
    "    UB1.append(UB(i))\n",
    "    \n",
    "xxx3 = np.arange(1-x2-x3, 1-x2, 0.001)\n",
    "UR1=[]\n",
    "for i in xxx3:\n",
    "    UR1.append(UR(i))\n",
    "\n",
    "    \n",
    "    \n",
    "#plot figure 5(b)\n",
    "plt.figure(figsize=(5.5, 2.5))    \n",
    "plt.plot(xxx1, UA1, label='Single line A',color='#619cff')\n",
    "plt.plot(xxx2, UB1, label='Single line B',color='#00ba38')\n",
    "plt.plot(xxx3, UR1, label='Multi line R',color='#f8766d')\n",
    "plt.xlabel(r'$x$',fontsize=13)\n",
    "plt.ylabel(r\"Uility\", fontsize=13)\n",
    "plt.vlines(x1, 0.3, UA(x1), 'black', '--', linewidth=0.8)\n",
    "plt.vlines(0, 0.3, UA(0), 'black', '--', linewidth=0.8)\n",
    "plt.vlines(1-x2-x3, 0.3, UR(1-x2-x3), 'black', '--', linewidth=0.8)\n",
    "plt.vlines(1-x2, 0.3, UB(1-x2), 'black', '--', linewidth=0.8)\n",
    "plt.vlines(1, 0.3, UB(1), 'black', '--', linewidth=0.8)\n",
    "plt.xlim(0, 1)\n",
    "\n",
    "plt.arrow(0.5*x1-0.02, 0.32, -0.5*x1+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(0.5*x1+0.02, 0.32, 0.5*x1-0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text(0.5*x1-0.01, 0.31, '$x_1$')\n",
    "\n",
    "plt.arrow(1-x2-x3*0.5-0.02, 0.32, -0.5*x3+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(1-x2-x3*0.5+0.02, 0.32, 0.5*x3-0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text((1-x2-x3+0.1+1-x2-0.10)/2-0.015, 0.31, '$x_3$')\n",
    "\n",
    "plt.arrow(1-0.5*x2-0.02, 0.32, -0.5*x2+0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.arrow(1-0.5*x2+0.02, 0.32, 0.5*x2-0.03, 0.0, color='gray', linewidth=0.5, width=0.002)\n",
    "plt.text(1-0.5*x2-0.01, 0.31, '$x_2$')\n",
    "plt.legend(frameon=False,loc=9)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96e1b2d6",
   "metadata": {},
   "source": [
    "# Figure 6 -Figure 8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "098b21ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "#solve optimal for parameters \n",
    "\n",
    "mu = 0.5\n",
    "\n",
    "v=1\n",
    "c=0.1\n",
    "t=0.8\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "\n",
    "\n",
    "def xm(lam):\n",
    "    a = 2.0*lam\n",
    "    b = -2.0*mu-lam\n",
    "    d = 1.0*mu-c/t\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def xs(lam):\n",
    "    a = 1.0*t*lam\n",
    "    b = -1.0*t*mu-v*lam\n",
    "    d = -1.0*c+v*mu\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def throughtput_eq(l):\n",
    "    if t<=v:\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    else:\n",
    "        return(2*xs(l)*l)\n",
    "\n",
    "def x1_eq(l):\n",
    "    if t<=v:\n",
    "        return(xm(l))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(xm(l))\n",
    "    else:\n",
    "        return(xs(l))\n",
    "    \n",
    "def x_opt(l):\n",
    "    def func2(x):\n",
    "        return t*(1-2.0*x)-c*mu/((mu-l*x)*(mu-l*x))\n",
    "    def func(x):\n",
    "        return np.sqrt(1.0*v-t*x)-np.sqrt(c*mu)/(mu-l*x)\n",
    "    if t<=v:\n",
    "        return(fsolve(func2,0)[0])\n",
    "    elif l<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t)))/(2-2*v/t):\n",
    "        return(fsolve(func2,0)[0])\n",
    "    else:\n",
    "        return(fsolve(func,0)[0])\n",
    "\n",
    "def x3_eq(lam):\n",
    "    if t<=v:\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    else:\n",
    "        return(0)\n",
    "# solve CUS optimal for different \\Lambda(arrival rate)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "xsum=[]\n",
    "eq_through=[]\n",
    "\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "\n",
    "a= 0.3\n",
    "b= 0.3\n",
    "cc=0\n",
    "\n",
    "xxx=np.arange(0.1,6,0.0001) \n",
    "#xxx is the list for different \\Lambda(arrival rate)\n",
    "#(step choose 0.00001 because I find only when step is small the solver can give continuous solution)\n",
    "# x1 stores all x1\n",
    "\n",
    "\n",
    "for i in xxx:\n",
    "    l=i #arrival rate is l\n",
    "    #define optimization problem here\n",
    "    def SW1(x):\n",
    "        return  -(v-0.5*t*x[0]-c*(1.0/(mu-l*x[0])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[0]-(v-0.5*t*x[1]-c*(1.0/(mu-l*x[1])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[1]-(v-t*(mu-l*x[0])/(2.0*mu-l*(x[0]+x[1]))-t*l*(x[0]-x[1])*(x[1]+0.5*x[2])/(2.0*mu-l*(x[0]+x[1]))-c*1.0/(2*mu-l*(x[0]+x[1]+x[2])))*l*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    #end define\n",
    "    #solve opt problem\n",
    "    res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "    x1.append(res.x[0]) #store current solution in the list x1\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1]) #store current solution in the list x2\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2]) #store current solution in the list x3\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    if i<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t))):\n",
    "        through.append(i)\n",
    "    else:\n",
    "        through.append(sum(res.x)*l)\n",
    "    eq_through.append(throughtput_eq(l))\n",
    "    xeq3.append(x3_eq(l))\n",
    "    xeq1.append(x1_eq(l))\n",
    "    PA.append(PriceA(a,b,cc,l))\n",
    "    PB.append(PriceB(a,b,cc,l))\n",
    "    PR.append(PriceR(a,b,cc,l))\n",
    "    if res.success == 'False':\n",
    "        print('False when arrival is')\n",
    "        print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b330fdfd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192ef8500>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot figure 7(a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, xeq3, label=r'$q_R^{eq}$ (Equilibrium)',color='#619cff', linestyle=\"--\")\n",
    "plt.plot(xxx, x3, label=r'$x_R^*$ (Social Optimum)', color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Proportion of Multi-Listers\", fontsize=10)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "9eb38a1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x18fb75f70>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot figure 6(a)\n",
    "xxx=np.arange(0.1,6,0.0001) \n",
    "idx_1 = np.where(xxx >= 2)[0][0]\n",
    "xxx=xxx[:idx_1]\n",
    "x1=x1[:idx_1]\n",
    "x2=x2[:idx_1]\n",
    "x3=x3[:idx_1]\n",
    "\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::10], x1[::10], label=r'$x_A^*$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::10], x2[::10], label=r'$x_B^*$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::10], x3[::10], label=r'$x_R^*$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Optimum\", fontsize=13)\n",
    "plt.vlines((1.0-np.sqrt(c/(v-0.5*t))), 0, 0.5, 'black', ':')\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "e374b140",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1966858b0>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot figure 8(a)\n",
    "xxx=np.arange(0.1,6,0.0001) \n",
    "idx_1 = np.where(xxx >= 1)[0][0]\n",
    "xxx=xxx[:idx_1]\n",
    "PA=PA[:idx_1]\n",
    "PB=PB[:idx_1]\n",
    "PR=PR[:idx_1]\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::30], PA[::30], label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::30], PB[::30], label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::30], PR[::30], label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Socially Optimal Prices\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "98372b0d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#solve optimal solutions\n",
    "\n",
    "mu = 0.5\n",
    "\n",
    "v=1\n",
    "c=0.1\n",
    "t=1.2\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "\n",
    "\n",
    "def xm(lam):\n",
    "    a = 2.0*lam\n",
    "    b = -2.0*mu-lam\n",
    "    d = 1.0*mu-c/t\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def xs(lam):\n",
    "    a = 1.0*t*lam\n",
    "    b = -1.0*t*mu-v*lam\n",
    "    d = -1.0*c+v*mu\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def throughtput_eq(l):\n",
    "    if t<=v:\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    else:\n",
    "        return(2*xs(l)*l)\n",
    "\n",
    "def x1_eq(l):\n",
    "    if t<=v:\n",
    "        return(xm(l))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(xm(l))\n",
    "    else:\n",
    "        return(xs(l))\n",
    "    \n",
    "def x_opt(l):\n",
    "    def func2(x):\n",
    "        return t*(1-2.0*x)-c*mu/((mu-l*x)*(mu-l*x))\n",
    "    def func(x):\n",
    "        return np.sqrt(1.0*v-t*x)-np.sqrt(c*mu)/(mu-l*x)\n",
    "    if t<=v:\n",
    "        return(fsolve(func2,0)[0])\n",
    "    elif l<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t)))/(2-2*v/t):\n",
    "        return(fsolve(func2,0)[0])\n",
    "    else:\n",
    "        return(fsolve(func,0)[0])\n",
    "\n",
    "def x3_eq(lam):\n",
    "    if t<=v:\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    else:\n",
    "        return(0)\n",
    "# solve CUS optimal for different \\Lambda(arrival rate)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "xsum=[]\n",
    "eq_through=[]\n",
    "\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "\n",
    "a= 0.3\n",
    "b= 0.3\n",
    "cc=0\n",
    "\n",
    "xxx=np.arange(0.1,2,0.0001) \n",
    "#xxx is the list for different \\Lambda(arrival rate)\n",
    "#(step choose 0.00001 because I find only when step is small the solver can give continuous solution)\n",
    "# x1 stores all x1\n",
    "\n",
    "\n",
    "for i in xxx:\n",
    "    l=i #arrival rate is l\n",
    "    #define optimization problem here\n",
    "    def SW1(x):\n",
    "        return  -(v-0.5*t*x[0]-c*(1.0/(mu-l*x[0])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[0]-(v-0.5*t*x[1]-c*(1.0/(mu-l*x[1])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[1]-(v-t*(mu-l*x[0])/(2.0*mu-l*(x[0]+x[1]))-t*l*(x[0]-x[1])*(x[1]+0.5*x[2])/(2.0*mu-l*(x[0]+x[1]))-c*1.0/(2*mu-l*(x[0]+x[1]+x[2])))*l*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    #end define\n",
    "    #solve opt problem\n",
    "    res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "    x1.append(res.x[0]) #store current solution in the list x1\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1]) #store current solution in the list x2\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2]) #store current solution in the list x3\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    if i<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t))):\n",
    "        through.append(i)\n",
    "    else:\n",
    "        through.append(sum(res.x)*l)\n",
    "    eq_through.append(throughtput_eq(l))\n",
    "    xeq3.append(x3_eq(l))\n",
    "    xeq1.append(x1_eq(l))\n",
    "    PA.append(PriceA(a,b,cc,l))\n",
    "    PB.append(PriceB(a,b,cc,l))\n",
    "    PR.append(PriceR(a,b,cc,l))\n",
    "    if res.success == 'False':\n",
    "        print('False when arrival is')\n",
    "        print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "e67b323a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192ebcbf0>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot figure 6(b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::10], x1[::10], label=r'$x_A^*$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::10], x2[::10], label=r'$x_B^*$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::10], x3[::10], label=r'$x_R^*$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Optimum\", fontsize=13)\n",
    "plt.vlines((1.0-np.sqrt(c/(v-0.5*t))), 0, 0.4, 'black', ':')\n",
    "plt.vlines(1.5, 0, 0.4, 'black', ':')\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "cece7eae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x192e70200>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot figure 7(b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, xeq3, label=r'$q_R^{eq}$ (Equilibrium)',color='#619cff', linestyle=\"--\")\n",
    "plt.plot(xxx, x3, label=r'$x_R^*$ (Social Optimum)', color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Proportion of Multi-Listers\", fontsize=10)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "99293e2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#solve optimal solutions\n",
    "mu = 0.5\n",
    "\n",
    "v=1\n",
    "c=0.28\n",
    "t=0.8\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "\n",
    "\n",
    "def xm(lam):\n",
    "    a = 2.0*lam\n",
    "    b = -2.0*mu-lam\n",
    "    d = 1.0*mu-c/t\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def xs(lam):\n",
    "    a = 1.0*t*lam\n",
    "    b = -1.0*t*mu-v*lam\n",
    "    d = -1.0*c+v*mu\n",
    "    return(0.5*(-b-np.sqrt(b*b-4.0*a*d))/a)\n",
    "\n",
    "\n",
    "def throughtput_eq(l):\n",
    "    if t<=v:\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(min(l,2.0*mu-c/(v-0.5*t)))\n",
    "    else:\n",
    "        return(2*xs(l)*l)\n",
    "\n",
    "def x1_eq(l):\n",
    "    if t<=v:\n",
    "        return(xm(l))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(xm(l))\n",
    "    else:\n",
    "        return(xs(l))\n",
    "    \n",
    "def x_opt(l):\n",
    "    def func2(x):\n",
    "        return t*(1-2.0*x)-c*mu/((mu-l*x)*(mu-l*x))\n",
    "    def func(x):\n",
    "        return np.sqrt(1.0*v-t*x)-np.sqrt(c*mu)/(mu-l*x)\n",
    "    if t<=v:\n",
    "        return(fsolve(func2,0)[0])\n",
    "    elif l<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t)))/(2-2*v/t):\n",
    "        return(fsolve(func2,0)[0])\n",
    "    else:\n",
    "        return(fsolve(func,0)[0])\n",
    "\n",
    "def x3_eq(lam):\n",
    "    if t<=v:\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    elif l<=(2.0*mu-c/(v-0.5*t))/(2-2*v/t):\n",
    "        return(throughtput_eq(lam)/lam-2.0*xm(lam))\n",
    "    else:\n",
    "        return(0)\n",
    "# solve CUS optimal for different \\Lambda(arrival rate)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "xsum=[]\n",
    "eq_through=[]\n",
    "\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "cc=0.3\n",
    "\n",
    "xxx=np.arange(0.1,1,0.0001) \n",
    "#xxx is the list for different \\Lambda(arrival rate)\n",
    "#(step choose 0.00001 because I find only when step is small the solver can give continuous solution)\n",
    "# x1 stores all x1\n",
    "\n",
    "\n",
    "for i in xxx:\n",
    "    l=i #arrival rate is l\n",
    "    #define optimization problem here\n",
    "    def SW1(x):\n",
    "        return  -(v-0.5*t*x[0]-c*(1.0/(mu-l*x[0])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[0]-(v-0.5*t*x[1]-c*(1.0/(mu-l*x[1])+1.0/(2*mu-l*(x[0]+x[1]+x[2]))-1.0/(2*mu-l*(x[0]+x[1]))))*l*x[1]-(v-t*(mu-l*x[0])/(2.0*mu-l*(x[0]+x[1]))-t*l*(x[0]-x[1])*(x[1]+0.5*x[2])/(2.0*mu-l*(x[0]+x[1]))-c*1.0/(2*mu-l*(x[0]+x[1]+x[2])))*l*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    #end define\n",
    "    #solve opt problem\n",
    "    res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "    x1.append(res.x[0]) #store current solution in the list x1\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1]) #store current solution in the list x2\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2]) #store current solution in the list x3\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    if i<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t))):\n",
    "        through.append(i)\n",
    "    else:\n",
    "        through.append(sum(res.x)*l)\n",
    "    eq_through.append(throughtput_eq(l))\n",
    "    xeq3.append(x3_eq(l))\n",
    "    xeq1.append(x1_eq(l))\n",
    "    PA.append(PriceA(a,b,cc,l))\n",
    "    PB.append(PriceB(a,b,cc,l))\n",
    "    PR.append(PriceR(a,b,cc,l))\n",
    "    if res.success == 'False':\n",
    "        print('False when arrival is')\n",
    "        print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c98b42d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x199745f70>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::70], PA[::70], label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::70], PB[::70], label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::70], PR[::70], label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Socially Optimal Prices\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35d1a649",
   "metadata": {},
   "source": [
    "# Figure 9 Revenue-Maximizing Prices Under CUS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "45118876",
   "metadata": {},
   "outputs": [],
   "source": [
    "#parameters\n",
    "\n",
    "mu = 0.5\n",
    "\n",
    "v=1\n",
    "c=0.2\n",
    "t=0.6\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "xsum=[]\n",
    "eq_through=[]\n",
    "\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "cc=0.2\n",
    "\n",
    "xxx=np.arange(0.1,10,0.001) \n",
    "#xxx is the list for different \\Lambda(arrival rate)\n",
    "#(step choose 0.00001 because I find only when step is small the solver can give continuous solution)\n",
    "# x1 stores all x1\n",
    "\n",
    "\n",
    "for i in xxx:\n",
    "    l=i #arrival rate is l\n",
    "    #define optimization problem here\n",
    "    def SW1(x):\n",
    "        return  -PriceA(x[0], x[1], x[2],l)*x[0]-PriceB(x[0], x[1], x[2],l)*x[1]-PriceR(x[0], x[1], x[2],l)*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    #end define\n",
    "    #solve opt problem\n",
    "    res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "    x1.append(res.x[0]) #store current solution in the list x1\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1]) #store current solution in the list x2\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2]) #store current solution in the list x3\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    if i<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t))):\n",
    "        through.append(i)\n",
    "    else:\n",
    "        through.append(sum(res.x)*l)\n",
    "    #eq_through.append(throughtput_eq(l))\n",
    "    #xeq3.append(x3_eq(l))\n",
    "    #xeq1.append(x1_eq(l))\n",
    "    PA.append(PriceA(a,b,cc,l))\n",
    "    PB.append(PriceB(a,b,cc,l))\n",
    "    PR.append(PriceR(a,b,cc,l))\n",
    "    if res.success == 'False':\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "6a4d7106",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1998c3e60>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 9(a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::200], PA[::200], label=r'$P_A^{RM}$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::200], PB[::200], label=r'$P_B^{RM}$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::200], PR[::200], label=r'$P_R^{RM}$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\" Revenue-Maximizing Prices\", fontsize=13)\n",
    "plt.legend(frameon=False,loc='upper center')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "5668a86d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#parameters\n",
    "\n",
    "mu = 0.5\n",
    "\n",
    "v=1\n",
    "c=0.2\n",
    "t=1.1\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c/(mu-l*x1)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c/(mu-l*x2)-c/(2*mu-l*(x1+x2+x3))+c/(2*mu-l*(x1+x2))\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return v-t*0.5+t*l*(x1-x2)*(0.5-x2-x3)/(2*mu-l*(x1+x2))-c/(2*mu-l*(x1+x2+x3))\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "xsum=[]\n",
    "eq_through=[]\n",
    "\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PA=[]\n",
    "PB=[]\n",
    "PR=[]\n",
    "\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "cc=0.2\n",
    "\n",
    "xxx=np.arange(0.1,10,0.001) \n",
    "#xxx is the list for different \\Lambda(arrival rate)\n",
    "#(step choose 0.00001 because I find only when step is small the solver can give continuous solution)\n",
    "# x1 stores all x1\n",
    "\n",
    "\n",
    "for i in xxx:\n",
    "    l=i #arrival rate is l\n",
    "    #define optimization problem here\n",
    "    def SW1(x):\n",
    "        return  -PriceA(x[0], x[1], x[2],l)*x[0]-PriceB(x[0], x[1], x[2],l)*x[1]-PriceR(x[0], x[1], x[2],l)*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-l*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    #end define\n",
    "    #solve opt problem\n",
    "    res = minimize(SW1, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #starting point [a,b,cc] is the solution for pervious \\lambda\n",
    "    x1.append(res.x[0]) #store current solution in the list x1\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1]) #store current solution in the list x2\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2]) #store current solution in the list x3\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    if i<=(2.0*mu-np.sqrt(2*c*mu/(v-0.5*t))):\n",
    "        through.append(i)\n",
    "    else:\n",
    "        through.append(sum(res.x)*l)\n",
    "    #eq_through.append(throughtput_eq(l))\n",
    "    #xeq3.append(x3_eq(l))\n",
    "    #xeq1.append(x1_eq(l))\n",
    "    PA.append(PriceA(a,b,cc,l))\n",
    "    PB.append(PriceB(a,b,cc,l))\n",
    "    PR.append(PriceR(a,b,cc,l))\n",
    "    if res.success == 'False':\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "        \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "02b7b2dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1998c0dd0>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 9(b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::200], PA[::200], label=r'$P_A^{RM}$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::200], PB[::200], label=r'$P_B^{RM}$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::200], PR[::200], label=r'$P_R^{RM}$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\" Revenue-Maximizing Prices\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04a75925",
   "metadata": {},
   "source": [
    "# Figure 11 -12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "86aef8a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "#define throughput and social welfare as a function of parameters\n",
    "def CUS_t(Lambda, c, v, t,n):\n",
    "    if n%2==0:\n",
    "        x_s = (t/2 + Lambda*v*n - math.sqrt((t/2 + Lambda*v*n)**2 - 2*Lambda*n*t*(v-c*n)))/(2*Lambda*n*t)\n",
    "        Lambda_1 = 1-c /(v-t/4)\n",
    "        Lambda_2 = 2*t*(1-c/(v-t/4))/(t*n**2-4*v*n*(n-1))\n",
    "    \n",
    "        if Lambda < Lambda_1:\n",
    "            return Lambda\n",
    "        elif (Lambda_1 <= Lambda and t <= 4*(n-1)/n*v) or (Lambda_1 <= Lambda < Lambda_2 and t > 4*(n-1)/n*v):\n",
    "            return 1 - c/(v - t/4)\n",
    "        else:\n",
    "            return 2 * n*Lambda * x_s\n",
    "    else:\n",
    "        Lambda_1 = 1-c /(v-t/4*(1+1/n/n))\n",
    "        Lambda_2 = 1-c*n /(v-t/2.0/n)\n",
    "        x_AR=(2*t+ Lambda*t+Lambda*t*n-math.sqrt((2*t+ Lambda*t+Lambda*t*n)**2 - 8*Lambda*t*((n+1)*v-4*c*n**2)))/(8*Lambda*n*t)\n",
    "        x_R0=(2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25)-math.sqrt((2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25))**2 - 8*Lambda*t*(4*n*n*(v-c)-(n*n-1)*t)))/(8*Lambda*n*t)\n",
    "        x_A0=(t+ 2*Lambda*n*v-math.sqrt((t+ 2*Lambda*n*v)**2 - 8*Lambda*n*t*(v-n*c)))/(4*Lambda*n*t)\n",
    "        if (Lambda_1 >= Lambda and t <= 4*n/(n+1)*v):\n",
    "            return Lambda\n",
    "        elif (Lambda_2 >= Lambda and t > 4*n/(n+1)*v):\n",
    "            return Lambda\n",
    "        elif (Lambda_1 < Lambda and t <= 4*n/(n+1)*v):\n",
    "            return 2 * n*Lambda * x_R0\n",
    "        else:\n",
    "            return 2 * n*Lambda * x_A0\n",
    "        \n",
    "    \n",
    "def CUS_SW(Lambda,n):\n",
    "    if n%2==0:\n",
    "        x_s = (t/2 + Lambda*v*n - math.sqrt((t/2 + Lambda*v*n)**2 - 2*Lambda*n*t*(v-c*n)))/(2*Lambda*n*t)\n",
    "        x_m = (2*t + Lambda*t*n - math.sqrt((2*t + Lambda*n*t)**2 - 8*Lambda*n*t*(t-4*c*(n-1))))/(8*Lambda*n*t)\n",
    "        Lambda_1 = 1-c /(v-t/4)\n",
    "        Lambda_2 = 2*t*(1-c/(v-t/4))/(t*n**2-4*v*n*(n-1))\n",
    "        if Lambda < Lambda_1:\n",
    "            return Lambda*(v-t/4-c/(1-Lambda)+n*t*x_m**2)\n",
    "        elif (Lambda_1 <= Lambda and t <= 4*(n-1)/n*v) or (Lambda_1 <= Lambda < Lambda_2 and t > 4*(n-1)/n*v):\n",
    "            return n*Lambda*t*x_m**2\n",
    "        else:\n",
    "            return n*Lambda *t* x_s**2\n",
    "    else:\n",
    "        Lambda_1 = 1-c /(v-t/4*(1+1/n/n))\n",
    "        x_AR=(2*t+ Lambda*t+Lambda*t*n-math.sqrt((2*t+ Lambda*t+Lambda*t*n)**2 - 8*Lambda*t*((n+1)*v-4*c*n**2)))/(8*Lambda*n*t)\n",
    "        x_R0=(2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25)-math.sqrt((2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25))**2 - 8*Lambda*t*(4*n*n*(v-c)-(n*n-1)*t)))/(8*Lambda*n*t)\n",
    "        x_A0=(t+ 2*Lambda*n*v-math.sqrt((t+ 2*Lambda*n*v)**2 - 8*Lambda*n*t*(v-n*c)))/(4*Lambda*n*t)\n",
    "        if (Lambda_1 >= Lambda and t <= 4*n/(n+1)*v):\n",
    "            return Lambda*(v-t/4-c/(1-Lambda)+(n-1)*t*x_AR**2)\n",
    "        elif (Lambda_1 < Lambda and t <= 4*n/(n+1)*v):\n",
    "            return t*Lambda * x_R0**2+ (n-1)*Lambda*t * x_AR**2\n",
    "        else:\n",
    "            return n*Lambda * t*x_A0**2\n",
    "        \n",
    "def single_t(Lambda, c, v, t,n):\n",
    "    x_s = (t/2 + Lambda*v*n - math.sqrt((t/2 + Lambda*v*n)**2 - 2*Lambda*n*t*(v-c*n)))/(2*Lambda*n*t)\n",
    "    Lambda_1 = 1-c*n /(v-t/2/n)\n",
    "    if Lambda < Lambda_1:\n",
    "        return Lambda\n",
    "    else:\n",
    "        return 2 * n*Lambda * x_s\n",
    "def single_SW(Lambda, c, v, t,n):\n",
    "    x_s = (t/2 + Lambda*v*n - math.sqrt((t/2 + Lambda*v*n)**2 - 2*Lambda*n*t*(v-c*n)))/(2*Lambda*n*t)\n",
    "    Lambda_1 = 1-c*n /(v-t/2/n)\n",
    "    if Lambda < Lambda_1:\n",
    "        return Lambda*(v-t/4/n-n*c/(1-Lambda))\n",
    "    else:\n",
    "        return n*Lambda *t* x_s**2   \n",
    "def pool_t(Lambda, c, v, t,n):\n",
    "    if n%2==0:\n",
    "        if Lambda<=1-c/(v-t/4):\n",
    "            return Lambda\n",
    "        else:\n",
    "            return 1-c/(v-t/4)\n",
    "    else:\n",
    "        x_R0=(2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25)-math.sqrt((2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25))**2 - 8*Lambda*t*(4*n*n*(v-c)-(n*n-1)*t)))/(8*Lambda*n*t)\n",
    "        if Lambda < 1-c/(v-t/4*(1+1/n/n)):\n",
    "            return Lambda\n",
    "        else:\n",
    "            return 2*Lambda*n*x_R0\n",
    "        \n",
    "def pool_SW(Lambda, c, v, t,n):\n",
    "    if n%2==0:\n",
    "        if Lambda<=1-c/(v-t/4):\n",
    "            return Lambda*(v-t/4-c/(1-Lambda))\n",
    "        else:\n",
    "            return 0\n",
    "    else:\n",
    "        x_R0=(2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25)-math.sqrt((2*t+ Lambda*t+4*Lambda*n*n*(v-t*0.25))**2 - 8*Lambda*t*(4*n*n*(v-c)-(n*n-1)*t)))/(8*Lambda*n*t)\n",
    "        if Lambda < 1-c/(v-t/4*(1+1/n/n)):\n",
    "            return Lambda*(v-t/4-c/(1-Lambda))\n",
    "        else:\n",
    "            return t*Lambda*x_R0**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "5679bdd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1997bd250>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 11(a)\n",
    "t=2.1\n",
    "v=0.7\n",
    "c=0.1\n",
    "n=4\n",
    "x1 = np.arange(0.001, 1.5, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "for i in x1:\n",
    "    y.append(CUS_SW(i,n))\n",
    "    y_s.append(single_SW(i,c, v,t,n))\n",
    "    y_p.append(pool_SW(i, c,v,t,n))\n",
    "plt.figure(figsize=(4, 2.5))      \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "fa6b8da6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x199bb39b0>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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cWaO5AACgYHK1MthIJsm/drXRvMxULClVKGEub9NBc1kAAAAApBIlcvaE3eXiFE0AAAAA+Qu/pRRhN910k8qXLy/p3FUaAQAAAAAACqt9J6Q/tpnPHdBSKlfcfG5h41+2SP7NGx3JdtWsLUVEOpINAAAKFlfFSrKqVjeW59+xVfbZM8bysmJyKtnmQ+ayAAAAAEhutztHx0VG8tolCi+v1yuv1yu/3x/sUgAAAJANIcEuAMETGhqqcePG6eWXX6aRDAAAAAAAFFq2LU1fdu6/JpWLlPo3N5tZGPmPHJb3+/85E16mrEKuu4nXtgAAQCpXq7byHTpgJszvl3/DWrk7dzOTl4Wm1aTft5rJij4lnU6QSoabyQMAAACKuvj4+Gwf43K58rSRzLZtbdq0SStWrNCKFSu0fv16HT9+XCdPntTJkycVEhKiEiVKqESJEqpRo4YaNmyoxo0bq2vXrmrTpk2Bnp529uxZrVy5MvWxR0VFpT7uM2fOKDIyUiVKlFDp0qVVv359NWzYUM2bN1evXr1UtWrVYJdfoJw+fVqffPKJJk+erM2bN0uSRo8erY8++ihP9o+JidH777+v//73v9q/f78kaerUqRozZky2s9auXau5c+fqt99+044dO3T06FF5vV6VLl1a1apVU4cOHdSrVy9dc801CgsLM/xIzPL5fFq1apWWLl2qVatWadeuXdq3b59iY2MVHx8vl8ulMmXKqHTp0ipTpowaNGig9u3bq3379mrZsmW+f3wAAMAsGsmKuLvuukuvvvqqbNuWZVmyTZ9RBQAAAAAAEGSr9khbo83n3thBCuPVtUzZ3hR5v/hYSkkxH25Z8gwbJSucs6MBAMBf3C3byDdntrGrCPjWrsqzRrLGVSTLMncBhB1HpLa1zWQBAAAARd2xY8eyfUz16tVzPMksO9avX6/PPvtMX3zxRWpjTXpSUlKUkJCgo0ePKioqSr///nvqfeXKlVP//v01duxY9e7du0BcvCs5OVk//vijPvvsM33//fdKTEzMcO3p06d1+vRpHTx4UJs2bUpzX9OmTXXdddfp9ttvV61atZwuu8Bau3atJk+erM8++0xxcXF5vv+GDRs0adIkffbZZ0pISMhxjt/v1+eff67//Oc/WrZsWbprDh8+rMOHD2vVqlWaPHmyypYtq/vuu08PP/ywwvPZexLLli3T+++/r9mzZ2f579T5xyVJS5Ys0ccffyzp3OTEwYMHa8yYMerZs2eB+P4HAAC5U3AvIQEjatWqpauuuooGMgAAAAAAUCgle6WvlpvPbVBJal/HfG5h4/vpe9nRBx3JdvfqL1ftuo5kAwCAgssqXUaWwecI9p5dsk/GGMvLTESYVLeCubxth81lAQAAAEWZ1+tVdHT2r1ZWt66zr1/OmzdPnTp1UsuWLfXyyy9n2kSWlRMnTujzzz9X37591aBBA7399tvyer0GqzUnLi5OL730kqpWrarrr79eM2bMyLSJLCubNm3SCy+8oLp162rgwIFavtyBNxUKqMTERH3yySfq3LmzWrdurffeey9Pm8j8fr9mzpypXr16qUWLFpoyZUqumsgWLFigtm3b6pZbbsmwiSw9MTExevrpp9W4cWOtWrUqx/ub9Msvv6hTp07q1KmTPvjggwybyFwulzweT6ZZcXFxmjZtmnr37q26detq6tSp8vv9TpQNAADyCRrJoHvuuSfYJQAAAAAAADhi7kbp+FmzmZak4Z3OTYtAxvzbt8i38DdHsq2ateXu3d+RbAAAUPC5W7Uzmudbt9poXmaaVjOXtZ1GMgAAAMCITZs2yefzZfu4tm3bOlCNtGjRIl1++eXq379/tpphArVz507dc889atasmb7//nvj+Tnl8/n0+uuvq06dOnr00Ud14sQJo/l+v18//vijOnXqpOHDh2vfvn1G8wuSnTt3auLEiapevbpGjx6tpUuX5un+p06d0muvvaZ69erp+uuv12+/5e69hsTERN1111264oortHbt2hzn7N27V1dccYXmzJmTq3pyIzo6WoMGDVKfPn3S/f4PDw/XiBEjNHv2bO3bt09JSUlKTk7WiRMn9PPPP+u+++5TqVKlMszfs2ePxo0bp/bt22vhwoVOPhQAABBEIcEuAMF35ZVXql69etq1a5csy8r2dLKCPsaWaWwAAAAAABROJ+OkH9aZz+3WUKpV3nxuYWKfPaOUrz5zJjwsTJ7ho2W53c7kAwCAAs/VvJU062vJ0NWz/WtXST36GMnKSqMq0uw1ZrL2n5Dik85NOgMAAACQczltounatavROlJSUvTkk0/q5ZdfznBakGVZuuKKK9SrVy+1atVKFSpUkG3bOnnypLZs2aJFixZp3rx5AU2V2rZtm6655hqNHTtWb731liIjI40+nuyIiorSzTffnOnnolSpUho0aJC6dOmievXqqUyZMoqPj1d0dLTWr1+vuXPnBjRNyrZtTZ8+XXPmzNE777yjYcOGmXwo+ZbP59P333+vt99+W/Pnzw/KeZWbN2/WW2+9pWnTphmbfLZt2zbdeOON2rBhg5G8uLg43XTTTVq8eLGaN29uJDNQ33//vcaMGZNhE2X//v01efJk1alT55L7ypYtq969e6t379566qmn9PDDD+uDDz7IcK/Vq1ere/fu2a7R5XIpNDRUNWrU0IwZM9SiRYtsZwAAAOfRSAZJ0p133qmJEydm2RQWaNNYfm/OuvBxXPj/+b1uAAAAAAAQuBkrpGSv2cxwjzTYmYvIFhq2bcs74wvpzGlH8kOuu0lW2XKOZAMAgMLBioyUq0Fj+bduMpJnRx+U/0i0XJWqGMnLTN0KUohL8hrogbMl7TgitayZ+ywAKCy8C3+Tb9EfwS4DDnF3vUIh3Xrm+b4mv648w0fLVevSk7+dlvLZR/Lv35Pn+zohWF8HKNx++OGHbB8TGhqqHj16GKthx44dGjZsmFavTn9iclhYmMaPH68HH3xQtWrVSnfNgAED9OCDDyouLk4ffPCB/vWvf+nw4axHGU+dOlWLFi3SrFmz1KhRo1w9jpz4+OOPNWHCBJ09ezbd+2vXrq0nn3xSw4cPV7FixdJdM3ToUL3wwgvatm2bXnnlFU2dOjXDZrzzYmNjNXz4cP3888+aPHmyPB5Prh9LfhQdHa0pU6bovffe04EDB/J8//OT4CZNmqT58+cbzV6wYIGuvfZanTp1ymju2bNndf3112vDhg0KDw83mp2RSZMm6YEHHsjw6/ahhx7SK6+8ElBW2bJlNWXKFHXo0EF33XVXlt8L2eH3+5WYmKgdO3bozTffzLRZDQAABA+NZJAkjRs3Tv/4xz+UlJSU4VSy8w1XF9/n8XhUokQJRUZGKiwsTGFhYQoJCZHH45Hb7ZbL5ZLb7ZZlWal/8ppt2/L7/fJ6vUpOTlZCQoJiY2N17NgxpaSkpD6+nExkAwAAAAAA+c/OI9KSKPO5g1pLJfPmPcECy798ifxbNjqS7WrVVu427R3JBgAAhYurVVtjjWSS5F+7Wq7+A43lZSQ0RKpT4VwDmAnbD9NIBgBpJCZIJ2OCXQWckpgQvH1NfV15DV8VKUD22dOF53sjWF8HKLROnjypn3/+OdvH9evXT2XKlDFSw/r169WnTx8dO3Ys3fvbt2+vL774QvXq1QsoLzIyUvfdd59Gjx6t+++/Xx999FGWx2zfvl3dunXTjz/+qPbt8+412hdffFGPPfZYuvdZlqWJEyfqueeeU2hoaEB5DRs21JQpU3THHXfo5ptv1vbt27M85oMPPtChQ4c0Y8YMRUREZKv+/GzBggX6z3/+o5kzZ6aeQ5mXTp8+rQ8//FD/+c9/FBVl/g2db775RiNHjlRSUpLxbOnclLyXX35ZTz31lCP5F/rnP/+p//u//8vw/vvvvz/gJrILjR8/XsnJybr33ntzU16GgtGYCAAAAkMjGSRJZcqU0dChQ/Xxxx9f0uh1YQNZZGSkRo4cqQEDBqhp06aqUqVKgf7lyLZtrV27Vh9//LHee++9TBvpAAAAAABAweC3pS+Wms+tVErq3cR8bmFinzgm7/ffOhNepqxCrrvJmWwAAFDouJo0lzweydDJcL61K+XuNyBPLpjYoLK5RrJtWQ8XAAAAAJCJDz74QAkJ2W9QHDt2rJH9V69erX79+unEiRPp3j906FB98sknATdSXahUqVKaOnWq2rZtq/vuuy/Lc+aOHz+uXr166ccff1S3bt2yvV92Pfvssxk26YSEhGj69OkaMmRIjrLbt2+v5cuX64YbbgioUXDOnDnq27ev5s2bp8jIyBztmd98+OGH+vrrr4Oyd3x8vGrXrq2TJ086kv/VV19pxIgR8vl8juSf99JLL2n8+PGqUsW5CeZvv/12pk1kzZs318svv5zj/AkTJmjRokWaPn16jjMywnm4AADkX65gF4D845577rnktgubqq644grt2LFD77zzjgYNGqR69eoV6CYy6dzja926td544w1t3rxZLVu2lG3bQZmaBgAAAAAAzFiyU9p93Hzu8I5SiNt8bmFh+/1K+fJTKTnZfLhlyTNslKxwxsEBAIDAWGFh55rJTIk5IfvAPnN5mWhY2VzW3uNSYt5fWB4AAAAoFM6ePZujKT+XXXaZrrvuulzvv2XLFvXu3TvDJrJ+/fpp2rRpOWoiu9CECRP07rvvBrT27Nmzuvbaa7Vly5Zc7ZmVF198MdNJT1OmTMlxE9l5pUqV0nfffafevXsHtH7x4sUaNmyY481JeeXWW29V6dKlNXz4cL3//vuaP39+6pSy2rVrO7p3RESEevXqJenchLxOnTpp2LBhGjhwoCpVqpSr7NmzZ2vkyJGXfJ5CQkLUr18/TZo0SUuWLNHhw4eVlJSk48ePa8OGDfrPf/6jzp07Z2uvhIQETZ48OVf1ZuaPP/7Q3/72t0zXTJkyRR6PJ1f7/Pe//1X58uVzlZGe3H4uAQCAc2gkQ6p27dqpffv2qY1UFzZT1a9fX3PmzFHlygbfucpnateurV9//VX169cPdikAAAAAACCHEpKlGSvM57aoLrWoYT63MPH98bPsvbsdyXb37i9X7bqOZAMAgMLL1aqt0Tz/mpVG8zJSr6LkMnTNQ58tRR01kwUAAAAUNc8++6yOHs3+E+qnnnpKLlfuTs2Mi4vTDTfcoFOnTqV7f/ny5fXpp5/muoHkvNtvv10PP/xwQGtPnjypAQMG6MgRQ6OUL/LLL79kOoFp1KhRGj16tJG9ihUrpm+++UYNGjQIaP3333+vCRMmGNk72Lp166Zjx47p888/12233aY+ffqoW7duuueee7RmzRrHm8mefPJJzZ49W8ePH9eSJUv0xRdf6Pvvv9fu3bvTHYoQiN9++0033XSTvF5v6m0lSpTQI488ogMHDmju3Lm699571alTJ1WqVEmhoaEqV66cmjVrpnvuuUeLFy/W+++/n60BC++++66SkpJyVG9mTp06pWHDhqV5LBfr1KmTOnTokOu9ypYtq8cffzzXOdK54Q7h4eFq0KCB7rjjDiOZAADAPBrJkMbdd9+d5uPzTWX/93//p2LFigWpqrxTunRpvf7664zUBQAAAACggPphnRSbYDbTbUlDO5rNLGz8B/fLN+9HR7KtWnXk7tXfkWwAAFC4uRo0lsIDP/krK771a2T7/cbyMhIeKtUqZy5v22FzWQAAAEBRsXDhQr322mvZPq579+4aOXJkrve/8847tXnz5gzvf+ONN1ShQoVc73Ohf/3rXwFPZNqzZ49GjRpl/Dy7Q4cOacSIEfJn8LtXxYoV9cYbbxjds1SpUvr6668Dbsp755139PnnnxutIVhCQkLSvb106dJ69NFHHd27RYsWuuaaay45LzU8PFyTJk1SkyZNspW3fft2DRkyJE1T18iRI7Vz5069+OKLAU/Huu222/TZZ58FvO/Ro0f166+/ZqvWQDz00EM6fDjzX+jHjBljbL+77747oKlknTt3ls/nk23b6f7x+/2Kj4/Xtm3bdPnllxurDwAAmEUjGdIYNmyYypYte8ntffv2DUI1wTFw4EA1bdo02GUAAAAAAIBsOnpamrfRfG7vplKV0uZzCws7JUXe6dMkJ06qDismz7BRstxu89kAAKDQs0JC5GrW0lzgmdOyd+0wl5eJBpXNZW2nkQwAAADIlj179mjIkCEZNjNlpHjx4nr//fdzvf9HH32kTz/9NMP7mzVrphEjRuR6n4u5XC5NnTo14AvOz5s3T6+//rrRGkaOHJnpFLiJEyeqTJkyRveUzjU1ZTYF7WJ33XWXdu/ebbyO/OSaa64J2t4ul0tjx44NeH1MTIyuvvpqnTx5UpJUpkwZzZ49W59++qkqVqyY7f2vu+66S4YyZGbu3LnZ3iMzmzdv1tSpU7Ncd/311xvbMywsTLfddluW65YsWaLJkycb2xcAAAQHjWRIIywsTGPHjr3kSiGBXo2hsBg0aBBTyQAAAAAAKGC+XC55DfcylSgmDWplNrOw8f30neyjzpydHHL9TbLKGhzHAQAAihx367ZG83xrVxnNy0jDKuaydh2TUrzm8gAAAIDCbO/everVq5eOHTuW7WOnTJmiBg0a5Gr/06dP65FHHsl0zeOPPy7LsnK1T0YaNmyYrYaqJ554wlhD1fTp0/X7779neH/ZsmV15513GtkrPY8//rgaN24c0NrTp0/rrrvucqyW/KBq1aoqVy54r89fccUVAa998skntWPHuQu/tGjRQmvWrMl1I9w//vGPDCe2XWzx4sW52utiL7zwQpaNrFWrVs1Rk1xmhg8fHtC6xx57TLGxsUb3BgAAeYtGMlzi7rvvvuQXzcTExCBVExy9evUKdgkAAAAAACAbNh2U1uw1nzu4rRQRZj63sPBHbZfvz98dyXa1bid363aOZAMAgKLDqlNfKlnKWJ5/wzrZ3hRjeRm5rJJk6rRQr+9cMxkAAACAzK1YsUJdu3bNUWPUCy+8oKFDh+a6hueeey7TiVzlypXTjTfemOt9MvP3v/9dlSsHNiY5ISFB9913X673TEhIyLKB7uabb1bx4sVzvVdGPB6Pnn/++YDXz507V998841j9eQHNWrUCNrel112WcBr4+LiJJ1rPluwYIFq1aqV6/0rV66sK6+8MqC1W7ZsyfV+58XExAT0ddW6dWtje57XokUL1atXL8t1Z86c0bRp04zvDwAA8g6NZLhEnTp11L9//zQTufbv3x/EivJew4YNg10CAAAAAAAIkM8vTV9qPrdmWalb7i4eW6jZCQlK+fIzZ8LLllPIdc6eDAEAAIoGy+WSu4XBk6sSE+TfZu4EsYxEhknVyprL2+7MAFkAAACgUPB6vfrXv/6lbt266eDBg9k+/vHHH9fjjz+e6zp27typSZMmZbrm+uuvD3hKUk5FREToiSeeCHj9999/r99++y1Xe77yyivat29fpmtuuummXO0RiMGDB6t9+/YBr3/44Yfl9RbeEdAVKlQI2t6lS5eWx+MJeH3fvn01d+5clSpl7mIyAwYMCGjd2bNndeDAASN7fvPNN0pKSspynVPnuPbo0SOgde+++64j+wMAgLxBIxnSdc8996T5eNOmTUGqJDiqV6+u0NDQYJcBAAAAAAAC8PtW6eAp87nDO0kuXj3LkHf2DCn2pPlgl0ueYaNkFQs3nw0AAIokl6kpp6XKyH1Fb7kqVTGTl4WGgQ0ACAiNZAAAACisoqOjNWfOnBw1gMXHx+vDDz9Uo0aN9PjjjwfUvHEht9utyZMn64UXXsj23ul5/vnnlZycnOmaG264wcheWRk3bpzKlCkT8Ppnnnkmx3udPn1ar776aqZrqlSpoi5duuR4j+x48MEHA167a9cuffrppw5WE1wmm7JyonTp0gGt69atm2bOnKmwsDCj+2fna+7wYTO/eM+fPz+gdU59bgJ9zBs3btSuXbscqQEAADjP2UtToMAaMGCAateurT179kiSFi1apMGDBwe3qDxWokQJxcTEBLsMAAAAAACQibOJ0sxV5nPb15Ea5s35wQWSb/0a+VevcCTb3au/XLXqOJINAACKJqtaDVnlKsg+cSz7B0dEytWitdyt2sqqVUdWHl5poGFl6ZfNZrJ2HpW8fimECyUAAACgkNm+fXvq1KCyZcuqUaNGatCggerVq6eqVauqcuXKKlWqlMLDw5WUlKQTJ05o27Zt+vPPP/XLL7/ozJkzOdq3bt26+uijj9StWzcjj+Po0aOaPn16pmtcLpc6d+5sZL+shIeHa8yYMXr99dcDWv/HH39oyZIlOapv6tSpWX4eunbtKsuysp2dE4MHD1alSpV05MiRgNa/+OKLGjNmjLNFBUmJEiWCun9kZKSOHcv6d/lx48YpIiLC+P5NmjSR2+2Wz+fLcm0gdQZi8eLFAa1z6nPTtGnTgNcuW7ZMdevWdaQOAADgLBrJkC7LsnTHHXfosccek23bmjNnjl577bVgl5WnwsPDZdt2nv0CCgAAAAAAsm/WGiku8wu0ZpvHLd3Y3mxmYWKfjpX3f186km3VqCV3r36OZAMAgKLLsiy5WrWV75efAjsgNFSupi3katVWrssayXK7nS0wA5cZnEiW5JX2HpfqVTSXCQAAAOQ3MTExWrx4ccCNGDlRrFgx3XvvvXrqqacUGRlpLPedd97JciJao0aNVLJkSWN7ZuXOO+8MuJFMkt57771sN5L5/X699dZbWa7r0KFDtnJzw+PxaNy4cfrXv/4V0Ppt27bpjz/+0BVXXOFwZXkvPDw8qPsXK1YsqPt7PB7VrFlTu3fvznLt8ePHc73f2bNnA56u6FQjWaNGjQJeu2zZMg0fPtyROgAAgLO45hwydNttt6lt27Z68MEHNWnSpGCXk+eWLl2q3bt3M34XAAAAAIB86kCM9NsW87lXtZDKB/cim/mWbdvyzvhCio83H+7xKGToLUE7URsAABRurlZtM1/gdsvVpLlCRoxR6D/+Kc+wUXI3ahrU5yalwqUqpczlbT9sLgsAAAAoakqXLq377rtPO3fu1Msvv2y0iSwlJUWTJ0/Ocl27du2M7RmIBg0aqHnz5gGv//rrr7M94e2HH35QVFRUluvy+rHfcMMN2Vr/wQcfOFRJcIWGhgZ1/7CwsKDuL0lVq1YNaF1CQkKu99q/f3+uM3KrVKlSAf/7xrm1AAAUXEwkQ4bKlSunFStWBLuMoAn0FwAAAAAAAJD3bFv6cpnkt83mlomUrgr8ffEix79skfzbNjuSHTLwOrkqMCIDAAA4w1Wxkqyq1WUfOvDXjZYlq+5lcrdqK1ezlrIiIoJXYAYaVJaiY81kbT987qIJAAAAQGHSunVr/f3vf9fKlSu1cuVKrV27VnFxcUayS5curb59++raa6/V4MGDHZvO9PPPP+vw4ayv/FCnTh1H9s/Mddddpw0bNgS0Ni4uTvPmzdOQIUMCzv/0008DWpfXj71NmzaqWbOm9u3bF9D67777Tl6vVyEhheuU3GA3knk8nqDuL507jzYQWU0UDMTp06cDXmtiv4xUqlQpoCaxkydPOlYDAABwVuF61gpkIjY2Vo899pgSExNTbxsyZIgGDhwYxKoAAAAAAEBObDggbTpkPvfG9lJY8N+XzJf8x4/K+/1MR7KtBo3k6nS5I9kAAADnuVq1le/QAVnVa8rVqq3cLdvIKmlw5JcDGlSW/thmJmv7Ecnvl1wuM3kAAABAflCyZEndfPPNuvnmmyVJfr9fe/fu/X/s3Xd4VHXaxvH7zKQSIPTee5MOglgQFQUBBRVcG+rasffVtcC6smsFXcX6il1AqoJgowmC0gUEQmhKCQTS+8yc9w+WLIGUmeQ3Jcn3c1251sw8c59ncHAnmfOcR9u2bdO2bdsUHx+v/fv368CBA0pISFB6eroyMzOVk5OjsLAwRUdHq0qVKmrQoIGaNGmiFi1aqHv37urRo4fOOOOMgAwGzZ0716u6pk2b+rmT0w0fPlz/+Mc/vK6fP3++14Nkubm5WrhwYYl1DodDjRs39roHU4YNG6Y333zTq9rk5GStXLlS5557rp+7CixnELd0SwqJwbzq1at7VZebm1vmY7lcLq9r09PTy3y8osTGeve7EgbJAAAov4L/LgsIkNjYWF1++eW6/PLL86/G8NFHH+mpp57SM888E+TuAAAAAACAt1ye49vITGtTXzqzlfncisB2u+X64mMpr+wfhJ6mShWFX3WtLMsynw0AAHASZ+9+cnbuKqtO3WC34rX2DcxlZeVKfyZJzby7mDoAAABQLjkcDrVs2VItW7bUkCFDgt1OiWzb1rx587yqDcYgWY8ePRQTE+P1lrcffvjB6+zFixd7tYGpfv36QdlMdfbZZ3s9SCYdf+4MklWs40veb2XzZQisKN4OcEnS4cOHy3y8okRGRnpV58+taAAAwL+43hwqlcGDB2vWrFn5P1h6PB5NmDBBw4cPN7bSHAAAAAAA+NfSbdLBFLOZlqRr+knMMhXOveR72X/s9Ut22MgxIb8JBAAAVAxWTEy5GiKTpFpVpTrVzOVtP2QuCwAAAEDZrVmzRgcPHvSqtmbNmn7u5nRhYWHq06eP1/X79u3TkSNHvKr1doAuGM9bks466yyf6tesWeOnToIn2BeAc4TASm1vhxht2y7zsXx5rR84cKDMxyuKt5vgqlat6rceAACAf7GRDJXOJZdcos8++0xjxoyRx+ORbdtasGCBBg4cqAULFqhu3fL1ASIAAAAAAJVJRo40d5353AHtpBZ1zOdWBJ4/98n9/Td+yXb06C1n1x5+yQYAAKgo2jeQEtPMZO04JF3U2UwWAJRLUdFSzVrB7gL+EhUdvOOael15eeK2aVbV6rIryt+NYL0OgFL6+eefva6NioryYydF69evn5YsWeJ1/dq1a3XJJZeUWOftcw/W827evLkaNGigQ4e8uyLH2rVr/dxR4AV7kCvYg2yB1rBhQ1WtWlXp6ekl1u7YscNvfXhzfElq0MDgGnUAABBQDJKhUho1apTefvtt3XLLLbIsS7Zta+3atRowYIC+++47NW/ePNgtAgAAAACAQny9QUrPMZsZFS5d0ctsZkVh5+XK9cXHksdjPjy2hsIuu9J8LgAAQAXTroG0Is5M1vZDkm2ziRdA5RV2zvkKO+f8YLeBCqYivK7Cr70x2C0AldaGDRu8ro2ODs6gZMeOHX2qj4+PL7HG5XJp69atXuUF63lLx5+7t4NkCQkJSk9PZ0uTQZVtkMzhcKh79+766aefSqzdvn273G63nE6n8T5SU1O9qmvfvr3xYwMAgMAI/t5XIEhuvvlmPfnkk7JtO/8Hjp07d2rQoEF+XfsLAAAAAABKJyFV+t67z5V9Mry7FFvFfG5F4P7mK9lHEvySHT76WlnR/MEDAACUpL3BC3ynZ0sHU8zlAQAAACibjRs3el0bGRnpx06K5uuwyN69e0us+f3335WT491V44L1vCXfn/u+ffv81Akqi7POOsuruoyMDG3atMkvPaSlebcWvV+/fn45PgAA8D8GyVCpTZgwQQMHDiwwTLZ7925deOGFSkxMDHJ3AAAAAADgZF/+KrkNL8aqV126sLPZzIrCE7dd7hVL/ZLtPHugHG24UiUAAIA36laTahicv99+0FwWAAAAgNLzeDzasmWL1/V5eXl+7KZovg5TebPB67fffvM6L1jPW/LPcweKM3r0aK9rly41/xlOenq6V+fOOhwOXXDBBcaPDwAAAoNBMlRqlmXpqaeeKvC9JG3btk2jRo2S2+0OVmsAAAAAAOAk2w9Ka/eYz736TCncaT63vLMzM5U341O/ZFv16st5yTC/ZAMAAFREliW1M7iVbAfnNQIAAAAhISUlxeutXJKUm5vrx26KVqNGDVWp4v3VLTIyMkqsSUhI8DovWM9bkho1auRTvTfPHShOr1691KFDB69q586da/z4GzdulG3bJdZddNFFqlu3rvHjAwCAwGCQDJVenz598v/55M1kK1as0IMPPhistgAAAAAAwH95bOmL1eZzOzWSujU1n1sRuObOkFKSzQc7HAq7+gZZ4RHmswEAACqw9oYHybw4JwwAAACAn6WkpPhU78vQmWm+DIxkZmaWWOPLcw/m865Xr55P9d48d6AkDz/8sFd1y5cv1/79+40ee+PGjV7V3XnnnUaPCwAAAotBMlR6p14F5MQwmW3b+s9//qNvv/02SJ0BAAAAAABJ+nmntPeo2UzLOr6N7L/Xk8FJ3BvXybNhrV+ynRcNkaMx03sAAAC+MrmRLClTOpJmLg8AAABA6SQnJ/tUf+zYMf804gVfBqrCw8NLrPHluZeX5y1599yBkowdO1Zt27Ytsc7tduutt94yeuwFCxaUWNOrVy+NGDHC6HEBAEBgMUiGSu+TTz4p9PYTw2Tjxo0L6lVNAAAAAACozHLypJlrzOee205qUst8bnlnp6bINXu6X7KtZi3kPO9Cv2QDAABUdI1qSFWjzOVtP2QuCwAAAEDppKen+1SfmJjop05KVquW979Qj42NLbHGl+deXp635N1zB0oSFhamyZMne1X7xhtvKCkpychxExIStGjRomJrHA6HXnvtNVlcqREAgHKNQTJUWjk5OXrzzTf11FNPnfam1rbt/H/etWuXXn/99UC3BwAAAAAAJH3zm5ScaTYzKly6vJfZzIrAtm25Zn0hZRn+A5ekiAiFj7leltNpPhsAAKASsCypvcGtZDsYJAMAAACCztftVUeOHPFTJyWLjIz0utabYSpfnntmZqYyMjK8rjfJl+ctMUgGc4YMGaJ77rmnxLqkpCSNHz/eyDHfeecduVyuYmsefPBBnXXWWUaOBwAAgics2A2g/EtLS1NqaqrS09OVnZ2tnJwcud1uud1u2bZdYCjL3zweT/6xXS6X8vLylJOTo6ysLGVkZCglJUUJCQnaunWrVq1apYyMjGL7O7GV7LXXXtMDDzwgJyc7AQAAAAAQMEkZ0sJN5nMv7SbFRpvPLe88a3+R5/ctfskOGzZSVp26fskGAACoLNrVl9buMZPFIBkAAAAQfNHRvv2ievfu3X7qpGS+DFTVqFGjxBpfn/uePXvUuXNnnx5jgq+DZN48d8BbL774ojZs2KDly5cXW/f6669r5MiROu+880p9rLi4OE2cOLHYmkGDBpVYAwAAygcGyeAVl8ulFStW6Oeff9bmzZsVHx+vP/74Q0eOHCnxCgSh6sQA2YlhscLuP7GpbP/+/Zo/f75GjBgR0B4BAAAAAKjMZq6Rct1mM2tXlQYH/rPmkGcnJ8k1b6Zfsh0dOsvRl6tTAgAAlFU7gxvJjqRJxzKkWjHmMgEAAAD4pmbNmj7Vx8fH+6mTkvkyUNW2bdsSa0rz3EN9kCw8PFzNmzf3YzeobCIjIzV//nxdfPHF+vnnn4us83g8uvrqq7Vq1apSvQYzMzN14403Kisrq8iaXr16aebMmQoL47RzAAAqAv4fHcVKTU3Vyy+/rDfeeENJSUkF7gvkpjF/ODEk5q1FixYxSAYAAAAAQIDsPiKt3Gk+96o+Uji/ESvAtm3lffm5lJNtPrxKjMKu/IvPv4cBAADA6ZrWkqIjpKxcM3k7Dkn9WpvJAgAAAOC7Ro0ayel0yu327opqO3bs8HNHRfPlXMEzzjijxJqmTZv6dPxgPXdfnneHDh0UHh7ux25QGVWrVk0LFy7U2LFjNWfOnCLrDh06pIEDB2rRokVq166d1/lpaWkaNmyYVq5cWWRN//79NX/+fDbuAQBQgTiC3QBC16uvvqoWLVroueee07Fjx2TbdoEvy7LK9Zek/OdSEtu2tWLFCn//kQMAAAAAAEm2LU1bbT63dT2pT0vzueWd55efZcdt80t22BVXy6pW3S/ZAAAAlY3DIbWtby5vxyFzWQAAAAB853Q61ahRI6/rt23bVuzGIH/Ky8vzqs7pdKpTp04l1jVr1syn469fv96nelO8fd6S1LVrVz92gsqsevXqmj17tl588UVFREQUWbdnzx716dNH7733njweT4m5ixYtUs+ePbVs2bIia2644QYtXrzY5y2CAAAgtDFIhtMcPXpUQ4cO1cMPP6zk5OQih8ZOOHXArDx9eePEcz1w4IBf/rwBAAAAAEBBa/dIOxLM5159psRirILsY0fl+nq2X7IdvfrK2aWbX7IBAAAqq/YNzGVtP2guCwAAAEDpdO7c2etat9utTZs2+bGbouXmercauX379oqKiiqxrkuXLj4df926dT7Vm+Lt85akbt34fTj86+GHH9bWrVs1atSoImtSU1N16623qn379nr++ee1atUqJSUlyeVy6fDhw9qwYYMmTZqkAQMG6JJLLtHOnTsLzalXr56mT5+uDz/8UJGRkf56SgAAIEjCgt0AQsuhQ4d0zjnnaNeuXfkDZCf4sqa5IkpNTQ12CwAAAAAAVHh5bmnGr+Zzz2x1fCMZ/sf2eJT35edSbo758Bo1FTb8CvO5AAAAlVw7g4NkB1Ok1CyperS5TAAAAAC+6dWrlxYuXOh1/cqVK3XmmWf6saPCeXvu3ODBg72qq1evnho3bqz9+/d7Vb99+3YdPXpUtWvX9qreFF/OGfT2uQNl0bp1a02cOFE///yzDh4s+goxO3fu1JNPPulzfmxsrO6//3499NBDqlatWllaBQAAIYyNZMiXlJSkwYMHKz4+vsAQmS/buyqyOnXqBLsFAAAAAAAqvB+2SkfSzGaGO6Ur+5jNrAg8q36SHb/DfLBlKXzMdbKiOSMZAADAtOZ1pAiDlwrdcchcFgAAAADf9e/f36f6H3/80U+dFC8pKcmruksvvdTrTF+eu23bWrJkidf1pnj7vJs0acJGMgTE0qVL1a9fvwJDZE2bNpXDUfrTwSMiInTBBRfo/fff14EDB/Tss88yRAYAQAXHRjLku/3227V58+YCA2RQ/lBdhw4dgt0KAAAAAAAVWmqW9NV687mDu0i1q5rPLc/so0fkWjDPL9nOs8+Xo1Vbv2QDAABUdmEOqU09aesBM3nbD0m9W5rJAgAAAOC7gQMHKjIyUjk5OV7VL126VHl5eQoPD/dzZwUdPXq0xJqqVavq3HPP9Trz4osv1pdfful1/ffff68rrrjC63oTvHnekjR06FA/dwJI06dP1w033FDgvxePPfaYJk6cqOTkZP30009av369Nm/erD179mj//v1KSUlRdna2HA6HoqOjVb16dTVu3FjNmjXTGWecoV69eumcc85hcAwAgEqGQTJIkubMmaMvv/ySIbJijBgxItgtAAAAAABQoc1dL2Xlmc2MjZaGdjWbWd7ZHo/yZnwm5eUaz7YaNJTzYu+vOAsAAADftW9gbpCMjWQAAABAcMXExOjcc8/Vd99951V9WlqafvjhB11yySV+7ux/3G63Dhwo+YeQIUOGKCIiwuvcIUOGyLIsr89VnDt3rt54440ybV7y1b59+7yqu+yyy/zcCSq7t956S+PGjZPH48m/7YUXXtAjjzwiSapZs6aGDx+u4cOHB6tFAABQjgTuHTVClm3beuihhwp8D+UP1UlS/fr1dfPNNwexGwAAAAAAKrb9SdLSbeZzR/aSor3/3LpScK9YKnt3vPlgh0Nho6+TFeAr4QIAAFQ27RqYy/rzmJTh3eIDAAAAAH7yl7/8xaf6GTNm+KmTwu3fv18ul6vEuttuu82n3MaNG+ucc87xuv7gwYNasWKFT8coq71795ZY06xZM1188cUB6AaV1eTJk3XnnXcWGCJ79NFH84fIAAAAfMUgGfTVV19p9+7dPl3do6I7eTNbWFiY3n77bVWtWjXIXQEAAAAAUHFN/0XyGP61RNNa0tltzWaWd54jCXIv/Nov2c5BF8vRuKlfsgEAAPA/repKYYY+5bUlxSWYyQIAAABQOldddZWqVKnidf2sWbOUmZnpx44K2rp1a4k1bdq00QUXXOBz9tixY32q/+STT3w+Rll489xvvfVWOZ3OAHSDymjKlCm6//77C9zWs2dPPf/888FpCAAAVAgMkkGTJ082kmNZVrFfvtab/vKlZ+n4EFlMTIymTp3Kul8AAAAAAPxo85/Sb3+azx1zpuTgt1/5bI9HrumfSq4849lWoyZyDhpsPBcAAKC8sm1bttvtl+zwsOPDZKbsOGQuCwAAAIDvqlatquuvv97r+uTkZH3xxRd+7KigDRs2lFhz++23F3mOXnHGjBmjWrVqeV3/6aefKjU11efjlFZJzz0sLEx//etfA9MMKp05c+bo7rvvPu32p59+muFFAABQJpxKU8nt2LFDixcv9mkbmS+DWsUJ9Pazwnq0bbvQrypVquj666/Xli1bdM011wS0TwAAAAAAKhO3R5q22nxu92ZSp0bmc8sz97IfZe/bYz7Y6VTY6Otk8aElAACo5GyPR57d8XJ9PUd5Lz4n96qf/Hasdg3NZW1nkAwAAAAhxO3jBRl8rQ9VjzzyiE+DIW+88YYfuylo9erif4lfvXp13XzzzaXKjomJKXRQpigZGRn68MMPS3UsXx07dkxxcXHF1owZM0YNGxr8AQ34r7i4ON1www3yeDwFbq9atSqLEQAAQJmFBbsBBNeCBQu8qjt1CKuwITDLshQbG6vo6GiFh4crPDw8/75Dhw4pIyMjf2DNsiw1adJEERERZXsCXrJtW7t27SqwbcyyLLVq1Uo1atRQ1apV1bBhQ3Xu3FndunXTBRdcoOjo6ID0BgAAAABAZbZ8h7Q/2Wym05Ku6mM2s7zzJByU+9v5fsl2XjhEjoZM7QEAgMrJzs2VJ26bPFt/k+f3LVJGev59ni2bpAHn+eW47RtIXxvK2psoZedJUeEl1wIAAAD+lpub69f6UNW6dWv95S9/0SeffOJV/bp16/TNN99oyJAhfu3L7XZr8eLFxdY88sgjPm0VO9W9996ryZMnKyUlxav6F198Ubfffrvfzz388ccfTxviOVlERIQmTJjg1x6CzdtlAf5aKhDoZQVlYbrXW2+9VWlpaafd3qBBAzkc7BABAABlwyBZJfftt9+WWHPy8JUk1alTR+edd566d++uLl26qHnz5mrWrJlq1qxZ5Gayf//73/rb3/5W4LannnpKt9xySxmfgffuvfde/ec//ynQ4yWXXKLXX389YD0AAAAAAID/ycyVZq81n3t+R6lhDfO55ZXtdss1/VPJD1fmtZo0k/O8C4znAgAAhDI7PU2e37ccHx6L2ybl5RVetztedmaGrCoxxntoXU9yWJLHwHlqHlvamSB1aVL2LAAAAKCsMjMzfapPT08vuaiceP755zVz5kxlZWV5VT9hwgS/D5ItXbq02AGvBg0a6IEHHijTMWrXrq2///3veuSRR7yq/+OPP/R///d/uuOOO8p03JLMmzev2Ptvv/12tWrVyvhxvR2OdLlcxo99qmD34u3fBX8OnBU3THgyk38GX331lZYuXVroffHx8dq8ebO6dOli7HgAAKDyYSy9EsvNzdWyZcuKHP6yLCt/g1jVqlV15513atWqVTp8+LBmzJihJ598Updddpm6d++uWrVqFZkjSddff32BqyDYtq133nnH+HMqziuvvKIBAwbkbyOzbVtvvvmmZsyYEdA+AAAAAADAcfM3SmnZZjNjIqQRPc1mlnfupd/L/nOf+eCwMIWNvk6W02k+GwAAIMTYiUfkWvajct+arNzn/i7Xl5/Js/W3IofIJEkejzzbtvqln6hwqUUdc3k7DpnLAgAAAMoiOTnZp/qkpCT/NBIETZs21WOPPeZ1/apVq/TFF1/4sSPpww8/LPb+Z555RjExZb94xr333qt27dp5Xf/ss896vcGsNNLT0zVr1qwi769WrZqeeuopvxw7r7ifM0tRVxbeDpL5azNgdrZ3HyL588/C20Eyk38GL7/8cpH32batUaNGacuWLcaOBwAAKh8GySqx9evX51/B5dQrMpy8heyuu+7Srl279MYbb6hv376lOlajRo104YUX5g9xSdLatWu1bt26MjwD34SFhWn69OmqW7euJOUPk91yyy3auXNnwPoAAAAAAADSkTTpu83mc4f3kKpGms8trzwH9sv9/UK/ZDsHXypH/QZ+yQYAAAg22+OR54+9ci38WrmvTFTui/+Qe/4c2bvjJR+udO7ZsslvPbYz+FaMQTIAAACEikOHfHtzeuTIEbndbj91E3h/+9vf1LVrV6/rH374Yb9tZTt48KCmT59e5P3nnnuubrvtNiPHioiI0AcffFDgYvXFSUhI0NNPP23k2IV55513lJGRUeT9r7zySv55iKalpaUZrSsLbwc1U1NT/XJ8b4cFfd1k6IucnByv6nwdgi3KwYMHi9xGdkJcXJzOOOMMXXDBBZo4caLmz5+vzZs3a//+/UpKSlJGRoZyc3Pldrv9uq0NAACUX2HBbgDBs2PHjtNuO3mALDIyUp999plGjhxp5HjXX3+9vv322wK3vfXWWwHdTNawYUP93//9n4YPH56/cS0tLU1XXXWVVq1apchIzjQDAAAAACAQZv4quby7iKPX6leXBnU0m1me2S6XXDM+kfxwEoXVvKWc55xvPBcAACAUuH9dJde386XUsl/d3rPjd9l5ebLCww10VlC7BtLC38xk7Toi5bqkCD49BgAAQJDt2bPHp3qXy6U9e/aodevW/mkowCIiIvThhx/qzDPP9GrD0f79+3XPPffogw8+MN7LP/7xjyI3QtWqVUuffvqp14Nf3jjrrLP08MMP64UXXvCq/j//+Y8uu+wyDRo0yFgP0vGhqOJ6GD16tG655RajxzzZ0aNHvarLyspSdna2oqKi/NZLYmKi0TpfuN1u7d+/36taU0NchcnKyvKqztSfwS+//OJVnW3b+vHHH/Xjjz96nX3inFnLsuR0OvO/wsLCFB4erqioKEVGRiomJkYxMTGKjY1V7dq1Vb9+fbVs2VK9e/dW9+7dOc8WAIAKgI1kldipg2QnD5E5nU7NmDHD2BCZJI0aNUrVq1fPP5Zt2/r888/9djWKolx66aW66667ClxpYdOmTbrvvvsC2gcAAAAAAJVV/GHpl93mc0f3lcKc5nPLK/eP38o+4N2HrD4JD1fYVdfKMniCAAAAQEiJiDAyRCZJys2VJ/70izua0K6+ZBnKcnmk3UcMhQEAAABlsHHjRp8fs379ej90Ejzdu3fX66+/7nX91KlTNXXqVKM9LFu2TG+99VaR9//f//2fmjRpYvSYkvTcc8/pvPPO86rW4/Ho2muv9XmLXUkefPBBJSQkFHpfixYt/H7h/N27vf8AZd++fX7s5PjmK2/40rO39uzZ4/W2wYMHDxo//gneDojFx8cbOZ4/z6e1bVsej0dut1u5ubnKyspSenq6kpOTdeTIEf3xxx/auXOnNm7cqJUrV+qbb77RJ598opdffll33323+vXrp+rVq2vQoEH66KOPit3aBwAAQhtne1RihW0ks21blmXp0Ucf1bBhw4weLzo6WmPGjCkwwJWZmamPPvrI6HG88e9//1vNmjWT9L+htnfffbfYVdwAAAAAAKDsbFua7t3FFH3SoaHUvZn53PLKs/8PuRd/W3JhKTgvGS5H3Xp+yQYAAAgFjvYdJae5KxR4thhaG3aKKpFS01rm8rabPfcSAAAAKJVFixb5/Jhvv/XP70KD6bbbbtOdd97pdf3tt9+uhQsXGjn2vn37TjvP72QTJkzQZZddZuRYpwoPD9eMGTPyz+0ryaFDh3TxxRcrKSnJyPHfffddvf/++4XeV6tWLc2ZM0exsbFGjlUUX4YpN23a5Lc+kpOTtXPnTq9qk5KSfN4mWJLly5d7Xbt161ajxz4hNzdXGzZs8LqHvLy8Mh8z1Lcr5ubmavHixRo7dqyaNGmiyZMny+VyBbstAADgIwbJKrGT37if2EYmSY0bN9Yzzzzjl2P+9a9/LXBM27b1xhtv+OVYxYmJidGUKVPyf9g90cttt91m/AcaAAAAAADwP+v3SnGFX8iz1CxJV58pWabWMZRztitPrmmfSB6P8WyrZWs5zzrXeC4AAEAosaKiZbVuayzPs/U32X54byZJ7RqYy2KQDAAAAME2Y8aMUg3GfPHFFzpypOKt2J08ebLXA1u5ubkaNWqU5s6dW6Zj7tu3TxdeeGGRW76efvppPfXUU2U6Rknq1q2r+fPnq27dul7Vb9q0SYMHDy7zVqqPP/64yOG9GjVq6LvvvlO3bt3KdIySJCUl+TRA9eWXX/qtly+//NKnAaGPP/7Y6PHnzZvnde3q1av9shVt5syZSknxbmN5RkaGvvnmmzIf88wzz1TbtuZ+J+FPycnJuv/++9WrVy/t2rUr2O0AAAAfMEhWiaWlpRUYIDuxjez+++9XRESEX47Zt29fde7cucBtO3bs0A8//OCX4xVnyJAhuuSSSwoMk6Wmpuovf/mL1yuRAQAAAACA91weacav5nMHtJOa1TafW165v18oO6FsH5gXKiJC4VddK8vBrxQBAEDF5+x0hrmw9DTZf+w1l3eS9g3NZcUnSC4+IgMAAECQrFq1SmPHji3VY9PS0nT55Zcb20oVKk5s5xo1apRX9VlZWRo5cqSeeuop5ebm+ny8JUuWqF+/foqLiyv0/ieffFLjx4/3Obc0unTpoiVLlqhBA++unrFmzRr16tVLP/74o8/Hcrvd+vvf/66xY8cWet5gjRo19O2336pnz54+Z/vqueeeU05Ojtf106ZN88u5lykpKZowYYJPj/nXv/5lbJhrw4YNPg1F5uXl6dZbbzVy7BNSUlL0xBNP+PSYhx56SFlZWWU6rtPp1Pvvv6/w8PAy5QTSpk2b1K9fP61atSrYrQAAAC9x1kcllp6eftptlmXpmmuu8etxb7755tPWXk+ePNmvxyzKiy++KMcpJz/98ssvftvIBgAAAABAZbZ0m5SQajYzMkwa1ctsZnnm2bdH7iXf+yU7bOhlsmrX8Us2AABAqHGYHCTT8a1k/tC2vrmsXLe096i5PAAAAMAbeXl5+uc//6nzzz+/TAMYK1eu1FlnnaVFixYZ7C74wsPDNW3atCI3ZZ3Ktm0999xz6tKli6ZPn668vLwSHxMXF6cbb7xRgwYNKnSrV7Vq1fT555/rueee87n/sujUqZOWLVumTp06eVV/8OBBXXDBBbr66qu1cePGEus9Ho+++uorde/eXf/85z9PO6dROn7h/HXr1qlPnz4+9++rjz76SJMmTfL5caNHj9Z3331nrI/ExESNGDFCf/zxh0+Py8zM1MCBA736sy/Or7/+qqFDh8rj42bvH374QVdffbUyMzPLdHxJ+vPPPzVkyBDt2bPHp8ft3LlTF110UZEb/bx1zjnnaNasWYqJiSlTTiAdOXJEQ4YM0c6dO4PdCgAA8IJlF/buF5VC7dq1lZycLEn5PwR16dKlVOvBfXHs2DE1btw4/6ontm3L4XBox44datWqlV+PXZgrr7xSs2bNyt/OZtu2nE6nlixZogEDBgS8HwBAaDp5i2dxeGsFAABQuMxc6fEZUnq22dyRPaXhPcxmlld2Xp7yJr8g+0iC8WyrTTuF//UutpEBAIBKJff1l2T/uc9IllW3viIeftJI1qmenCkdTDaTdWVvaWg3M1kAAADACfHx8fkDTbm5uTpy5IgOHDigxYsX66uvvlJiYqLR4/Xo0UOXXHKJzjzzTNWtW1c1a9bM/8w/NjZWDRsaXO0bQB9//LHuuOMOnwZl6tWrp6FDh+qss85S8+bNVbNmTblcLiUkJGjTpk367rvvtGLFiiLPdejVq5e++OILtWnTxtTT8FlGRoZuvfVWff755z49rlevXrrgggvUu3dv1atXT1WrVlV6erp2796tX3/9VV9//bX27Sv8Zz7LsvTAAw/oX//6l182Q+Xm5io9PV379+/Xxo0bNW3aNH399delznM4HBo5cqQuvfRSdevWTY0aNVJsbKwiIyNPu9D+ybZs2aLc3FwdO3ZMe/fu1erVqzV9+vT880pLIzw8XMOGDdPAgQPVpk0b1atXT9HR0WrXrl2BP8vMzEzt27dP2dnZOnbsmDZv3qxFixbpm2++KdO5Nw0bNtSoUaPUs2dPNWnSRLVq1VJkZKSaNWum2NjYArUHDx5USkqKsrKylJSUpLi4OC1dulRz5swp02BrtWrVdMUVV6h///5q0aKF6tSpo6ioKK+HIk/YvHmzrr76am3ZsqXUvQRa586d9csvv6hKlSrBbgUAUA5wXm7wMEhWiUVGRsrlckk6/pfLsizdcMMN+uCDD/x+7GuvvVaff/65LMvKP/a4ceP02muv+f3Yp1q9erX69+9f4D9Etm2rVatW2rhxY7m6qgMAwH94wwoAAFA2M9dI88t2EcrT1IyRnr/y+FYySK5v5vlnG1lkpCIe+JusmrXMZwMAAIQw14+L5F4031he+MNPylHX4Aqx//pohbRkm5msrk2k+y82kwUAAACc0KJFC+3duzfYbUiSxo4dq6lTpwa7jVKLj4/X/fffX6ahI2/Ur19ff//733X77bf7ZZCqNL788ks99NBDRQ5/mXLeeedp4sSJ6t+/v1/yn332WY0fP94v2adq3rx5sVu1vD0XxoTdu3erRYsW+d8vWbJE559/fsCO/8EHH+jGG28scNuNN96oDz/8MGA9lOacouzsbE2YMEEvvfSSVxsGQ8HEiRP1+OOPB7sNAEA5wHm5wcMlhCuxwv5CnfxG3Z9uv/32/H8+MUz2wQcfKCkpKSDHP9mZZ56pDh06nHb77t27eTMLAAAAAIABx9Klbzebz72yN0NkJ3j+2Cv30h/8kh02bCRDZAAAoFJydOpqNM+z5TejeSe0a2AuKy5B8njM5QEAAAAwq3Xr1vrqq6/0zTff6OyzzzaeX6dOHU2YMEHx8fG6++67Q2aITJKuvPJKbdu2Tf/85z/9slWuT58+mj9/vpYsWeK3ITLAV1FRURo3blyB13xxW+ZCwYsvvqi0tLRgtwEAAIrBRrJKrFq1avlrrk9sBXvllVd03333BeT4nTp10vbt2wsc/9lnn9VTTz0VkOOf7Omnn9Zzzz132lYyh8OhlStXqm/fvgHvCQAQWrjyAQAAQOm9v0xaEWc2s2Ud6ckRkiNwF8sMWbbLpbzXX5R96KDxbKtdR4XffEdAr0oKAAAQKmzbVu6L/5COJhrJs5q3VMRdDxjJOtmxDOnhL8zlPXOZ1LyOuTwAAAAA/rN+/Xq99dZbmj9/vvbv31+qjKioKA0fPlzXX3+9LrnkkpAaHitKXl6epk+frk8++URLlixRdnZ2qXKaNWuma665Rtdff706depkuMvCJSYmKjHRzM+ZJQkPD1fr1q0Dciz4x5EjR3Tuuedq27bjq8idTqfmzZunc889V3v27NGff/6pgwcP6vDhw0pMTNSxY8eUkpKi1NRUpaenKyMjQ5mZmcrOzlZOTo5yc3OVl5cnl8slj8cjj8cj27aNn+/0xRdfaMyYMUYzAQAVD+flBg/XbK7EoqKi8gfJTggLC9xL4q677tK9994ry7Lyt5K99tprevDBBxUTExOwPiTpnHPOyf/nE0NtkuTxeHTffffp559/Dmg/AAAAAABUFPuOSisND5FJ0ui+DJGd4F78rV+GyBQVrfArrmaIDAAAVFqWZcnZqavcy380kmfv2yM7LVVWtepG8k6oFSPVrSYdMXSx7+2HGCQDAAAAyosePXro7bffliRt3LhRy5cv15YtW7R161b98ccfSktLU1pammzbVo0aNVSjRg3VrFlT7dq1U+/evdWnTx91795d0dHRQX4mvgkPD9e1116ra6+9VllZWVqyZInWrFmjrVu3atu2bUpMTFRaWprS09MVFRWlmjVrqmbNmqpbt666du2qPn36qHfv3mrbtm3Afwdep04d1anDD10oWUpKii655JL8ITJJmjRpkoYOHSpJ6tKli7p06WLseB6PR263Wy6XS1lZWcrMzFRSUpKOHj2qhIQE7dq1S9u3b9eaNWu0ZcuWYrMWLVrEIBkAACGMQbJKLDY2VseOHStwW1JSUsCOP3bsWD3xxBPKyMjIv+3YsWOaPHmynnjiiYD1IUlnnHFGge9PDJPZtq1ffvlFy5cvLzBsBgAAAAAASmbb0vRfJNPXhureTGrf0HBoOeU5uF/uH7/1S3bYiFGyatT0SzYAAEB54eh8hrFBMtm2PL9vlrPvWWbyTtK+gblBsh2HpMHmzkMDAAAAECDdunVTt27dgt1GwEVHR2vIkCEaMmRIsFsBjMnMzNSwYcO0bt26/Nuuu+463X333X47psPhkMPhUHh4uKKjo1WrVi01adKk0Nr9+/fr7bff1osvvljoRsC1a9f6rU8AAFB2jmA3gOBp0KDBaWv+ArUyWZKqVaum66+/Pr+HE4NbL7zwghISEgLWhyTVrl272PvfeeedAHUCAAAAAEDFsXm/tPWA2UyHJV3Vx2xmeWW73XLN+FTyeIxnOzp2kaNnX+O5AAAA5Y3VvKUUE2MszxPvh3W9kto1MJe149Dxi0IAAAAAAIDAy8vL05VXXqmffvop/7bWrVvrrbfeCmJXBTVu3FgTJkzQxo0b1ahRo9PuD/Q5wAAAwDcMklViDRqc/onSmjVrAtrDvffee9pq6LS0ND300EMB7SMlJaXQ208Mt82ePVu5ubkB7QkAAAAAgPLM4zm+jcy089pLDWuYzy2P3Mt+lL3/T/PB0VUUNmrMab+zAQAAqIwsh0OOjmVbz2XVrSfnwAsVftcDChtzvaHOCjI5SJaeIx1INpcHAAAAAAC8Y9u2brjhBn3zzTf5t1mWpalTpyrG4IVuTGnXrp1mzpx52u3Hjh0LQjcAAMBbDJJVYq1bt87/5xMDU2vXri10zay/tG/fXkOGDDltK9nnn3+uJUuWBKyPP/88/aSrk7e1ZWVlafny5QHrBwAAAACA8u6nOGl/ktnMyHBpRE+zmeWV53CC3N9/U3JhKYRdfpWs6rF+yQYAACiPHJ3O8O0BliWrWQs5h4xQ+MNPKuLhvytsyAg5mreU5fDPx7N1q0k1DZ5PtuOQuSwAAAAAAOCdhx56SF9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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 11(b)\n",
    "t=2.1\n",
    "v=1\n",
    "c=0.1\n",
    "n=4\n",
    "x1 = np.arange(0.001, 1.5, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "for i in x1:\n",
    "    y.append(CUS_SW(i,n))\n",
    "    y_s.append(single_SW(i,c, v,t,n))\n",
    "    y_p.append(pool_SW(i, c,v,t,n))\n",
    "plt.figure(figsize=(4, 2.5))      \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "acfc37fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x199c1fa70>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 12(a)\n",
    "t=2.1\n",
    "v=0.7\n",
    "c=0.1\n",
    "n=5\n",
    "x1 = np.arange(0.001, 1.5, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "for i in x1:\n",
    "    y.append(CUS_SW(i,n))\n",
    "    y_s.append(single_SW(i,c, v,t,n))\n",
    "    y_p.append(pool_SW(i, c,v,t,n))\n",
    "plt.figure(figsize=(4, 2.5))      \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "d97d36b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x199c1df70>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure 12(b)\n",
    "t=2.1\n",
    "v=1\n",
    "c=0.1\n",
    "n=5\n",
    "x1 = np.arange(0.001, 1.5, 0.01)\n",
    "y=[]\n",
    "y_s=[]\n",
    "y_p=[]\n",
    "for i in x1:\n",
    "    y.append(CUS_SW(i,n))\n",
    "    y_s.append(single_SW(i,c, v,t,n))\n",
    "    y_p.append(pool_SW(i, c,v,t,n))\n",
    "plt.figure(figsize=(4, 2.5))      \n",
    "plt.plot(x1, y, label='Multi-listing',color='#619cff')\n",
    "plt.plot(x1, y_s, label='Single-listing',color='#00ba38', linestyle = \"--\")\n",
    "plt.plot(x1, y_p, label='Pooling',color='#f8766d', linestyle = \"-.\")\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Welfare\", fontsize=13)\n",
    "plt.legend(loc = \"upper right\", frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "57475509",
   "metadata": {},
   "source": [
    "# Figures in Appendix"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af3ea426",
   "metadata": {},
   "source": [
    "# Figure EC.2 Socially Optimal Routing Under CUE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "410619fc",
   "metadata": {},
   "outputs": [],
   "source": [
    "#define functions\n",
    "\n",
    "v=0.7\n",
    "c=0.1\n",
    "t=0.5\n",
    "mu=0.5\n",
    "\n",
    "import math\n",
    "def WA(L,x1,x2,x3):\n",
    "    return (L*(x1 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2) + \n",
    "     L**3*x1**2*x3 + \n",
    "     L**2*mu*(x1**2 + 2*x1*(x2 - x3) + x2*(x2 + x3))))/(mu*(mu - \n",
    "     L*x1)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WB(L,x1,x2,x3):\n",
    "    return (L*(x2 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2)+ \n",
    "     L**3*x2**2*x3 + \n",
    "     L**2*mu*(x1**2 + x2*(x2 - 2*x3) + x1*(2*x2 + x3))))/(mu*(mu - \n",
    "     L*x2)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WR(L,x1,x2,x3):\n",
    "    return -((L**2*(-2*mu + L*(x1 + x2))*(x1 + x3)*(x2 + x3)*(x1 + x2 + \n",
    "       x3))/(mu*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "       L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "       L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3)))))+1/mu\n",
    "\n",
    "def PA(L,x1,x2,x3):\n",
    "    return -(((mu - L*x1)*(x2 + x3)*(2*mu + \n",
    "       L*(x1 - x2 + x3)))/(-2*mu**2*(x1 + x2 + 2*x3) + \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) + \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))\n",
    "\n",
    "def SW(L,x1,x2,x3):\n",
    "    return x1*(v-0.5*t*x1-c*WA(L,x1,x2,x3))+x2*(v-0.5*t*x2-c*WB(L,x1,x2,x3))+x3*(v-t*PA(L,x1,x2,x3)-c*WR(L,x1,x2,x3)-t*(1-2*PA(L,x1,x2,x3))*(x2+0.5*x3))\n",
    "\n",
    "\n",
    "def hh(m):\n",
    "    x,Lambda=m\n",
    "    a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    return [a,b]\n",
    "theta=fsolve(hh, (0.1,0.8))\n",
    "\n",
    "numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "Lambda_2=numerator / denominator\n",
    "\n",
    "\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2\n",
    "    \n",
    "def xe(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return x_e                      \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return x_ee\n",
    "    else:\n",
    "        return x_s\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c*WA(l,x1,x2,x3)\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c*WB(l,x1,x2,x3)\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2+x3)\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2)\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return UR23(x1,x2,x3,l)\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "8f916a11",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.3\n",
    "b= 0.3\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,2,0.0001)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "38e2f03a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19a0323f0>"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.2 (a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::10], x1[::10], label=r'$x_A^*$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::10], x2[::10], label=r'$x_B^*$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::10], x3[::10], label=r'$x_R^*$',color='#f8766d')\n",
    "plt.vlines(0.49, 0, 0.5, 'black', ':')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Optimum\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "aa83e91d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#slove for another case \n",
    "v=0.7\n",
    "c=0.1\n",
    "t=0.6\n",
    "mu=0.5\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.3\n",
    "b= 0.3\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,2,0.0001)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "a52f6c0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19996df40>"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.2 (b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::10], x1[::10], label=r'$x_A^*$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::10], x2[::10], label=r'$x_B^*$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::10], x3[::10], label=r'$x_R^*$',color='#f8766d')\n",
    "plt.vlines(0.445, 0, 0.46, 'black', ':')\n",
    "plt.vlines(1.285, 0, 0.46, 'black', ':')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Social Optimum\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "66c6b188",
   "metadata": {},
   "source": [
    "# Figure EC.3 Social Optimum vs. Equilibrium Under CUE: Proportion of Multi-Listing Customers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "c0e92305",
   "metadata": {},
   "outputs": [],
   "source": [
    "def WA(L,x1,x2,x3):\n",
    "    return (L*(x1 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2) + \n",
    "     L**3*x1**2*x3 + \n",
    "     L**2*mu*(x1**2 + 2*x1*(x2 - x3) + x2*(x2 + x3))))/(mu*(mu - \n",
    "     L*x1)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WB(L,x1,x2,x3):\n",
    "    return (L*(x2 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2)+ \n",
    "     L**3*x2**2*x3 + \n",
    "     L**2*mu*(x1**2 + x2*(x2 - 2*x3) + x1*(2*x2 + x3))))/(mu*(mu - \n",
    "     L*x2)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WR(L,x1,x2,x3):\n",
    "    return -((L**2*(-2*mu + L*(x1 + x2))*(x1 + x3)*(x2 + x3)*(x1 + x2 + \n",
    "       x3))/(mu*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "       L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "       L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3)))))+1/mu\n",
    "\n",
    "def PA(L,x1,x2,x3):\n",
    "    return -(((mu - L*x1)*(x2 + x3)*(2*mu + \n",
    "       L*(x1 - x2 + x3)))/(-2*mu**2*(x1 + x2 + 2*x3) + \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) + \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))\n",
    "\n",
    "def SW(L,x1,x2,x3):\n",
    "    return x1*(v-0.5*t*x1-c*WA(L,x1,x2,x3))+x2*(v-0.5*t*x2-c*WB(L,x1,x2,x3))+x3*(v-t*PA(L,x1,x2,x3)-c*WR(L,x1,x2,x3)-t*(1-2*PA(L,x1,x2,x3))*(x2+0.5*x3))\n",
    "\n",
    "\n",
    "def hh(m):\n",
    "    x,Lambda=m\n",
    "    a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    return [a,b]\n",
    "theta=fsolve(hh, (0.1,0.8))\n",
    "\n",
    "numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "Lambda_2=numerator / denominator\n",
    "\n",
    "\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2\n",
    "    \n",
    "def xe(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return x_e                      \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return x_ee\n",
    "    else:\n",
    "        return x_s\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c*WA(l,x1,x2,x3)\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c*WB(l,x1,x2,x3)\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2+x3)\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2)\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return UR23(x1,x2,x3,l)\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "v=3\n",
    "c=0.1\n",
    "t=0.5\n",
    "mu=0.5\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,6,0.05)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "6c1cd081",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Proportion of Multi-Listers')"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.3(a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, xeq3, label=r'$q_R^{eq}$ (Equilibrium)',color='#619cff', linestyle=\"--\")\n",
    "plt.plot(xxx, x3, label=r'$x_R^*$ (Social Optimum)', color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Proportion of Multi-Listers\", fontsize=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "9f9ccb13",
   "metadata": {},
   "outputs": [],
   "source": [
    "def WA(L,x1,x2,x3):\n",
    "    return (L*(x1 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2) + \n",
    "     L**3*x1**2*x3 + \n",
    "     L**2*mu*(x1**2 + 2*x1*(x2 - x3) + x2*(x2 + x3))))/(mu*(mu - \n",
    "     L*x1)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WB(L,x1,x2,x3):\n",
    "    return (L*(x2 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2)+ \n",
    "     L**3*x2**2*x3 + \n",
    "     L**2*mu*(x1**2 + x2*(x2 - 2*x3) + x1*(2*x2 + x3))))/(mu*(mu - \n",
    "     L*x2)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "\n",
    "def WR(L,x1,x2,x3):\n",
    "    return -((L**2*(-2*mu + L*(x1 + x2))*(x1 + x3)*(x2 + x3)*(x1 + x2 + \n",
    "       x3))/(mu*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "       L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "       L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3)))))+1/mu\n",
    "\n",
    "def PA(L,x1,x2,x3):\n",
    "    return -(((mu - L*x1)*(x2 + x3)*(2*mu + \n",
    "       L*(x1 - x2 + x3)))/(-2*mu**2*(x1 + x2 + 2*x3) + \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) + \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))\n",
    "\n",
    "def SW(L,x1,x2,x3):\n",
    "    return x1*(v-0.5*t*x1-c*WA(L,x1,x2,x3))+x2*(v-0.5*t*x2-c*WB(L,x1,x2,x3))+x3*(v-t*PA(L,x1,x2,x3)-c*WR(L,x1,x2,x3)-t*(1-2*PA(L,x1,x2,x3))*(x2+0.5*x3))\n",
    "\n",
    "\n",
    "def hh(m):\n",
    "    x,Lambda=m\n",
    "    a=t*(0.5-x)-c*Lambda*(1-Lambda*x)/(0.5-Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    b=v-t/2-c/(1-Lambda)-c*(1-2*Lambda*x)/(1+Lambda-2*Lambda*x)\n",
    "    return [a,b]\n",
    "theta=fsolve(hh, (0.1,0.8))\n",
    "\n",
    "numerator = t * (0.5 - ((v - t/2)/(4*c)) + math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25))\n",
    "denominator = v * (((v - t/2)/(4*c)) - math.sqrt(((v - t/2)/(4*c))**2 - 0.25)) - c\n",
    "Lambda_2=numerator / denominator\n",
    "\n",
    "\n",
    "def SWm(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return Lambda*(v-t/2-c/(1-Lambda)-c*(mu-Lambda*x_e)/(mu*(1+Lambda-2*Lambda*x_e))+t*x_e**2)                       \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return Lambda*t*x_ee**2\n",
    "    else:\n",
    "        return Lambda *t* x_s**2\n",
    "    \n",
    "def xe(Lambda):\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxx,0.4)\n",
    "        x_e=result[0]\n",
    "        return x_e                      \n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            b=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[a,b]\n",
    "        result2=fsolve(h, (0.1,0.4))\n",
    "        x_ee=result2[0]\n",
    "        return x_ee\n",
    "    else:\n",
    "        return x_s\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c*WA(l,x1,x2,x3)\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c*WB(l,x1,x2,x3)\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2+x3)\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2)\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return UR23(x1,x2,x3,l)\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)\n",
    "v=3\n",
    "c=0.25\n",
    "t=0.5\n",
    "mu=0.5\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,2,0.01)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "554a56e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1999a61b0>"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.3(b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, xeq3, label=r'$q_R^{eq}$ (Equilibrium)',color='#619cff', linestyle=\"--\")\n",
    "plt.plot(xxx, x3, label=r'$x_R^*$ (Social Optimum)', color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Proportion of Multi-Listers\", fontsize=10)\n",
    "plt.legend(frameon=False,loc='lower center')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7bc94dda",
   "metadata": {},
   "source": [
    "# Figure EC.4 Socially Optimal Prices Under CUE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "9396cbbc",
   "metadata": {},
   "outputs": [],
   "source": [
    "v=3\n",
    "c=0.25\n",
    "t=2\n",
    "mu=0.5\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,6,0.01)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "2fb1b16e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1997bdf70>"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.4(a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, PrA, label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx, PrB, label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx, PrR, label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Socially Optimal Prices\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "6f5bbe28",
   "metadata": {},
   "outputs": [],
   "source": [
    "v=3\n",
    "c=0.25\n",
    "t=0.5\n",
    "mu=0.5\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "xsum=[]\n",
    "through = []\n",
    "x_theory=[]\n",
    "a= 0.2\n",
    "b= 0.2\n",
    "s1=0.2\n",
    "s2=0.4\n",
    "x12diff = []\n",
    "cc=0.3\n",
    "eq_through=[]\n",
    "diff=[]\n",
    "x23=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "\n",
    "xxx=np.arange(0.1,2,0.01)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(L0,x[0],x[1],x[2])\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    xsum.append(sum(res.x))\n",
    "    through.append(sum(res.x)*L0)\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "\n",
    "    \n",
    "for i in xxx:\n",
    "    Lambda=i\n",
    "    x_s = (t/2 + Lambda*v - math.sqrt((t/2 - Lambda*v)**2 + 4*Lambda*c*t))/(2*Lambda*t)\n",
    "    Lambda_1 = theta[1]   \n",
    "    if Lambda < Lambda_1:\n",
    "        def xxxx(x):\n",
    "            a=t*(0.5-x)-c*(1-Lambda*x)*Lambda/((1+Lambda*(1-2*x))*(0.5-Lambda*x))\n",
    "            return a\n",
    "        result=fsolve(xxxx,0.5)\n",
    "        x_e=result[0]\n",
    "        if xxxx(result)>0.001:\n",
    "            print('fslove false when arrival is')\n",
    "            print(i)\n",
    "        xeq1.append(x_e)\n",
    "        xeq3.append(1-2*x_e)\n",
    "        eq_through.append(Lambda)\n",
    "    elif (Lambda_1 <= Lambda and t <= v-4*c**2/v) or (Lambda_1 <= Lambda < Lambda_2 and t > v-4*c**2/v):\n",
    "        def h(m):\n",
    "            x,R=m\n",
    "            aa=t*(0.5-x)-c*(1-Lambda*x)*(2*Lambda*x+R)/((1+R)*(0.5-Lambda*x))\n",
    "            bb=v-t/2-c/(1-2*Lambda*x-R)-c*(1-2*Lambda*x)/(1+R)\n",
    "            return[aa,bb]\n",
    "        result2=fsolve(h, (s1,s2))\n",
    "        s1=result2[0]\n",
    "        s2=result2[1]\n",
    "        x_ee=result2[0]\n",
    "        xeq1.append(result2[0])\n",
    "        xeq3.append(result2[1]/Lambda)\n",
    "        eq_through.append(result2[0]*2*Lambda+result2[1])\n",
    "        if h(result2)[0]>0.001 or h(result2)[1]>0.001:\n",
    "            print('fffslove false when arrival is')\n",
    "            print(i)\n",
    "    else:\n",
    "        xeq1.append(x_s)\n",
    "        xeq3.append(0)\n",
    "        eq_through.append(x_s*2*Lambda)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "8aac6f1b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1933525a0>"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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tmwsAegrTNG0L7czKntzrw1SGDE1IH65Dsibo0KwJOiRrvKZnjSdIBQAAAACABUzTTO6WlBheqg0lxbss1QszNQg3hRoPQTURblI4LEWjdv8SAEC7mBE6UwHtQZgKjTr77LN1/fXX68CBA5Kkf/3rX7rqqqtsriq1PB6P3SXAIieddJJyc3NVUlJidyndQjgc1quvvtrsmClTpqSomlinvJdeeqnJ82+99RZhKgAAAAAAUmCMa4IOmM2HqVZaGKYydxOmAoDCYLGWlK7RF6VrtKR0jdb5t2vb3FfkNJwpr2Vm9sSUr2knn8OraVnjdEjmeB2SNV6HZE3QwVljleH02V0aAAAAAACdzoxEkrstJQScFK7ZTzwWSujQlBh8SgxGNRgfojsTAFghTJgKaA/CVGiUx+PRRRddpLvvvlsTJ05Uv3797C4p5e69916VlZXZXQYs4HQ6NXPmTL3//vt2l9ItLFmyROXl5c2OGTp0aIqqkUaOHNns+RUrVigcDsvl4p80AAAAAAA608EZE/RVxbvNjtnkq1aVIypf1NHxBSvKZZaXycjK7vhcANANVEcCWl6+QUtK12hJ6VotKVujrVUFDcatrdiqg7PGpby+mVmTUr5mqgzw5NV0mppQE5war/Hpw20JrQEAAAAAkMiMRht2a2oqlJQYdKq9pkFoqWEwKnYsLIXrglB0aQKAboTOVEC7cOc5mnTdddfptNNO05w5c+wuxRZnnnmm3SXAQmPHjiVM1UpfffVVi2PS09NTUElM3759mz0fDAa1bds2jRuX+psHAAAAAADoTb7TZ4KeqGh+TMQhrcms0qyyDEvWNAt2yZh4kCVzAUBXYpqmNlbujAWnymLhqZXlGxUyW37T+4vSNbaEqYanDVR/d54KQ8UpX9tKI9MGaUb2RM3ImqhDsyZoRvZEDfb2vg8VBAAAAAC0jWmaUiTSbCipQSemep2aWnVNUhAqGFsTAIDm0JkKaBfCVGjS0KFDU9p9BuhMgwYNsruEbmPDhg0tjikuTt2b5X369GlxTCrrAQAAAACgtzpu0DhpR8vjVmVWWhamiu7Ol4MwFYAe4ECwVF+WrdUXpau1pHSNvixdq+JwebvmWlK6Rj8ZdrrFFbbMMAzNzJ6otw58kfK128OQoQnpwzUjuyY0lTVRh2ZPUB93jt2lAQAAAAAsYkYidcGkYDA5qBQM1nVkCgaTg0s1ASczYbvx/bpthUOSadr9lAEAaIjgLdAuhKkA9Ap5eXl2l9Bt7N69u8Ux3377rQ4//PAUVCOFW5GYj/CDIAAAAAAAnW5sTh/5onmqcjT/oSarsiotW9MsyLdsLgBIlUA0qJXlG7WkdG2s81TpGm2q2mXZ/EvK1lg2V1vNzJ7UJcNULsOpKRljNCN7gg7NmqgZ2RM0PXO8Ml3pdpcGAAAAAL2KaZqx0FEwFkqyNMzUYD8oRaN2P2UAAGxn0pkKaBfCVAB6hezsbLtL6Db8fn+LY7744gtdeOGFKahGKi9v+dNZ+/fvn4JKAAAAAADAMI3TRn3V7BhLw1S7CVMB6NpM09T26j36vOQbfVG6RkvK1mh52QYFzVCnrbmmYqvKw35luazpAtgWM7MnpnzN+nwOr6ZljYt1msqaoBnZEzU1c4y8Do/dpQEAAABAl2RGIvEwU2OBJEsCTrUBqnDn/X8YAAA0gTAV0C6EqQD0ChkZqX9TubtyOp0tjvm///s//f3vf5dhGJ1ez549e5o9bxiGBg0a1Ol1AAAAAAAAaXzaOG0MNh+m+ibTwjBV4T6ZoaAMNzfIA+gaqiMBLS1fp89LVuvz0tX6vGS1dgf3p7QGU6a+LlunY/vMTOm6kjQre3JK18t2ZcQCUwnBqYnpI+Ry8BYnAAAAgO7NjEaTA0zBYF1gKRisCSwFpWBieKmR/dqwU7im+1MoFOsGVbOtcIjuTQAA9HSRiN0VAN0S7zQA6BW8Xq/dJXQbeXl5LY7Jz8/X22+/rXnz5nV6Pd9++22z56dNm0ZYDgAAAACAFDk0e6wWtpAZKHdFtcVXrTFVaR1f0DRl7tktY/jIjs8FAO2ws3qvPiv5Rp+XfqPPS1ZrefkGhUz7P+VzSekaW8JUw7wD1N+dp8JQseVz57gyNTN7omZmTdLM7EmamT1RY3xD5TAclq8FAAAAAE0xo9FYd4dQsCbUFGok5FQbVqrZD4bqbSfu1wWfzIRtOkgAAADL8HMF0C6EqQD0CoSpWq9///6tGvfnP/85JWGqlStXNnv+uOOO6/QaAAAAAABAzOy+46RWNGBZlVllTZhKklmQLxGmApACgWhQy8rW13Sc+kafl65WfqDQ7rIataR0jS3rGoahmdkT9daBLzo0T2PBqbG+YTIMw6JKAQAAAPQ0pmk2HnKq7cZUP7iUFHiq246FmhICUkn7NccAAAC6C6dTkml3FUC3RJgKQK/gdDrtLqHbmDZtWqvGffDBB3rzzTc1f/78TqtlxYoV2rNnT7Njzj333E5bHwAAAAAAJDtq4CgZ65wyjUiz41ZlVeqMwpa7X7dGdHe+eGUHQGfYVb0v3nHq89LVWla2XkGze9w0t6R0rUzTtCV8NCt7UpvCVDmuTM3ImqhZ2XScAgAAAHqqWDenmsBSMLEjU003ptogU7C2O1NtkCmUtG8mBJ4UrAlI1XZ7CockkxuFAQCATQxDcrokV82X0yWjdtvlTDpn1JyPj3W5ZNTbj1/vbOT6pHWcyWs5nXXnHE4ZDl5nBdqLMBWAXoEwVevNmjWr1WOvvfZaHX300crMzOyUWl5//fVmz8+aNUvf+c53OmVtAAAAAADQUJbXq77REdrv3NrsuFWZlZatae7Ot2wuAL1XMBrS8vIN8Y5Tn5eu1s7qvXaX1W67g/u1K7BPw9MGpnztmdmTmjxXG5yamT1RM7MnaVb2JIJTAAAAQBdgRqNSMBALMAUDsU5MNftmwvGkIFQwJDMUiAWZGhlrJgSk6OYEAAAs53S2PpCUsB8PM7Ul0NSa6x0OWz7cCkDnIUwFoFfgB5jWmzp1qvr376/CwsIWx27ZskXXXnutnnjiCcvrCIfDeuyxx5odc8MNN1i+LgAAAAAAaN4o1zjtN1sIU2VZG6Yyo1E+WQ9Am+wLFunTklX6tGSVPi9ZraXl6xWIBu0uy1JflK62NUyV7cpI7jiVNUlj0wlOAQAAAO1hhsMNOzfV7/JUr+NT/bFNXhcKSuGw3U8RAAB0ZYbRukBRG8JHberOVP96Jx2XAHQ+wlTolr744guNHj1aAwem/k1CdE8OfqhqNafTqbPPPlsPPfRQq8b/85//1MyZM3X11VdbWseLL76oXbt2NXl+9uzZOu+88yxdEwAAAAAAtOyg9LH62v9us2N2pAVV7AorL2zBS9CBgFR8QOrbv+NzAeiRomZU6/079EnJyniAalNV068t9hRLStfonIHHp3zdYd4B2vDdFwlOAQAAoNcwTVMKh+IdmsxQqF6Xp3qBpsT9hEBT4rn4du3YaNTupwkAAFLN4agJEbmTA0gJ+3K5GxwzXC7J7W4YXOpIoMnptPtXAwBSjjAVup2CggIde+yxCgaDGjt2rObOnavvf//7mjdvnjIzM+0uD+gRfvSjH7U6TCVJ119/vYYOHaozzjjDkvX9fr9uvvnmJs87HA498MADdBwDAAAAAMAGs3LH6Sl/C4MM6ZvMSh1Vkm3JmtHdBXISpgJQozoS0Fdl38aDU5+VfqOiUJndZaXcktK1tqxrGIbGZwy3ZW0AAACgMaZpxoNNTXZyajTQFIgHpBQKxfZDoZpQVF1YSqGQZJp2P00AAGCVVoWYXDLi++6GISZ3TQip3r7c7lhYKWG/LhDlSp6PJgEAYCvCVGiXTZs2KT8/X9XV1Ro4cKAOPvhgOVOUSr7nnnsUCAQkSZs3b9bmzZv15JNPyuPx6JhjjtEPfvADnXPOOUpPT09JPUBPdOSRR2r27Nn6/PPPWzU+HA7rvPPO04svvqjTTz+9w+vfcMMN2r59e5Pnb775Zs2cObPD6wAAAAAAgLY7auBYKb/lcauyqiwLU5kFu6Sp0y2ZC0D3UxgsjgenPi1ZpaVl6xU0Q3aXZbulZesUiobldvB2HwAAALo2Mxqt6eyU0L0p1HA7qetTc0GoRs4BAIBuIB5iqhdQahBsaiTE1FT4qbkQU23YiS5MAIBGGKbJx2agdT777DM9/vjjev3111VcXJx0LisrSxdffLFuvfVW5eXldWodRUVF+vvf/66///3v2rNnT9K52i41mZmZOu+883TllVfq0EMP7dR60D0sWrRIxx57bIvjRo4cqW3btnV+Qd3A22+/rXnz5rXpGofDobvuuks33HBDu9f9n//5H/34xz9u8vzJJ5+s119/PWUBTjTU2o5g/IgBAAAAAD1TNGrK9+6JCjoqmh13QUE/Pbp2tCVrOg6aKveFP7VkLgDdi2maGvTxfO0LFrc8uBdadsSTOjR7ot1lAAAAoBuKBZzCsZBTOCyFwzKT9kNSKCwzEo51ZqoJOTUdhEoMOCWHohTiwxAAALCd05kQSHLLcCeEk9yNHEvqptTaDk6EmACgPbgv1x6EqdCiDRs26JprrtH7778vqek/hIZhaMyYMXr33Xc1atSoTq8rGAzqH//4h+666y5t3749/pdIbX21+yeddJJuuukmzZ07t9NrQtdFmKp9jj/+eH3wwQdtvu6SSy7Rww8/LLfb3abrlixZomOOOUbV1dWNnv/Od76j9957TxkZGW2uCdbhhzYAAAAAwOi3r9Q2x4pmxxxSlq4vvpxizYK5efLedJs1cwHods5c8Wv9q/Bju8vokh6a9CtdMfwsu8sAAABAF2JGIlJJscziAzKLimoea75KS6SqqlhQKhq1u1QAAHoXw6jppFQXYDKSwkyuBvuxgJO7rgNTPOBUt99oCMrtTppDLpcMh8PuXwEAQBO4L9cehKnQrAceeEC//vWvFQgEGoSU6qs9P23aNH311VdtDlG0Vzgc1kMPPaQ//OEP2rdvX7Ohqvvuu08TJkxISV3oWghTtc+mTZt0yCGHyO/3t/nao446Sq+88or69u3bqvEbNmzQnDlzVFhY2Oj52bNn66233lJ2dnaba4G1+KENAAAAAPC9D+/We+H/bXaMN2Jo/6IZcpvWvEHr+d2fZKSnWzIXgO7lL9ue1S83PmB3GV3SRUPm659Tfmt3GQAAAGgF0zSlyspYuKm4KP6lkmKZgYBkSIbbI3k8ktsjw1O3LU/NvtsTuzHa45XhcsksK42FpGoDU8VFUmkJQSkAAJqSFEKqCS8l7rs9DcNM9fZjIajkrk6Gq154yV0/GOWWHI5W33cFAOhduC/XHi67C0DXFI1Gddlll+m///u/Gw1R1f+DaBiGDMOQaZr65ptv9N///d+67LLLUlKry+XSz372M1188cX63e9+pwceeECRSKRBqOrtt9/WwQcfrGuvvVZ33HGHvF5vSuoDurNx48bpkUce0Y9//OM2X/vxxx/r8MMP1xtvvKHJkyc3O3bHjh068cQTmwxSzZ8/Xy+++KLSuWEKAAAAAIAuYVrWOL1X3PyYgNPU+vRqTfVb8/95c9d2GROaf40BQM90ZO40u0voUpyGU9Myx+qInCma1/c7dpcDAADQI5jBQF24qbhIZkmxzOoqKWrWhZg87rqQU23AqTb8VBuAcrtlVvpjc9WGm2rDU0VFUjDQfB0per4AANgqMWAUDyK5Yv++JnZZcrvruiy5Eo+56ro1xcNMyeGm5BBUzfxOF2EmAAAQR2cqNBAKhXTeeefptddek2maDUJJTakNUxmGoaOOOkoffvhhKsptYNWqVbrooou0YsWKRgNghmFo8uTJevrpp3XooYfaUiNSj85UHXPDDTfonnvuade12dnZeuGFFzRv3rxGz+/atUtHH320tmzZ0uj5q6++Wvfff7+cTme71of1SMADAAAAAF7eulrnbPpJi+OeWD1aP9zTz5I1jdFj5b78Wt7sBnqhYDSknA9PUHU0aHcpthieNlBHZB+kI3Km6IicKZqZPUnpzjS7ywIAAEgJMxKRSkvqOjlVVUrRaOwG6oQgk5HYscmTcM7tkeF0ygwFZRYVJYebar+KDkj+CrufKgAAqedw1AWUErsrxQNLCV2aEoNNiUGohO14qCnhuvrn5XTJcDjsfuYAAHQp3JdrD8JUSGKaps477zy9/PLLktTqIFX9sT6fT36/v/MKbUE4HNavf/1r3XvvvQ3+cql9Lh6PR/fdd5+uuOIKO0pEihGm6phoNKpzzjlHr7zySruudzqd+stf/qLrrrsu6fj27dt13HHHNRqk8nq9+vvf/65LLrmkXWui8/BDGwAAAACgsKpSAz45vsVx128fpD9tHG7Zuq7zL5Vz6nTL5gPQfRz11ZVaXLLC7jI6XaYzXYdlT9YROXXhqcFea0KpAAAAVjKjUamiPBZGqqyUIuHYTddNdW1yuRu9cdqMRKSyUpkJ3ZtiIaeark6lJVI02rFinU4pEunYHAAAdLbmQkrxTkyemg5OCcGnJkJNSR2d3LHrjPrn+XBrAAC6BO7LtYfL7gLQtdxwww16+eWX2xSiqpXYxaq6uloVFRXKzMzslDpb4nK59Je//EWHHXaYLrroIoVCofi52hqDwaCuvvpqrVu3rtHQFYA6DodDzz77rObPn6/333+/zddHIhFdf/31Wrt2rR588EG5XC5t2LBBJ5xwgnbu3Nlg/Pjx4/Xiiy/qkEMOsaB6AAAAAABgtf6+dOVGhqrEmd/suFWZlZauG174mhyTpsQ+3RRAyiW+D5BqR+Ye3OPCVA45NCVzdCw0lT1FR+QcpIMyR8tpcCMTAACwnxkOSSUlMkuKY+GmkiKZxcWx/ZIiqaS47QGlhG5ShtsjMxKOzdPRsFRLCFIBANrCMOoCR25PvU5MnoSAUs1+vc5NjQehPPHt2Pl6HZ+cLu5fBAAASDHecUbcSy+9pPvuu69dQaqu6gc/+IH69u2r0047TcFgUFLdm72GYcg0TT3wwAMqKCjQ888/LwftY4Emeb1evf766zr55JP10UcftWuORx99VBs3btTNN9+sH/7whyosLGww5vzzz9eDDz6orKysjpYMAAAAAAA60QjnOJWohTBVlrVhKh3Yr8jni+Wa23IHcgAdVxGu1Oelq/Vx8XItLlmp0nCFln/nKVtqOTJ3mi3rWmmIt19CcGqKZmVPUqYr3e6yAABAF2OGQjJLi6XimhBTabFUXR0LHHlqbsT2eGM3aTfWBcrtqekO5ZYcDikQkBmolgIBKVAtMxCIHQvG9pPPB2SWl8U6QlWUS1bfNxIKxb4q/er+d6QAAFIqIbwUDyvFA0ruun8X6203GFsbZIqHperveySnk2ATAABAL2CYPSExgw7buXOnpk6dqoqKCkntC1IlhrB8Pp/8fr+lNXbEyy+/rPPOOy++n/jpmbXb5557rp599ln+I9RDLVq0SMce2/JNNiNHjtS2bds6v6BurLKyUqeccoo+/PBDS+ft27evHn74YZ199tmWzgvr0U4UAAAAACBJP/jkcb1Q9Y8Wx21aPF3DAh7rFvb55PnVrTIyMqybE4AkaX+wRJ+UrNTi4pX6uGSFlpdvUMRM/hT/vUe/qQGePimvrShUqr6L5qV83fbyObyalT1ZR+QcpCNypug7OVM1LG2A3WUBAACbmaYpVVbGujyVxLo8qbgooftTcSzEBABAV+dwxMJKNQFew+WWPDVhJFfbA0xGwrnk/VgHJ4MPSQcAAD0Y9+Xag85UkCRde+21Ki8vj3draq/aa8ePH29VaZY4++yz9f/+3//THXfc0aDzVu1zfvHFF5WTk6OHH37YzlKBLi89PV0LFy7UOeecozfeeMOSOc866yz9/e9/18CBAy2Zrycg2AkAAAAA6Opm5IzVC1Utj/sor0w/2tPPuoWrqhR5799ync4HsgAdtTdQpI+Kl2lR8XJ9VLxca/1bW7xmcfFKLRiY+u5wfdw5OihjdKtqtMNo3xDNzpka+8o9WNMyx8nt4G04AAC6K9M0Yx2UggEpGIx1cQoG620HZNY8Jp0LBKVQzblAzfWhmnGBgBQO2/30AAA9VW2gyVUTVqrZbnN4qcVuTh4ZTqfdzxYAAADoEN7Fgd5991299tprHQ5S1TIMQ/Pnz7egMmvddttt+vDDD/Xpp58mPdfazlSmaeqxxx7TQQcdpGuvvdbmaoGuLS0tTa+++qouvvhiPfPMMx2a66c//akeeeQRiyoDAAAAAACpMnfAOGlPy+OeH3TA2jCVpMgXn8gxe64cA/hgFqAt9gQO6KPi5VpUvEyLipdpnX97m+dYXLLCljCVJB2ZO61LhKnSHB7Nyp5cE5yaqtk5B2uQt6/dZQEA0OuYpilFwrEgU6AmvFQTWjIDCSGnUFBmoPEAVPJ23RiFQhKf9gwAsIJh1IWUPJ66kFJtR6d4SMkjw+NpONbjSQg4JZ6v7QZVc8zl5oN7AQAAgDYgTAX9/ve/7/Acif8Rc7vduvjiizs8p9UMw9A///lPTZs2TYFAoEF4rHb/l7/8pQ455BAdddRRNlYLdH0ul0tPPfWUhg0bpj/96U/tnuexxx7TgAEDdNttt8lBS24AAAAAALqNWf2GyBVNU9hR3ey4d/uWaUWmX4dUZFi3eDSqyMLX5Ljop9bNCfRAuwP7Y+Gpolh4an3ljg7Pubh4pQWVtc+RuQfrsfzXUr7uyLRBmp1zcE1waqqmZ42Xx+FOeR0AAHRXZiTSRCen2v3GQk6Nd4KKB6ACgVhwKhq1++kBALqz2u5N7iZCTo1sNzo2HniqCTklhp5cLkJOAAAAQBdEmKqX+/zzzxt0auoIwzD0i1/8QuPGjbOgOuuNGzdO1157re66666k/6TWdqcyDEPhcFgXXnihVq5cqezsbBurBbo+wzD0xz/+USNHjtTPfvYzhcPhNs9hmqbuuOMOLV26VM8++6xyc3OtLxQAAAAAAFjO7XRqoMYoX2ubH2hIN4/fpYXLJ1q6fvTb1YpuWi/HOGvnBbqz/Op9NZ2nluuj4uXaYEF4qr4V5RtVFvYr22VhQLKVjsyd1ulreB0ezcyaGO84NTtnqoak9e/0dQEAsJsZjca6MQUDdcGmmm5OZk23JwUSgk31uj0l7yd2fApIkYjdTw8A0N243Akhp7rAU6x7kzveqal+N6eGnZ1q990J+zXz0ckJAAAA6NUM04oEDbqtn/zkJ/rHP/7RpjBVU/+JNE1TP/rRj/TUU0916f9olpWVafjw4aqoqJCkRrtTGYah888/X08++aRNVcJqixYt0rHHHtviuJEjR2rbtm2dX1AP9M477+jcc89VaWlpu+cYP368Xn/9dU2aNMnCyrqnrvz3aGvxIwYAAAAA9HxHf/BHfRx5vVVj/3fFeM3fn2vp+sbgoXJf+ysZdLtGL7UrHp5apkVFy7SpaldK1v33ofdoXr/ZKVkrkWmaGvzxKdobLLJszuFpAzU7J9ZxanbuwToka7y8Do9l8wMAYCXTNKVwqC7k1Ggnp8RuT7X7jXV5qt2uDUeF7H56AIDuwumUPN6ajkzeWDApcd8d2zdqHuu6N3nrAlK1nZxqHo2asFO8kxOv9QAAAKAXae09w9yXay06U/VioVBIL774Yot/+Bo7X/8P4sCBA3XjjTfquuuu6/IBgOzsbF188cX661//2qDW2iCVaZp6+umndfnll2v27NS/IQx0RyeccILOPvts/eMf/2j3HBs3btQRRxyhF154QfPmzbOwOgAAAAAA0BmmZozTx2WtG3vT+J066UCOXKZ1rx+au/MVXbpEzsN4DQ+9w87qvVpUtCweoNpclW9LHYtLVtoSpjIMQ0fmTtMr+xa163q34dLM7Ek1walY56lhaQOsLRIA0OvFAk/h5GBTKNblKTH8VL+zU3xcsPZ4TbenhA5RCgUlbpoBALSkfmcmT0JoyVO3b7jrHU8Ym7jfIPjkdNr9DAEAAACgwwhT9WKffPKJysvLm+xKlRg0Sjyfl5en0aNHa/To0TrkkEM0Z84czZ07V45u9Ikgl112mf761782O8Y0TV177bX66quvUlQV0H3t27dPP/zhD/X+++93eK6ysjKdcsopuv/++3X11VdbUB0AAAAAAOgsR/Qdq7+3Mky1IaNajw7dp6t2DbS0hvDbb8oxbYYMr9fSeYGuYEfVnljXqeJl+qh4hbbYFJ6q7+PiFbat3ZYwVR93tr6bc7COzJ2mI3OnaVb2JPmcaZ1bIACgWzBNU4qEEzo01YacGuvqlNj9qbFOUPU7PgUIPAEAmmYYyaGleEgpuauTPLX7TQSamghIyeWmqxMAAAAAtAJhql7s7bffbvJcbZDKNE0NHDhQCxYs0Omnn66DDz5YgwYNSlWJnWbq1KmaMGGCNm7c2CBMltidatmyZXr99dd12mmn2Vgt0LUtWbJECxYsUH6+dTdyRCIRXXPNNdq0aZPuueeeLt/xDgAAAACA3uqYgWOlra0ff8eYfP3Hnr7KC1v40nR5mSIfvSfXifOtmxOwyd5AkT4sXqoPipbqg6Kvbes81ZIvS9eqOhJQmjP1IcYjc6c1eW6cb5iOzJ2mObnTdWTuNE3MGCGHwU2EANCdmYkdnkIJwaWEzk1JIadAUGYo0HjAKT6uZj8atfvpAQC6IoejVR2aErs6xc95PJLHK6M2EFXzaCQEpORycw8EAAAAAHQBhKl6sS+//LLBscQQVUZGhm6++Wb94he/kLcHfqrr8ccfrw0bNjT7AoVpmvrzn/9MmApowhNPPKGrrrpKgUAg6bjL5dLdd9+tp59+WkuXLm33/Pfdd592796tp556Sh6Pp6PlAgAAAAAAi43IylFmZIAqnPtaNb7IE9EfRxforo0jLK0j8vEHch7+XRm5eZbOC3S2klC5FhUvqwlPLdUa/xa7S2qVoBnSl2VrdVTeoSlf+9CsCUpzeBQxo5qZPUlH5sY6T303Z5oGevukvB4AgGRGIo12bkru8tTCdigoBRI6PtUGpyIRu58eAKCrcTob79ZUL+Bk1ASb5HHX7Ndse7x14xq7zsXtdAAAAADQG/C/v15s5cqVSUGixCDVoEGDtHDhQh1yyCE2Vdf5vvvd7+qhhx5q9Fxid6rPPvtMK1as6NG/FkBbmaap3/zmN7rrrrsanEtLS9NLL72kU045RT/96U916aWX6rnnnmv3Wi+88IKKi4v16quvKj09vSNlAwAAAACATjDMMVbr1HKYKj3cT3mhsVqcM0b5ngINDVZaV0QopPDbb8h93vnWzQl0An+kSp8Ur9QHNd2nlpWtV1TdsyvG4uKVtoSpPA63vjj8cU1IHy6fMy3l6wNAdxULPMVCS3XdmhKDTQ3DUMnjavcb6fBE4AkAkMjprBdoSuzelNCtqakgVL3tBtc5nXY/QwAAAABAD0CYqpfat2+fiouL44GhxCBVWlqa3nvvPR100EE2V9m5Jk6c2Oqxzz77LGEqoEYwGNT555+vF198scE5r9erhQsX6thjj5Uk+Xw+Pfvss5o+fbpuvvlmRaPtuzHknXfe0bx587Rw4UJlZmZ2qP7uwjRNu0toUnMd/QAAAAAAvc/EtHFaF/g8vu+MepUXGqO80FjlhcapT3Cc8kJjlRbNjY95o+9KXb77H5bWEV32laJHHi3HMGu7XgEdEYgG9UXJ6nh4aknpGoXMsN1lWWJxyQrb1p6eNd62tQGgM5nRaL0OTQnBpvqdm2qDUYG6LlCxoFRNyClQ2/Gp5ny4Z/z7AwDoIMOQcvNkZGbFwklOlwy3S3K6Yvsut+RyxbozuVz19t2Nh5vqB6YIOwEAAAAAugHCVL1Ufn5+g2O1oarbbrutxwepJGnkyJEtjqkNm73wwguNduABehu/368zzjhD7733XoNzDodDzzzzTDxIlejXv/61Jk2apB/96Efy+/3tWnvx4sWaP3++/v3vf9OhCgAAAACALuSkPrO1bZ2rJjQ1TlnhoXKo+RunVmRO00bfWI2v2mxpLeE3XpX78mv5IBDYJhwNa1n5en1QFAtPfVKyUlXRgN1ldYpPS75ROBqWy8FbTQB6DzMalcKhhE5NsUBT/W0FAzJDoeQgVG3IKTHwVL/7Uzhk91MEAPQEWdky8vrI6NNXRl5fGX3qtpWbR9gJAAAAAAARpuq1CgoK4tuJNxZkZ2fr6quvtqOklMvKymr2fGLHrl27dmnjxo0aP55Pu0Tv5ff7dfLJJ+vjjz9u9Pzdd9+ts88+u8nrTz/9dC1evFinnnpqo4HO1vj44491zjnn6LXXXpPLxT9hAAAAAAB0BacOOVRfLTm0bRcZhl7uf6Zu2nG3pbWYWzcrumaVnFOnWzov0JSoGdXqii36oOhrfVC0VB+VLFdZuH0fJtTdVEQqtbJik2ZmT7K7FACIazrsFJAZrAs3xQNNjQahEsNPyaEohQg7AQA6wOOpCTX1kfJij4lf8ngS/i2q+fcnFEr+tynx37BQKNZZKj1dSgxOuT12P1MAAAAAALo87kTvpSoqKpL2a4ND5513Xq/p+OLxtO3Fo48//pgwFXqtQCCgU089tckg1emnn66f//znLc5z6KGHasmSJfr+97+vb775pl21LFy4UFdffbUeeeSRdl0PAAAAAACsNShXcjqkSLRt1+1IG6Evsg7Td8q/srSe8DNPKJyTW3MzWl8ZeXkJ232knFwZfEgL2sk0TW2q3KUPimPhqQ+LlqkwVGx3WbZZXLyCMBWANjGj0diN36GErkw1N4sndmtq0L0pIdykUKjhdfEbzAk7AQDaweGQkoJNdUEn+XyNBpoaDTzVnnM6JW9a3Xy1XaHS01vupOz2SBkS/ZYBAAAAAOhcvGPcS1VVVTV6fM6cOSmuxD7l5eVtGr9s2TJdeumlnVQN0HWZpqkf/vCH+vDDDxs9P3jwYD3++OOtnm/o0KFavHixzjzzzCbnbMmjjz6qww8/nD+TAAAAAAB0AS6HNDhX2lXU9mtf73eKZlSskMe08MZn05RKimWWFMvcurnhecOQsrJlZOfIyM6WsnNkZOXIyM6JbdceT8+Q4XBYVxe6rcJgsd4v+lrvHfhK7xZ9pR3Ve+wuqcv4uGSFrh/5A7vLAGCRpK5OoVDsBvHELhihUPxm8dh+UArW3lweqNkONNPlKRibHwCAtsjKTggk1QScMjKlcLiRgFOo7t+kUL1/hwwjFnDKrfnAjT4JH7qRncP//wAAAAAA6GUIU/VS0WjjHxM7c+bMFFdin9LS0jaN37hxYydVAnRt/+///T+98sorTZ6///771a9fvzbNmZOTo7feekvnn3++XnzxxXbVdd111+mYY47R2LFj23U9AAAAAACwzvC89oWpit15ejfvOM0vetv6oppimlJZqcyyUpnNjXM6E0JXObHtzCwZWVlSZlbNdnZs2+NJVfWwwTXr/qIX975vdxld0uLilTJNs+VP1wfQIbFuTsHkrhihxNBTwg3k4VC9G8qDdZ2gQkGZtTeX1xwza7s5hUIEnQAAbZOZVRdMyu0jZWVJkXBduDaha1OjQdtQUIqaksdTN09iV+E+sXkNt9vuZwoAAAAAAHogwlS9VGZmZqPH+/fvn+JK7LN9+/ZWjTMMQ6ZpasuWLZ1cEdD1vPHGG/rjH//Y5PnZs2frnHPOadfcHo9Hzz33nLKzs9vU2aqW3+/XpZdeqkWLFrVrfQAAAAAAYJ1hfSQ10gSqNd7tc4LmlH6unEiZpTV1WCRS1+GqpbEer5SVJSMjsy5gVRu8ysiUkZEhpdc+Zshw8dJ8d/K9PocTpkpgyNDBmWN1VN4hmps7XREzIpfB72n0TmYk0njIKSm0FEy4ibwuyBTv6lQbcqofjqrt4hQMxv5NAgAglRwOKTcvFnLK7SMjr+YxN0/K6yMjN1eGmw+VAAAAAAAA3RfvbvVSWVlZjR7Py8tLcSX2Wb58eZvGl5SUdE4hQBd14MABXXzxxc2Oueuuuzq0hsPh0GOPPaasrCzde++9bb7+o48+0gsvvKDzzjuvQ3UAAAAAAICOGd6n/dcGHF691m++Ltj7nHUFpVowIB0IyDywv+XglSR5vbGQVXqGjIxMKSNDRnpGzWOmlJ4uIz1d8qXL8KVLPp/kTZPhcHT2M0EjTuh7mN0l2MplOHVY9mTNzTtER+Ueou/mHqw8d7bdZQFJTNOUErs3hUIyw+G6/XA4FlYKBaVwuOZ8KLkjUygUGxOuO2Y2dj7+FYytCQCAlZzOmhBTn5puTXnxrk1K89UL8NZ0eQrWBXvrug7WBHPNaOzDHzxeGV5v7P8i3rSa7TTJ6623HXuU20P3UQAAAAAA0KMRpuqlmgpThcNhOZ3OFFdjj6+//rpN4/1+fydVAnRNN998s/bv39/k+RkzZmjOnDmWrHXPPffIMAzdc889bb721ltv1dlnn91r/u4CAAAAAKArGtaBMJUkfZF9hI4t+VjDA/nWFNTVBQJSICCz6EDrwleSZBixUFVCwMrwpceCV76a4FVaWuwmyDRfbDv+mBa7eZIwVruM8g3WON8wbaraZXcpKeF1eDQ7Z6qOzjtUR+cdqiNypijdmWZ3WehGzEhEioSlULguhFQvuFQXUgrXdWWqCTnFxgeTr68XcmpwLBSSzFb/jQoAQOo4HJLbI3k8MjxeyeuJ/WzuS6/p8JRX95XXJ9bllp/bAQAAAAAAOh1hql5q1KhRjR6vqKiQ1+tNbTE2CIfDevPNN9v0SUomb8KhF1m+fLkef/zxZsdcddVVlq75l7/8RZFIRPfff3+brtuwYYP+93//V+eee66l9QAAAAAAgNbL8UmZaVJFdfuuNw2H/rf/mbp+19+sLawnMU2pslKqrIwHsNr0iqVhxD6RPs0nw1cTtKr91HlPzQ2dNY/xGz09ntin03s8sRtAvd664x6v5Hb3mk+r/17fw7VpV88MU6U5PPpu7sE6Jm+Gjs47VIdnH6Q0Z89/n6CnMU0zFkYK1wSQwmGZtYGmSE1IKRKOdWuq/ao9VvOohHNmzRy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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plot Figure EC.4(b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx, PrA, label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx, PrB, label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx, PrR, label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Socially Optimal Prices\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3c621bc",
   "metadata": {},
   "source": [
    "# Figure EC.5 Revenue-Maximizing Prices Under CUE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "0cf83cb7",
   "metadata": {},
   "outputs": [],
   "source": [
    "#parameters\n",
    "\n",
    "mu = 0.5\n",
    "t = 0.3\n",
    "v = 1\n",
    "c = 0.1\n",
    "\n",
    "def WA(L,x1,x2,x3):\n",
    "    return (L*(x1 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2) + \n",
    "     L**3*x1**2*x3 + \n",
    "     L**2*mu*(x1**2 + 2*x1*(x2 - x3) + x2*(x2 + x3))))/(mu*(mu - \n",
    "     L*x1)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "def WB(L,x1,x2,x3):\n",
    "    return (L*(x2 + x3)*(x1 + x2 + x3)*(4*mu**3 - 4*L*mu**2*(x1 + x2)+ \n",
    "     L**3*x2**2*x3 + \n",
    "     L**2*mu*(x1**2 + x2*(x2 - 2*x3) + x1*(2*x2 + x3))))/(mu*(mu - \n",
    "     L*x2)*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))+1/mu\n",
    "def WR(L,x1,x2,x3):\n",
    "    return -((L**2*(-2*mu + L*(x1 + x2))*(x1 + x3)*(x2 + x3)*(x1 + x2 + \n",
    "       x3))/(mu*(2*mu - L*(x1 + x2 + x3))*(2*mu**2*(x1 + x2 + 2*x3) - \n",
    "       L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) - \n",
    "       L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3)))))+1/mu\n",
    "\n",
    "def PA(L,x1,x2,x3):\n",
    "    return -(((mu - L*x1)*(x2 + x3)*(2*mu + \n",
    "       L*(x1 - x2 + x3)))/(-2*mu**2*(x1 + x2 + 2*x3) + \n",
    "     L**2*x3*(x1**2 + x1*x3 + x2*(x2 + x3)) + \n",
    "     L*mu*(x1**2 + x2**2 + x2*x3 - 2*x3**2 + x1*(2*x2 + x3))))\n",
    "def SW(L,x1,x2,x3):\n",
    "    return x1*(v-0.5*t*x1-c*WA(L,x1,x2,x3))+x2*(v-0.5*t*x2-c*WB(L,x1,x2,x3))+x3*(v-t*PA(L,x1,x2,x3)-c*WR(L,x1,x2,x3)-t*(1-2*PA(L,x1,x2,x3))*(x2+0.5*x3))\n",
    "\n",
    "def PriceA(x1,x2,x3,l):\n",
    "    return v-t*x1-c*WA(l,x1,x2,x3)\n",
    "\n",
    "def UB(x1,x2,x3,l):\n",
    "    return v-t*x2-c*WB(l,x1,x2,x3)\n",
    "\n",
    "def UR23(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2+x3)\n",
    "def UR2(x1,x2,x3,l):\n",
    "    return v-t*PA(l,x1,x2,x3)-c*WR(l,x1,x2,x3)-t*(1-2*PA(l,x1,x2,x3))*(x2)\n",
    "\n",
    "def PriceR(x1,x2,x3,l):\n",
    "    return UR23(x1,x2,x3,l)\n",
    "\n",
    "def PriceB(x1,x2,x3,l):\n",
    "    return UB(x1,x2,x3,l)-UR2(x1,x2,x3,l)+UR23(x1,x2,x3,l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "123efd99",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "through = []\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "ProbA=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "eq_through=[]\n",
    "x_sum=[]\n",
    "\n",
    "\n",
    "a= 0.5\n",
    "b= 0.5\n",
    "cc=0\n",
    "\n",
    "\n",
    "\n",
    "xxx=np.arange(0.1,6,0.0001)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -PriceA(x[0], x[1], x[2],L0)*x[0]-PriceB(x[0], x[1], x[2],L0)*x[1]-PriceR(x[0], x[1], x[2],L0)*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    through.append(sum(res.x)*L0)\n",
    "    x_sum.append(sum(res.x))\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "    ProbA.append(PA(L0,a,b,cc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "0e3f47b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19348f380>"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Figure EC.5 (a)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::200], PrA[::200], label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::200], PrB[::200], label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::200], PrR[::200], label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Optimal Solution\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "d9d89259",
   "metadata": {},
   "outputs": [],
   "source": [
    "t=0.9\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "through = []\n",
    "PrA=[]\n",
    "PrB=[]\n",
    "PrR=[]\n",
    "ProbA=[]\n",
    "xeq3=[]\n",
    "xeq1=[]\n",
    "eq_through=[]\n",
    "x_sum=[]\n",
    "\n",
    "\n",
    "a= 0.5\n",
    "b= 0.5\n",
    "cc=0\n",
    "\n",
    "\n",
    "\n",
    "xxx=np.arange(0.1,6,0.0001)\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -PriceA(x[0], x[1], x[2],L0)*x[0]-PriceB(x[0], x[1], x[2],L0)*x[1]-PriceR(x[0], x[1], x[2],L0)*x[2]\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1-x[0] -x[1] - x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 2*mu-L0*(x[0] +x[1] +x[2]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[0]-x[1]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[0]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: 0.5-x[1]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-x[2] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,cc], method='SLSQP', constraints=cons)\n",
    "    #print(res)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    cc = res.x[2]\n",
    "    through.append(sum(res.x)*L0)\n",
    "    x_sum.append(sum(res.x))\n",
    "    PrA.append(PriceA(a,b,cc,L0))\n",
    "    PrB.append(PriceB(a,b,cc,L0))\n",
    "    PrR.append(PriceR(a,b,cc,L0))\n",
    "    ProbA.append(PA(L0,a,b,cc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "f0bbbb8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x19ac37710>"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Figure EC.5 (b)\n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "plt.plot(xxx[::200], PrA[::200], label=r'$P_A$',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx[::200], PrB[::200], label=r'$P_B$',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx[::200], PrR[::200], label=r'$P_R$',color='#f8766d')\n",
    "plt.xlabel(r'$\\Lambda$',fontsize=13)\n",
    "plt.ylabel(r\"Optimal Solution\", fontsize=13)\n",
    "plt.legend(frameon=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5b376109",
   "metadata": {},
   "source": [
    "# Figure EC.7 Social Optimum Within the Proposed Policy Class for n = 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "d5e86b3f",
   "metadata": {},
   "outputs": [],
   "source": [
    "t=1.7\n",
    "v=1\n",
    "c=0.1\n",
    "def PA(x1,x2,x3,x4,x5,x6,l):\n",
    "    return (1.0/3-2*l*x1)/(1-2*l*(x1+2*x2))\n",
    "def WA(x1,x2,x3,x4,x5,x6,l):\n",
    "    return 1.0/(1/3-2*l*x1)+1/(1-2*l*(x1+2*x2+x3+x4+x5+x6))-1/(1-2*l*(x1+2*x2))\n",
    "def WB(x1,x2,x3,x4,x5,x6,l):\n",
    "    return 1.0/(1/3-2*l*x2)+1/(1-2*l*(x1+2*x2+x3+x4+x5+x6))-1/(1-2*l*(x1+2*x2))\n",
    "def WR(x1,x2,x3,x4,x5,x6,l):\n",
    "    return 1/(1-2*l*(x1+2*x2+x3+x4+x5+x6))\n",
    "def T3(x1,x2,x3,x4,x5,x6,l):\n",
    "    return PA(x1,x2,x3,x4,x5,x6,l)*(x1+x3/2)+1/3*(1-PA(x1,x2,x3,x4,x5,x6,l))\n",
    "def T4(x1,x2,x3,x4,x5,x6,l):\n",
    "    return (2*PA(x1,x2,x3,x4,x5,x6,l)-1)*(1/6+x4/2)+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l))\n",
    "def T5(x1,x2,x3,x4,x5,x6,l):\n",
    "    return (2*PA(x1,x2,x3,x4,x5,x6,l)-1)*(1/3-x2-x5/2)+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l))\n",
    "def T6(x1,x2,x3,x4,x5,x6,l):\n",
    "    return PA(x1,x2,x3,x4,x5,x6,l)*(1/3+x2+x6/2)+1/6*(1-PA(x1,x2,x3,x4,x5,x6,l))\n",
    "def UA(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-0.5*t*x1-c*WA(x1,x2,x3,x4,x5,x6,l)\n",
    "def UB(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-0.5*t*x2-c*WB(x1,x2,x3,x4,x5,x6,l)\n",
    "def UR3(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-t*T3(x1,x2,x3,x4,x5,x6,l)-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "def UR4(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-t*T4(x1,x2,x3,x4,x5,x6,l)-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "def UR5(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-t*T5(x1,x2,x3,x4,x5,x6,l)-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "def UR6(x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-t*T6(x1,x2,x3,x4,x5,x6,l)-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "def SW(x1,x2,x3,x4,x5,x6,l):\n",
    "    return x1*UA(x1,x2,x3,x4,x5,x6,l)+2*x2*UB(x1,x2,x3,x4,x5,x6,l)+x3*UR3(x1,x2,x3,x4,x5,x6,l)+x4*UR4(x1,x2,x3,x4,x5,x6,l)+x5*UR5(x1,x2,x3,x4,x5,x6,l)+x6*UR6(x1,x2,x3,x4,x5,x6,l)\n",
    "\n",
    "x1 = []\n",
    "x2 = []\n",
    "x3 = []\n",
    "x4 = []\n",
    "x5 = []\n",
    "x6 = []\n",
    "xsum=[]\n",
    "\n",
    "\n",
    "a=0.056057970181424596\n",
    "b= 0.05603131341688376\n",
    "c= 0.101416609501548\n",
    "d= 0.0\n",
    "e= 0.10145755426043045\n",
    "f= 0.10151210575306384\n",
    "\n",
    "xxx=[0.6]\n",
    "for i in xxx:\n",
    "    L0=i\n",
    "    def obj(x):\n",
    "        return -SW(x[0],x[1],x[2],x[3],x[4],x[5],L0)\n",
    "    cons = ({'type': 'ineq', 'fun': lambda x: 1/2-x[0] -2*x[1] - x[2]-x[3]-x[4]-x[5] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 1-2*L0*(x[0] +2*x[1] +x[2]+x[3] +x[4] +x[5]) },\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0/3-2*L0*x[0] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0/3-2*L0*x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0-2*L0*(x[0]+2*x[1])},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0/6-x[0]-x[2]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0/6-x[1]-x[3]-x[4]},\n",
    "        {'type': 'ineq', 'fun': lambda x: 1.0/6-x[1]-x[5]}, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[0] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[1] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[2] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[3] }, \n",
    "        {'type': 'ineq', 'fun': lambda x: x[4] },\n",
    "        {'type': 'ineq', 'fun': lambda x: x[5] }\n",
    "       )\n",
    "    res = minimize(obj, [a,b,c,d,e,f], method='SLSQP', constraints=cons)\n",
    "    if res.success == False:\n",
    "        print('False when arrival is')\n",
    "        print(i)\n",
    "    x1.append(res.x[0])\n",
    "    a = res.x[0]\n",
    "    x2.append(res.x[1])\n",
    "    b = res.x[1]\n",
    "    x3.append(res.x[2])\n",
    "    c = res.x[2]\n",
    "    x4.append(res.x[3])\n",
    "    d = res.x[3]\n",
    "    x5.append(res.x[4])\n",
    "    e = res.x[4]\n",
    "    x6.append(res.x[5])\n",
    "    f = res.x[5]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "546bf67d",
   "metadata": {},
   "outputs": [],
   "source": [
    "#plot Figure Figure EC.7 (a)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "07618b9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1929f5e20>"
      ]
     },
     "execution_count": 125,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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UUf+5WCSVuXPnlkkQrLwaMmRIfPjhh2W+7mWXXRabbLJJVtcoLi6O8847LxYuXLjOmi222CKuuuqqRNbbfPPN4/e///165+ncuXPMmzcvkfUo32pWjzjxV8n3HfxpxJIVyfcFgKRsuummade++uqr8dprr2VxmvQdeuihkZ/v4xUAKpbFixfH8ccfHz/88EOuR6GC6t27d6xatWqt4926dfvPfzdt2jSOP/74jPr27Nlzg2cDAIDy7rdf3BCHfPS7GL1gbK5HyZnVxavj8e9fjZ1GtYvrJvaORauXblC/52YNjY8WjktoOgAAAIC1uUIMqDC6du0ac+bMWW/NjTfemOiaV1xxxXoff+ONNzbai0J+uftdlSpVYtKkSVFcXJzVX1dffXXWf2/du3eP4cOHr7fmiiuuiJo1aya25qWXXhrVq69727Pvv/8+LrroosTWo3w7fNeILda9KWKpLFkZ8epnyfYEgCQ1bNgwo/pOnTqVix2p69WrF3vttVeuxwCAtK1atSratWsXY8aMyfUoVFCrVq2Khx56aK3jDRo0iN/+9rdrHOvatWtGvQcMGCAYCgBApfb23I/itTmj472FX8QhH10Yp392bUxcOjXXY5W5qyf0jE5f3hzTVyT3/v/y8Q/YWRAAAADIGgE8oEJ48803Y9CgQeutadGiRfz6179OdN0TTjghmjZtut6aq666KmbNmpXouuXdu+++GyNHjlzj2Jlnnhnbb799jiZKzuzZs+Mvf/nLemtq1qwZXbp0SXTdRo0axWmnnbbemueff77c7PRCdlWtEnH6/sn3fevLiB8WJd8XAJKw+eabxxZbbJF2/ezZs+Ooo46K+fPnZ3Gq9Bx44IG5HgEA0rJq1apo3759vP7667kehQps4MCBKW+EcP7550eNGjXWONa2bdvYYYcd0u69cuXKeOSRRzZ4RgAAKI+Kioviignd1zg2cPa7sdvo38Yfv74n5q5cmKPJyt6FTU6OanlVE+05YsGYePmHfybaEwAAAOBnAnhAuVdYWBi///3vS6zLxu5g+fn5ce655663ZvHixXHDDTckvnZ59re//W2Nr/Py8uKaa67J0TTJuvbaa2PhwvX/YKN9+/ZRr169xNfu1KlTiTVXXHFFrF69OvG1KX/2axbRPP0MQloKiyIGfpxsTwBIUqY7yX3++edx2GGHxffff5+lidKz22675XT9XyosLIzCwsIoKirK9SgAlNLq1aujsLAw0c8Ali1bFqeffnq88MILifVk49S9e/e1juXn58fFF1+81vG8vLy48MILM+rfu3dv72MAAKiUnp4xJD5dNH6t46uKC+O+7/pH81Gnx51T+sby1StyMF3Z2qFm07i46amJ971qQo9YVVSYeF8AAAAAATyg3HviiSfi66+/Xm9N9erV4+STT87K+u3bty+xpk+fPjFu3LisrF/ejB49Ot599901jp100kmx++6752ii5IwfPz4ef/zxEuvOPPPMrKx/+OGHl7jry7hx46JPnz5ZWZ/yJS8vov0Byff98JuIb35Ivi8AJKFNmzYZP+fzzz+PAw88MD766KMsTJSe8hDA+/HHH6N79+6x++67R7Vq1aJatWrRuXPnMlt/3rx5cfvtt8c222wTeXl5kZeXl9Z761TGjBkTt99+exx99NHRvHnzqFOnTtSoUSO22mqr+PWvfx0XX3xxDBgwIFasKP8XIq1evTo+/PDDuP/++6Njx47RsmXL2HbbbaNevXpRUFAQm2yySWy11Vax6667xsEHHxznnXde9OjRIz788MMK8furKCZNmhR9+vSJbt26xVFHHRU77rhjNGzYMGrUqBHVqlWLevXqxTbbbBMtW7aMTp06Rc+ePePzzz/P9dhshJYvXx5PPPFEHHTQQVG1atWoVq1aHHHEEYn0nj17dhx++OHx8ssvJ9KPjdeYMWNi1KhRax0/7rjjolmzZimf07lz59hkk03SXmPKlCnxxhtvlHZEAAAol5atXh7XTeq93pqFhYvjygk9YpfRZ8bTM4ZEUXHlvjHFX7brHHWr1k6059dLv4uHp7+UaE8AAACAiIiquR4AYH1WrVq11m5rqRx11FGx6aabZmWGPffcM3bccceYMGHCOmtWr14d1157bbz44otZmaE8SfXnce211+ZgkuTdeOONJd5ZvkGDBtG6deusrF+lSpU46aST4uGHH15v3Q033BAdO3bM6MIlKqYdGv20E94nU5Lt2/+DiKuO+ynkBwDlySmnnBJXX311xs+bNm1atGzZMu67776Md1hJQi5vRjFmzJjo1atXPP3007FkyZIyX//zzz+P+++/P55++ulYtmxZqfsUFRXFM888E927d48PPvggZc3MmTNj5syZ8cknn0SvXr2iQYMG8fvf/z6uvPLKqFGjRqnXzoYPPvggHn744Xj55Zfjhx/Wf/eDn39fERHvvfdePPHEExERUatWrTj11FPjvPPOi8MPPzzyvHnLyIQJE+KJJ56Ip59+OqZMmbLe2oULF8bChQtj6tSpMXLkyP+ER5s3bx5nnnlmdO3aNRo3bpz9obPku+++i6VLl2ald82aNWObbbZZ5+MzZswocZf5pOyyyy4Z1a9atSomTZq0wetuvvnmsfnmm29Qj4kTJ8aDDz4Yjz32WMybN2+DZ/qlYcOGxdlnn12qHWNnzpwZY8aMyeg5W265ZWy55ZYZr5UNS5Ysiddeey3efffd+PTTT2PKlCkxf/78qFKlSjRo0CCaNm0aBx98cLRp0ybatm0b+fnuWViSBx54IOXxbt26rfM5DRo0iHbt2sWTTz6Z9jo9e/aMY489NuP5AACgvLrvu/4xdfmstGq/XT4zzvnixrjn2+firp0ujVYN9s3ydD+54YYbymSdn21WUDeu3a5jXDWhR6J9b5z0SJyz1dGxadVaifYFAAAANm55xcXFxbkeAmBdHn/88ejUqVOJdT179oyuXbtmbY5LL700unfvvt6avLy8+Prrr2PHHXfM2hy59vHHH8f++++/xrEjjzwy3nzzzRxNlJxvvvkmdtxxxygqWv9dBNu1axf9+vXL2hwDBw6M008/vcS6Pn36xPnnn5+1OVhbuhc8J/3WataPEX8eGLE64RtcdjsiYt9myfYEgCQceOCB8eGHH5b6+SeffHL06dMnNttsswSnKl+WL18e/fv3j169esX777+/zrqOHTuWehe69SkqKoqXX3457r///rV2x/5fjz32WJx33nkl9hsxYkT84Q9/yDjg8bNtt902Bg4cGPvtt1+pnp+kt99+O6677rp1hgh/lp+fH1WqVIlVq1al1bdZs2Zx/fXXR8eOHXMeDkn3ffHkyZPXuRNSNn366adxww03xODBgxPrWVBQEB07doybb765xF3Ly6NWrVrF8OHDs9L7sMMOi2HDhq3z8fPOO+8/odJsy/R7sSlTpsR22223wevecMMNceONN2b8vNWrV8fgwYOjZ8+e8dZbb61z/pL+H6/PokWL4oYbboj77ruvxM87kpTp/5NmzZrFt99+W2Ldu+++G61atUqr59ixY+Puu++Ofv36xfLly9Oe4/LLL4+uXbvm/LW2vJo3b140adJkrdD9zjvvHF999dV6/4344IMP4qCDDkp7rfz8/Jg0aVJO/i0BAICk/bByfjQfeXosWl26G+ScsPlv4vYdL4ldazdLdrByYPnqFbHz6DPju+UzE+177XYd45YdLkq0JwAAAMnK1XW5UFp+igyUa/fee29adW3atMnqHEcddVSJNcXFxXH//fdndY5cq8y73917771pXYyW7XOtTZs2UaVKlRLr7rvvvqzOQfnRaNOIwzPbyCEtz38cUVh2118CQNquuOKKDXr+iy++GHvssUe88MILCU1UfkycODGuuOKKaNKkSXTs2HG94btsWLBgQfzjH/+I5s2bxymnnLLe8F06li9fHl27do3DDjus1OG7iIhvv/02DjvssHj99dc3aJ4NMWPGjDjxxBOjTZs2KcN3NWrUiN/+9rfx8ssvx3fffRcrVqyIlStXxty5c+Ott96K3//+91G3bt119p8yZUp07tw59t9///jnP/+Zzd9KhTV37tw499xzY7/99ks0fBcRsXLlynj44Ydj5513jkceeSTR3mWhoKAga73r1KmTtd4VRfXq1TOq//777+Ovf/1rbLvttnHKKafE0KFDE/+B0ZIlS+Lee++NnXfeOe65554yDd/l2tSpU6Ndu3ax9957xxNPPJF2+C7ip9fabt26RYsWLWLixIlZnLLieuSRR1LueHvJJZeU+APSAw88MPbdN/1dO4qKiqJ3794ZzwgAAOXRX795tNThu4iIwXNGxp7vnxNdv7ojZq1Ifuf0XNqkSvW4NQtBubu/fTamLZ+deF8AAABg42UHPKDcGjZsWBx++OEl1jVq1Chmzkz2bmi/tGDBgmjQoEGJF0TVrl07pk2btt4LJyuqzz77LPbZZ581/h+0aNEiRo8encOpkrFo0aLYeuutY/HixSXWfvXVV7HLLllIQ/2PffbZJ60LkN9666044ogjsjoL/5XLO20sWh5x9fMRy1Ym2/ecFhGtd0u2JwBsqKKiovjVr34Vn3/++Qb3ateuXdx///3RqFGjBCbLjdWrV8crr7wSPXv2zDikkdQOeOPGjYsHHnggnnrqqViyZEnaz1vfDnhff/11nHHGGYn8Of+sdu3aMXr06Nhzzz0T65mOV155Jc4777yYO3duysePOuqo6NWrV4k7bc2bNy+uvPLKrAS88vPzo6CgIJo2bRoDBgyIvfbaq9S9yuMOeIMHD44uXbrE7NlrX1RVs2bNOPLII6NNmzbRuHHj2GqrrWLlypUxY8aM+OCDD+KVV16JCRMmZLRehw4donfv3lGjRo2kfgtZtXr16vjoo49i0KBB0bdv35gxY0ape9WpUyd+//vfx/HHHx977713if8PiouLY9myZTF//vz45ptvYvjw4dGrV6/4/vvvSz1D/fr1o127dtG2bdvYddddY8stt4zatWtHtWrVMu61cuXKWLx4cUyZMiVGjBgR9913X0yZMqXE52299dbxxz/+Mdq3bx/bbLNNWmu988470atXr3jxxRejsLAw7RlLswPeTTfdVKpd+ZKSqx3wnn766bj44ovjxx9/THvtdWnUqFEMGTIk9t577w3uVVkUFRXFDjvsEJMnT17jeO3atWP69Omx6aabltijT58+ccEFF6S95hZbbBFTp07NapAYAACybfyS72L3934bhcWrE+lXu0rNuKrZOXF1sw5RNb9qIj1zrai4KA744Pz4ZNG/E+3bcatj4/E9/pJoTwAAAJJjBzwqmsrxSQxQKaV70eGBBx6Y5Uki6tWrF7vttlt8+eWX661bvHhxPPPMM9G1a9esz1TWbr755rXewFx33XU5miZZ/fv3Tyt8V7du3dh5552zPs8hhxySVgDvoYceEsDbSNTZJOL4vSOe/yjZvi99GtFih4gaG/F1bG9+ETF0/S/tVGBH7h7Rdo+yXzfJ8+qiwyOab5FMr0w8+E7EpB/Kft1syNV5QOnl5+dHr169omXLlhv8AVr//v1jyJAhccstt0TXrl0jPz8/oSmzb8aMGdGnT5946KGHYtq0aWW+flFRUbz22mtx//33x9ChQxPtPWLEiDjppJNiwYIFifZdvHhxnHLKKfH555+XWTDq/vvvj8suu2ydu0tdfvnlceedd6bVq0GDBtGnT5844IADomvXronuWFVUVBTLly+PCRMmxH333Vchd3Fbl5tvvjmuv/76tV4vNt9887j++uujS5cu6zwf2rdvH3fffXe88847ce2116bcvTCVp556KqZMmRKDBw+uEDfgqVKlShx00EFx0EEHxd/+9rd44IEH4s9//nOsWLEioz4FBQUxatSojEKueXl5UbNmzahZs2Y0btw4WrZsGZdcckmcffbZpdq18qSTTopHH300GjRokPFzUykoKIgGDRpEgwYNYt99941OnTpFy5Yt1xsO7ty5c9x3331Ru3btEvsvWLAgHn/88XjwwQfj66+/TmTmdGxsP4BatWpV/OEPf4hevXol1nPWrFnRpk2b+PTTT6NJkyaJ9a3IXn311bXCdxER5557blrhu4iI3/72t3H55ZfHwoUL06qfPXt2DBw4MM4666yMZgUAgPLk6ok9EwvfRUQsXr003p73cVy33XmJ9cy1/Lz8uGunS+PwTy5JtO+TM16PP27bPn5VZ6dE+wIAAAAbJwE8oFxatGhRDBo0KK3aX//611me5icHHXRQiQG8iJ8u8q1sAbxx48at9eex9957x3HHHZejiZL12GOPpVW33377pX23hQ1x0EEHRY8ePUqse+WVV2Lp0qVRs2bNrM9E7rXZLeKdcRFz0990pkSLlke8NjbitLJ5GS2Xlq6MmFty/pYKamnCu0Zmsm5S59Wq5H4mn5GFyyrP341cnQdsmEMOOSQuvvjitN4TlWThwoXRrVu3ePTRR+OBBx6Igw8+OIEJs2fEiBHRvXv3ePHFF2PVqlVlvv6PP/4Yjz76aHTv3j0mTZqUeP+BAwfG2WefnXHwJ12TJk2KO+64I2644Yas9P9ft95663pvSvLHP/4x7fDd//rd734XK1eujEsvvXRDxlunXAQ6s6GoqCg6d+4cTzzxxFqPdenSJf7xj3+kHQhp3bp1vP/++9GrV6/405/+FMuXLy/xOf/85z/jyCOPjHfffTdq1aqV8fy5Ur169bj88sujZcuWccQRR2S0q+Upp5ySyA6T9evXjxdeeCGOPvrojHZ223zzzaNv375pBd9Kq27dunHVVVfFOeeck/Lx6667Lm6++eYS+4wZMyYeeOCBePbZZ2PZsmVJj1miG2+8scQd6M4777yUf39+KdPd7MraggUL4pRTTsl4l8B0zJkzJ84666wYNmxYVKlSJfH+FU337t1THu/WrVvaPWrWrBkdO3aM+++/P+3n9OzZUwAPAIAK65/zx8QLs4cn3veunS4tk59bl6VWDfaNEzb/TQyeMzKxnsVRHJePfyCG7nt/pfv/BQAAAJS9inPrd2Cj8uKLL8bSpUvTqt19992zPM1P9tprr7TqRowYETNnzszyNGXrlltuWWv3hWuuuSZH0yTru+++i1GjRqVVW97OtaVLl8arr76a5WkoL6pVjTg1C0G5N7+ImFdJQjYAVC533313HHDAAYn1+9e//hWHHHJInH322eU6gPToo4/G888/n5Pw3dKlS6NZs2Zx2WWXZSV8179//2jfvn3Wwnc/u/3222PGjBlZXaNnz57rDd/tueeecccdd5S6f7du3eLMM88s9fPXpzLsjFVUVBSdOnVaKzxUtWrVeOCBB+Lhhx9OO3z3v7p27RrDhw+PevXqpVX/0UcfxZlnnpnoboVl5cADD4xHH300o+ckuSN89erV4+mnn87oz6lNmzZZDd/9rE6dOimPn3HGGWmF7yJ++lzr0UcfzUn4bmMyffr0aNmyZVbCdz8bOXJkpdo1tLTGjx+fckfc1q1bx6677ppRr0xvXDZy5Mj44osvMnoOAACUB8XFP4W/knb2lkfFfpvuknjf8uD2HS+JKnnJ3gDl7Xkfxxtz30+0JwAAALBxEsADyqUXXngh7drddtsti5P81957751WXVFRUdq791UEEyZMiH79+q1xLC8vL95///146qmnYuzYsTm5ODgpL774Ytq1ZXWu7brrrlFQUJBW7fPPP5/laShPDmwese3myfZctTrihX8l2xMAklBQUBADBw6MJk2aJNr3mWeeiZ133jmuv/76WLy4/KXQzz///KhXr16cddZZ8fDDD8fQoUP/sytes2bNsrp2zZo1o3Xr1hERUatWrTjooIPizDPPjOOOOy4aNWq0Qb1ffvnlOPvss2P16jW39qxatWq0bds27r///njvvfdi5syZsWLFipgzZ058/vnn0b1792jRokVGay1btix69eq1QfOuz/Dhw+MPf/jDemv69OkT1apV26B1evToEZtvnvCbv4gN/rMsDy677LJ48skn1zr+xBNPZLQTUyoHHHBADBkyJKpXr55W/SuvvBK33377Bq2ZK+3atYsTTzwx7fqkw2Rbb711/PnPf067fosttkh0/XX57rvv1jq2+eabR+/evdPu0alTp6hdu3acfPLJ0aNHj3j99ddj5MiR8eijjyayiyAR33zzTbRs2XKtYFbDhg3jggsuiOeffz4mTJgQixYtihUrVsSMGTPijTfeiIsuuijjIOfNN9+c9fB4edejR4+UAe7S7Na6yy67xOGHH57Rc3r27JnxOgAAkGv9Z70dH/44LtGe1fML4pYdLky0Z3mya+1m0WXrExLve8X47lFYVJh4XwAAAGDjIoAHlDvLly+PN998M63a/Pz8aN68eZYn+kkm4avBgwdncZKydeutt651kWxxcXHce++9ce6558bee+8dtWrVikMOOST+8pe/xDvvvBPLly/P0bSZe+mll9Ku3XHHHbM4yX9Vq1Ytdthhh7RqX3/99Sgs9MOCjUV+XkT75DYC+o/REyK+m5t8XwDYUE2aNIm33nor8dDF0qVL429/+1s0b948evXqVa7eT7Vs2TJ++OGHeOaZZ6JLly7Rpk2baNmyZVxyySXx6aefZj2Ed/3118fLL78cc+bMiffeey+effbZeOWVV2Ly5MlxySWXlKrnu+++G+3atVvj/3OdOnXiqquuimnTpsWQIUPi0ksvjYMOOigaNWoUBQUFsdlmm8Uee+wRl1xySYwePToefvjhqFmzZtpr9u7dOythiQULFsSZZ5653nPmoIMOSmT3xgYNGsS11167wX0ifrqJSo0aNWKnnXaKCy+s2BdpPf7443H//fevdfwvf/lL/Pa3v01kjQMOOCDuvPPOtOtvuOGGGDNmTCJrl7Vbb7018vPT+4j466+/Tnz9iy66KO0dB+fMmZP4+ql8/PHHax27/vrro379+mn32HbbbWPevHnxwgsvxMUXXxxHH310HHLIIdGpU6f4+OOPE93hdWM0ceLEOOyww2Ly5Mn/ObbzzjvHk08+GdOmTYuHHnooTj/99Nhhhx2idu3aUVBQEFtuuWUcddRR0atXrxg/fnwce+yxaa83derUePrpp7PxW6kQFi9eHI8//vhax7fZZps44YTSXRib6S54ffv2LZc3TgAAgHVZUbQyrp6Q/I0k/rBNu9i2xlaJ9y1PbmzeJWpXSf9zwHR8ueSbePz71xLtCQAAAGx8BPCAcmfkyJGxZMmStGobN268wbsKpKthw4ZRt27dtGpHjRq1VmitIpoyZUr07du3xLpVq1bF6NGj4+abb44jjjgiGjRoEKeddlr069cv7T/LXFi2bFmMHDky7frtttsui9OsKd2w3+LFi+Nf/7J92cZkl60ifrVNsj2LI6LfhxEpbmYPADm38847x9tvvx2NGzdOvPfs2bPj4osvjj322COjnZGzrWrVqimP16tXL66++uqsrr3XXnvFCSecEJtssskax2vUqBH3339/xrtCjx8/Pk477bQ1wnBnn312TJw4Mf7+97+nvRtbly5dMgo/zJ49O955552MZk3H5ZdfHjNnzlxvzXnnnZfYehdffHFau+C1aNEiVq9eHcXFxSl/FRUVxdKlS+Prr7+O3/zmN4nNV9a+/PLLuOiii9Y63rJly7jpppsSXeuSSy6JvffeO63aVatWxWWXXZbo+mVl9913j1NPPTWt2lGjRqXcAWtD1KlTJzp27Jj2+tlWXFwcQ4cOXeNYgwYN4vzzz8+417o+ryooKIi//vWvpZqPn8J3rVq1imnTpkVERPXq1eP222+Pzz//PDp06BAFBQUl9thqq61i8ODB0b59+7TXfeqpp0o9c0X35JNPxo8//rjW8a5du0aVKlVK1fOUU06JrbZK/6LhRYsWpfUZJQAAlBc9pg6MKctnJNpzs2p145pm5ybaszzasvpmcWWzsxPve/2kh2Nx4dLE+wIAAAAbDwE8oNwZNmxY2rXZ3v3hl9INRS1atCg+/fTTLE+TfbfddlupdgNZtmxZDBo0KM4888zYYostomPHjinvIJ9ro0aNipUrV6ZVm5+fH02bNs3yRP+VyW57I0aMyOIklEen7//TbnhJ+ur7iM+nJdsTAJKyxx57xAcffJB2GCZTX3/9dZxyyinxm9/8Jj744IOsrJGU0u40k4T8/Pzo1KlT2vXz5s2L448/PubPnx8REfXr14+XX345+vbtW6pdDU8++eS4+OKL064fMmRIxmusz7hx4+Kxxx4rse6UU05JbM3q1atHly5dSqx77733olevXomtWx4VFRXF+eefn3Jnw7vuuivy8pJ9g5yfnx833nhj2vXDhg2LN954I9EZysof/vCHtOrmzp2blRBc586d06r79ttvs/4a/f7778f333+/xrFOnTpltANnOlq3bh21atVKtOfG4Lvvvosjjjgipk+fHhE/3Shp1KhRceWVV2Z8g678/Px47LHHYvvtt0+rfvjw4TF16tSMZ64MevTosdaxTTbZJK1/n9alatWqGT+/sv87BwBA5TFv1cL42zclf4aUqeu37xz1qtVJvG959Kdtz4qtq5d8U6pMzFg5J+769plEewIAAAAbFwE8oNx59913064tyx3JIiK22Sb9bacqeihq2rRp8fjjj29wn6VLl8aTTz4Z+++/f7Ro0SKef/75xO+YX1qZnGtNmjQps90WIzauc43MbV0v4tCdk+/7/IcRRUXJ9wWAJDRu3DhGjhwZZ5xxRtbWGDVqVLRo0SLOOuus+Pbbb7O2zobYeuutY7PNNsvZ+ocddljatddff31MmDAhIn7aWe/TTz/d4ADhX/7yl3XuEPhLo0eP3qC1fumWW26JohLeLG299dalCheuz1lnnZVW3TXXXBMLFy5MdO3ypGfPninDV6effnoccMABWVnz2GOPjbp166Zdf88992Rljmz7zW9+k3bAOZOdKNO11157xb777ptW7cMPP5z4+v/rueeeW+tYugHBTFSrVi122WWXxPtWdhdddFF89913ERFx0EEHxUcffRT77bdfqfvVqFEjbr311rRqi4uLEw92VwTvvPNOjBs3bq3j7du3T2uH1vX53e9+l9EOemPHji2TnTABAGBD3fLNE7GgcFGiPXeo0SQuapLcTZ/Ku1pVasTfmv8u8b53Tnk6ZqyYk3hfAAAAYOMggAeUK4WFhfGvf/0r7fqy3gGvcePGadcmfbFnWbv99tvT3h0uXe+//360a9cufv3rX5eLi5YyuXO+c43y5qR9I6onnAmdviBi5IRkewJAkmrXrh39+/ePBx98MPHdiH5WXFwczz33XOyyyy7x5z//OZYsWZKVdTZEWe7M/EuZ7NT88/+7ww47LEaMGBHbbrvtBq+/5ZZbxtFHH51W7VdffbXB6/1s3rx5MXDgwBLr9tlnn8TW/Nlee+0VzZs3L7Fu0aJF8dRTTyW+fnmwbNmyuPnmm1M+lo1w1M8KCgrioIMOSrt+6NChMWnSpKzNk03p7m7Zr1+/xD8riEj/z7Ffv36xePHixNePiFi5cuVaAcMWLVrEbrvtlpX1cvlaXlEtW7YsIiKOO+64ePvttxMJpJ966qlpB6c//PDDDV6vounevXvK4926ddvg3k2aNMk4mN+zZ88NXhcAALLpm6XT44Gpzyfe9+87XhwF+WV3s9jyoOPWx8aetUv+TCwTS4uWxw2T+iTaEwAAANh4COAB5cq4ceNi+fLladcncQFnJjIJRX3xxRdZnCS7Zs6cGX36ZO+D53/9619x9NFHx5FHHpnTixM//fTTtGvL87k2d+7cmDlzZhanoTyqWyPi2D2T7/vCvyKWr0q+LwAk6cILL4xPP/00o2BMppYvXx633HJL7LTTTvHMM89kbZ3SaNiwYc7WrlevXkY7Qx955JExZMiQjHYRK8mxxx6bVt3ixYtj2rRpiaw5cODAWLFiRYl1O++chW2KI6JVq1Zp1fXu3Tsr6+daz549Y9asWWsdr1evXrRp0yara2eyu1ZxcXEMGjQoi9Nkz9lnnx0FBQUl1s2fPz8GDx6c+Pq//e1vo3r16iXWLV68OJ599tnE14+IGDx4cMydO3eNY+eff35W1orI7Wt5RXb88cfHCy+8kFgQv1q1amkHu1PtBFeZTZ06NV5++eW1jh900EHx61//OpE1Lr744ozqBwwYED/88EMiawMAQDZcO/HBWFVcmGjPg+vuGadu0SrRnhVBlbwqcddOlybe95Hpg+PLxd8k3hcAAACo/ATwgHIlk93vIiK22mqrLE2SWrp3xI6ImDRpUqxaVTFTLHfddVdGQcjSeuutt2KvvfaKf/zjH7F69eqsr/e/pkyZEvPmzUu7vjyfaxHJ7u5BxdF2z4h6CW/+s3BpxJDPk+0JANmw0047xciRI+Ouu+7K2m54ERHff/99nH322XHYYYeVmwvvkwyzlUa9evXSqmvZsmW8+OKLaYVqMnHwwQenXZvUjSqGDh2aVl22/mzS/T1/8cUX8c03lesCoqKiorj33ntTPnb88cdnFAgtjR122CGj+myE08rC5ptvHscff3xatU8++WTi69evXz9OPvnktGqzdcOgxx57bI2va9WqFe3bt8/KWhG5fy2viI455pgYMGBA4n/v991337TqKtvra0l69eqV8vO6JHa/+1mbNm0yep1duXJlPProo4mtDwAASfpg4ZfRb9Zbife9a6dLIy8vL/G+FUHbzQ6MtpsdmGjPoiiKKyf0SLQnAAAAsHEQwAPKlS+//DKj+kaNGmVpktQaNGiQdm1hYWGMHz8+i9Nkx5w5c+LBBx8ss/WWLl0al19+ebRq1apMd3GrTOdaxMZ3F3Z+Ur1qxCnpb8iRtjc+j1iwNPm+AJC0KlWqxP/93//F559/Hm3bts3qWiNGjIhf/epXce2115bJzSrWp06dOjldv1atWmnVde7cOSvhyN122y2qVKmSVm1Su+SMHj06rbps/dnsvvvuadd+8MEHWZkhV4YOHbrOnQz32WefrK/frFmzjOo//PDDCnszns6dO6dV9/rrr8ecOXNytv6HH34YY8eOTXTtGTNmxBtvvLHGsXbt2kXt2rUTXed/5fq1vCK68sorEw91R0TsuOOOadXNmjUrCguT3cmivFqxYkXKsGujRo3ijDPOSGydvLy8uOiiizJ6Tu/evaOoqCixGQAAIAnFxcVx+fgHEu97RqPW0aLenon3rUju3LFb5EWyAcTX5oyOt+d+lGhPAAAAoPITwAPKlUwDa2Uditpss80yqq+Ioai77747lixZUubrjhw5Mvbdd98YNWpUmaxX3s+1unXrRtWqVdOur4jnGsk4ZIeIJvWT7bmiMOLFzDYkBYCc2n777WPIkCHx7LPPZnXn4lWrVsVtt90We++9d5m9b02lRo0aOVs7ImKTTTbJ6frVqlWLbbbZJq3aJEJCixcvjunTp6dVm61AzS677JJ2bWUL4D3++OPrfCyTYGJpNWzYMKP6FStWxOefV8wtpY8++ui0XkNXrVoVzz77bOLrt2nTJpo2bZpWbdK74D311FNr7fR1/vnnJ7rGL+X6tZz/atKkSVp1RUVFiQW7y7vnnnsu5e/1ggsuiIKCgkTX6tSpU0bvLSZPnrxWYBYAAHLtxR+Gx8gFnyXas1pe1bhth66J9qyI9qqzQ5y39bGJ971iQvcoKnZzDwAAACB9AnhAuTJhwoS0a/Py8mKLLbbI4jRrq1evXkb1U6ZMycoc2TJ//vzo0aNHztafMWNGHH744dG3b9+sr5XJuRZR9gG8iJ9CeOmqaOcaycnPj2h3QPJ9/zk+Yvr85PsCQDadeeaZ8fXXX8ef/vSnjG5mkKnx48fHoYceGtdee21OdsJJ+sL3TGVj96FMbb311mnVLVu2bIPXmjp16gb32FB169ZNe+fBb775JsvTlJ1Vq1bFq6++us7HV69eHWPGjMnqr9Ls1J7pjuvlRZUqVaJDhw5p1T755JOJr5+fn5922LRv376J7kb6y6DnzjvvHIccckhi/VPJ9Ws5/5XJ54vz528c3yin+nywatWqGe9Wl44GDRpE+/btM3pOz549E58DAABKa1VRYVw1Ifn3qJc0PS2a10zvhiFJycvLS+tXWftb899FjfxkP5P8dNH4eHrGkER7AgAAAJVb9q5GAyiFb7/9Nu3aBg0aRLVq1bI4zdpq1qyZUf2sWbOyNEl2TJkyJbp16xaFhYWxcuXKWLx4cSxevDjmzp0bs2bNipkzZ8bs2bOzOsOqVavi3HPPjUWLFkXXrtm7o1+mgbUtt9wyO4OsR82aNWPu3Llp1Va0c41k7dEkYvfGEV+mtzFLWoqLI57/MOKPRyXXEwDKQp06deIf//hHnH/++fHHP/4xhg4dmpV1ioqK4rbbbothw4bFwIEDs7rz3i/lOrRR1t+HpZLu7uQrVqzY4LV+/PHHtGuTWG9dGjVqlFa4rjKFQ957771YtGjROh8/7rjjynCa9JWH0GZpde7cOe64444S6z7++OP46quvYtddd01s7X//+9/x1ltvpVU7f/78GDhwYJx99tkbvO77778fX3311RrHOnfuvMF9S5Lr13L+q3799LeVX7hwYRYnKR8++OCD+Oijj9Y6fsopp0Tjxo2zsubFF18cTzzxRNr1r7/+ekyZMiWaNWuWlXkAACATD01/MSYsTfazgHpV68Sft+uUaM+KrPEmW8T/bXtW3Dz58UT7Xjepd5ze6PCoUSX9XbkBAACAjZcd8IByY8GCBbF06dK06zO5OCYp6e448LPS3Ck/l/bZZ5+45ZZb4vbbb4977rknHn744Xj22WfjzTffjM8++yxmzZoVS5YsiS+++CL69esX1157bbRp0yZq166d6BzFxcVx8cUXx913351o3//1/fffZ1Rf3s+3inaukbx2B0Qkfb/JsdMixmX2VwUAyo3ddtst3nzzzXjxxRdjhx12yNo67733XrRo0SLGjRuXtTV+qUqVKmW2VirZ3F0wXZtuumladStXrtzgtTLZ5XDx4sUbvN66pLtDdmUK4L355pu5HqFUpk9P8M4YZWznnXeOFi1apFWb9C54d911VxQXF6dd//DDDyey7mOPPbbG11WrVo1zzz03kd7rk+vXcv6revXqaf/btmTJkixPk3vdu3dPebxbt25ZW/OAAw6I/fbbL+36oqKieOihh7I2DwAApGvhqsVx46RHEu973XYdY7OC9D4L2lhc2eyc2KIg2Z/ZT10+K+77rn+iPQEAAIDKSwAPKDcyDUSle8FlkjLdAa8yhqJq1qwZu+++e7Rr1y5uueWWGDp0aCxYsCBGjBgRV1xxRWyzzTaJrXX55ZdH3759E+v3vyrb+TZ79uyMLlSk8mnaIOKQHZPv2//DiCKnFgAV2EknnRRffvll3HXXXWkHmDL17bffxiGHHBKffvppVvr/Uq5DG7lePyL9naMyCc+tSybnTTZ3DK9evXpaddncha+sffjhh7keoVSyGcQsC506pXeH/aeffjqKiooSWXPmzJkZf/8/fPjwmDBhwgatu2zZsujXr98ax4477rjYcsstN6hvOsrDayn/le5nMJncPKwi+uGHH+L5559f6/iee+4Zhx56aFbX7tq1a0b1jzzySCJBewAA2BC3T3kq5qxakGjPZptsFd2anp5oz8qgTtVacdP2XRLve+vkJ+KHlZXnhlYAAABA9gjgAeVGphcq5iIQlelOD7NmzcrSJOVLlSpVomXLlnHHHXfE5MmTY8iQIXHYYYdtcN/i4uLo3LlzvPvuuwlM+V9FRUUxZ86ctOvz8/MT3+UvHZmcb6tWrYp58+ZlcZqykZeXV25/VQSn7BdRkPA1nN/NjXh/YrI9AaCsFRQUxP/93//FhAkTomvXrlkJPSxYsCCOOuqo+PrrrxPv/Uu5fm+Sn5/7j5OqVauWVl0SN6nIZDfsTG/0kYl0vz/Ixfcu2fLZZ5/leoRSqegBnfbt26cVRpo6dWpi36/ff//9pQqP9unTZ4PWHTRoUCxcuHCNY+eff/4G9UxXrl/LWVO6we7KHvh66KGHUv5dzObudz8766yzol69emnXz549OwYOHJi9gQAAoARTl8+Ke757LvG+t+5wUWxSJb0bMW1sujQ+MXaptW2iPRetXhp//ebRRHsCAAAAlVNmSRKALPrlBU8lqQgBvIp+1/vSyM/Pj7Zt20bbtm1j2LBhceONN8bw4cNL3W/VqlVx1llnxWeffRaNGjVKZMZFixZldCFu7dq1c3JhXGnOt8022yxL01AR1K8VcdSeEYPHJNt30CcRv94uoqASvnOsWRCxWeW5Rp1fqJneNbRZWTep86pajjZGqVuj8vzdyNV5QPnUsGHD6NmzZ1xyySVx2WWXxdChQxPt/8MPP8QxxxwTn376adZ224vIfQBuYwuNbLXVVlG7du20vr8bP3581uZI9/vLsti5qyzMnDmzxBv1FBYW2kUsCzbddNM47bTT4qmnniqx9sknn4wjjjhig9ZbvHhxPPjgg2scq1u3blqfEz3xxBNx8803px3K/aXHHntsja+33HLLOOaYY0rVK1O5fi1nTekG8FatWpXlSXKnsLBwrb+LERH16tWLc845J+vr16xZMzp27Bj33Xdf2s/p2bNnnHXWWVmcCgAA1u3PE3vH8qJkb9Kx/6a7Rvst2yTaszKpml817tjxkjhxzJWJ9n1w2gtxadMzYqda2yTaFwAAAKhcKuFl1EBFVRECeJle2Feau7dXJq1atYphw4bFO++8ExdeeGFMnFi6bbRmzZoVHTp0iCFDhiRysW9FONcinG+UztF7Rgz/d8SPy5PrOW9JxNAvI47bO7me5UXbPX76BUmqDOfVRa1zPQFk1+677x5vvvlmDB48OP70pz+V+n1qKpMnT44uXbrE888/n1jP8mZjC+Dl5+fHr371qxg5cmSJtV9//XWsXr06K6GwH3/8Ma26nXfeOfG1c2HSpEkl1ixfvjxq1apVBtNsfDp16pRWAG/QoEHRs2fPDfpz6NOnT8yfP/8/X+fl5UW/fv3i2GOPjaKiovU+d9asWTF48OA49dRTM17322+/jXfeeWeNYx07dsz4ZjhUDukGIlevXp3lSXLnxRdfjGnTpq11vHPnzmntipmErl27ZhTAGzlyZHzxxRexxx4V/BswAAAqnE9//DqemvFG4n3v2unSyM9zw5b1OX7z30Sr+vvGsPn/SqxnYfHquHpizxi0998T6wkAAABUPq4mAMqNdC8m/Fnt2mW/LUumF5ouX55gAqYCa926dXz22WdxzTXXxAMPPJDR7nM/Gzp0aDzyyCPRpUuXDZ6nIpxrEc43SqdGQcTJ+0U8OSrZvq9+FtFyp4hNayTbFwBy6YQTToijjjoq7rnnnrj55psT28F6wIAB8fTTT8fZZ5+dSD9y7+CDD04rgLdkyZIYO3Zs7LPPPonPsGjRorTqDjrooMTXzoXp06eXWCOAlz2tWrWK7bbbLiZPnrzeusWLF8egQYOiQ4cOpVqnsLAw7r333jWOHX/88XHUUUdFmzZt4s033yyxR58+fUoVwHviiSfW+nyic+fOGfehckg3OF2ZA3jdu3dPefzggw+OMWPGlNkce+21V4wdOzbt+l69ekWPHj2yOBEAAKypuLg4Lp/wQBRH5j/zXp+TGh4ah9ZP/jOlyiYvLy/u2unS+PUHnRLt+8Ls4fHP+WOiZf1fJdoXAAAAqDwE8IByI9Pdu6pVq5alSdYt04ts7Ej2XzVr1oz77rsvTjvttOjQoUN89913Gfe45ppr4rTTTov69etv0CwV4VyLcL5Rei13+mnHuhkLkuu5fFXE4DERZ7dIricAlAcFBQVx1VVXRYcOHeLyyy+PZ599NpG+V111VZx88snCQZVEu3bt4o477kirdvjw4YkH8BYvXhxz5swpsS4/Pz+OOOKIRNfOle+//77EmoULF8Zmm21WBtNsfPLy8uK8886LG264ocTaJ598stQBvP79+8e33367xrHLL788IiK6dOmSVgBvyJAh8d1338U222yT9rrFxcXxxBNPrHGsZcuWsdNOO6Xdg41TaW4qVRF88cUXMXz48JSPnX766WU8TWaeeuqpuP3223N2Ay0AADY+r895L96Z90miPavkVYnbd7w40Z6V2X6b7hJnb3lUPD1zSKJ9Lx//QLx/QJ+Mb5QLAAAAbBzycz0AwM9WrVqVUX3VqmWfIc40EGVHsrUdeuih8f7778fee++d8XPnzJkTN9988wbPUBHOtQjnG6VXJT/ijP2T7zvsq2RDfQBQnmy99dbxzDPPxNtvv51IAGP69Olx9913JzAZ5cF+++0Xu+yyS1q1L730UuLrf/bZZ2mFPo488sho2LBh4uvnwg8//FBizYwZM8pgko1Xx44d07rg7J133klrx8JU7rrrrjW+3n///ePQQw+NiIiTTjopNt988xJ7FBUVxaOPPprRusOHD49vvvlmjWPnn39+Rj2gMlnX7ncVwaJFi6Jv3765HgMAgI1EYVFhXDEh+ffPFzY+KXautW3ifSuzW3a4MKrnFyTa88Mfx0X/WW8n2hMAAACoPATwgHIj01BULnYlKyoqyqjendFS22qrrWLEiBHRunXrjJ/bu3fvmDdv3gatXxHOtQjnGxtm76YRu2yVbM/VxREDPk62JwCUN61bt46xY8fGtddeu8E3YujRo4ddiiuRn3flKsk///nPUoeR1uWzzz5Lq65r166JrptLy5YtK7FGAC+7tt1227S+by8qKipV+OWtt96KTz/9dI1j//v3rKCgIO2d9R577LGMvod+7LHH1vi6Tp06ccYZZ6T9fKhMFi5cWOEDbL169cr1CAAAbCQe+/7VGLdkcqI961SpGTc0Lx83hSkuLk7rV3mwbY2t4g/btEu879UTesaKopWJ9wUAAAAqPgE8oMLKRSgq0x3JchXcqgg23XTTeP311+PEE0/M6HlLliwp87ty5+rP0fnGhsjLi2h3QPJ9P/02YvzM5PsCQHlSvXr1uOWWW2LkyJHRtGnTUveZNWtW9OvXL8HJyKWOHTvGjjvuWGLd6tWr48EHH0x07ddee63Emv322y/j76/Ks3R2+J40aVIZTLJx69SpU1p1Tz31VMa977zzzjW+3m677eK0005b41iXLl3S6vXdd9/FkCFD0qpdtGhRDBw4cI1jZ555ZtSsWTOt50Nl89hjj8WSJUtyPcYGGTt2bIwaNSrXYwAAUMktLlwaf5n0UOJ9r2rWIbYoaJB4343BNc3Ojc2q1U2055TlM6LH1IElFwIAAAAbHQE8oNzINDy0obtRlMbKlZnd6Uwgav0KCgrimWeeiX322Sej5z3++OMbtG5FONcinG9suGabR7Ronnzffh9GlJObWwJAVh144IHx0UcfxUEHHVTqHv37909wInKpatWqcd9996VV26NHj5g/f34i686aNavEYFF+fn7cf//9lWpX7HR2j/z888/LYJKN26mnnhp165Z8IduXX34Zn3zySdp9x44dG2+++eYaxy677LKoUqXKGsd22223aNGiRVo9+/Tpk1Zd//791wobnX9++dhpAMpacXFx9OzZc63jTZs2jcLCwrR3v8jGr5NOOimj34td8AAAyLa7vn0mZq2cl2jPxtUbxmXbnploz41JvWp14vrtOyfe92/fPBbzVi1MvC8AAABQsQngAeVG9erVM6rPdHewJKRzB/7/VVBQkKVJKo9atWrFyy+/HFtttVXaz5k8eXK89957pV6zIpxrEc43knHKfhFVq5Rcl4nJP0R8NDnZngAQEXHXXXdFXl5eRu8Ns61Ro0bx9ttvR6tWrUr1/LfffrvC7yrDfx1zzDFx6aWXllg3f/78uOmmmxJZ86GHHorCwsL11vzpT3+Kgw8+OJH1yotfBrFSGTt2bBlMsnGrUaNGnHlmehcCPvnkk2n3/eXud/Xr14/OnVNfMJduOG7w4MExa9asEusee+yxNb7efffd48ADD0xrDahs3njjjZgwYcJax7t27ZrW63A2de3aNaP6AQMGxA8//JClaQAA2Nh9v/yHuHPK04n3vWWHC6NmlU0S77sxuajJKbFDjSaJ9lxQuChu+eaJRHsCAAAAFZ8AHlBuZBoeKukCxGxI5w78/2vTTTfN0iSVS5MmTeKll17K6BwYNGhQqderCOdaxMZ5vuXyzuol/aqoNq8TceTuyfcd8HHEqtxkUwHYCMycOTNmzpyZ6zH+o2bNmvHqq6/Gr3/964yfu3z58vjggw+yMBW5cuedd0bLli1LrHvggQdi+PDhG7TWhAkT4rbbbltvTevWrUusqYhq1KhRYs2XX36Z2E6DrFunTp3Sqnv22WfT+v556tSp8dxzz61xrGvXrlGrVq2U9WeeeWbUqVOnxL6rVq2KJ55Y/8VxEyZMiFGjRq1xbF3BP9gYdO/efa1j1atXjwsuuCAH06ypbdu20bx587TrV6xYEY8++mgWJwIAYGN2wzd9YmlRZjdPLcnetXeMc7Y6OtGeG6OC/Grx9x0vTrzvA1Ofj2+WTk+8LwAAAFBxCeAB5ca6LrRal1yEojLdkawyBKLKyv777x/XX3992vUbciFrRTjXIpxvJOe4vSNqZ7bxY4nmLIp4e1yyPQHgf/3rX//K9QhrqFmzZrzwwgvRsGHDjJ9rl67KpXr16vHqq69GixYt1ltXVFQUZ555Znz77belWmfp0qVx3nnnxbJly9ZZs99++8XAgQOjatWqpVqjPNtkk5Lv/l5UVBTvvvtuGUyzcTvwwANjt912K7Huhx9+iNdff73EunvvvXeN77OrV6++3p0la9WqFe3bt09r1j59+qz38V/ufletWrXo0KFDWr2hsvnmm2/ijTfeWOv4mWeeGZtvvnkOJlpTXl5eXHjhhRk9p3fv3lFUVJSliQAA2Fh9vmhiPDr9lcT73rVTt6iSl9udpyuLU7doFQfX3TPRnquKC+PaiQ8m2hMAAACo2ATwgHJjs802y6g+F6Go9V34mErdunWzNEnldNVVV8Vee+2VVu2nn34aixcvLtU6FeFci8jsfMvLyxPAY51qFkScuE/yfV8ZE7E4s40aASBt5XHXuCZNmsR9992X8fP+/e9/Z2EacqlOnTrxxhtvxMknn7zeupkzZ0arVq1i/PjxGfVftGhRHHPMMTF69Oh11rRo0SKGDh0a9erVy6h3RZHu922vvfZalichIv1d8J588sn1Pr5gwYJ4+OGH1zh29tlnx5Zbbrne53Xp0iWt9SdMmLDOG/YUFRWtNd+JJ55YqmA1VAY9evRIGVZbXyC2rHXq1CmqV0//jkKTJ09OGSoEAIANceWEHlEUyd7o4ZjNWkSbzQ5ItOfGLC8vL+7aKfnvZfrNeis+WPhl4n0BAACAikkADyg3Mr2zcqZhuCT8+OOPGdVvscUWWZqkcqpatWrcc889adUWFhbGV199Vap16tSpk9HFO7k414qLizMKGG622WaRn++fddat1S4RWySc0Vy68qcQHgBkw/qCR7l01llnxaGHHprRc+bNm5elacilTTfdNF544YW48847o6CgYJ11U6ZMif333z/69OmT1q48Q4YMiX333TdGjBixzppzzz033n333ahfv36pZq8IGjdunFbdwIEDY8UKd4XItg4dOqS10+LgwYNjwYIF63z8wQcfjEWLFv3n67y8vPi///u/EvseeOCBsccee6Q16y8Dfj978803Y/r06WscO//889PqCZXN0qVL19oRMiLioIMOiv322y8HE6W2+eabxxlnnJHRc3r16pWlaQAA2BgNnfthvDH3/UR75kd+3LHTJYn2JKJFvT3jjEatE+97+fgHori4OPG+AAAAQMXjSn2g3Mg0gPe/F2yVlUwDeFtttVWWJqm8WrduHW3atEmrdtKkSaVeJ5Nd8HJxri1atCijD/Kda5SkapWIM/ZPvu/b4yJmZ/bSCABpGT16dKxatSrXY6R03XXXZVS/cOHCLE1CeXD55ZfHuHHj4tRTT11nzY8//hgXXHBB7LzzznHrrbfG+++/H/Pnz4/CwsKYPXt2jBkzJu6999445JBD4uijj46JEyem7LPFFltE//7944knnsjopiIVUZMmTdKqW7BgQbzyyitZniY948aNW+efXUXXqFGjOOaYY0qsW7FiRfTr1y/lYytXroz7779/jWPHHHNM7LbbbmnNkG5YbuDAgTF//vy1jv8ybNS4ceNo27ZtWj2hsnn66adT/j0pT7vf/axr164Z1b/22mvx7bffZmkaAAA2JquLV8cV47sn3rdz4+Njj9rNE+9LxG07dI1qeSXfQCgTIxd8Fi/+MDzRngAAAEDFJIAHlBuZBohyFYrKhFBU6VxzzTVp1X3zzTelXiOTPxvnGpXFvttG7NAo2Z7bNIhYUZhsTwCI+GlnlvK6C17btm2jWbNmadfbqbjya968edx2220lvi+fOHFiXHfdddGiRYto0KBBVKtWLRo1ahT77LNPXHbZZes85+vWrRs33HBDTJw4MeOdgCqqHXfcMe3af/zjH1mcJH133HFH7LXXXvHkk0/mepSs6Ny5c1p16/r99+3bN2bMmLHGscsvvzzt9Tt06JBW8HT58uXRt2/fNY7Nnz8/XnrppTWOnXfeeVGlSpW014fKpHv3tS8ibtSoUZx++uk5mGb9Dj744Nhrr73Sri8qKorevXtncSIAADYWfWe8EZ8tnpBoz5r5m8Rfm1+QaE/+q3nNJnFJ09MS73vVhJ6xqsgPRAEAAGBj5wowoNyoXbt2NGzYMO36XISiMt25omnTplmapHJr3bp17LTTTiXWbchOIttvv33atYsXL85oN7okONfIhry8iPYHJNNr89oRF7aKuO7EiKYNkukJAL/02muv5XqEdTrllFPSrq1Tp04WJ6E8GD58eBx00EFrhIuaNm26QeHLgoKCOOKII+KRRx6J77//Pm688caN6lzaeuutY4sttkir9r333othw4Zld6ASzJ07N/r37x/Lli2Lr776KqezZMtxxx2X1uc2o0ePXmvH+uLi4rWCkvvuu28cfvjhaa+/2Wabxcknn5xWbZ8+fdb4+plnnokVK1b85+u8vLzo1KlT2mtDZTJixIgYO3bsWscvvPDCKCgoyMFEJct0F7xHHnkkVq5cmaVpAADYGCxdvTyum5j8jR2uaHZ2bFV988T78l9/3q5T1K1aO9GeE5ZOjd7TXki0JwAAAFDxCOAB5Urz5s3Trp07d24WJ0nthx9+yKg+kzv2s6Zzzz23xJrFixeXun8m51pxcXHMnz+/1GuVhnONbGm+RcSvtyv982sWRLQ7IOKW0yMObB6Rn5fcbADwSy+8UH4vajjooIPSrs3kRiNUPP3794+jjjpqje8Zrvp/7N13eJPl28bxM92lZZW9y0bZQ/aSqYAgIBtBhiLLCeIEVFQQcAAyFEFA9hQURFAQQYbsKbRA2Rta6F55//DVnwilSXunadrv5zj4o8n1nPfVQZo0z/XcI0bozJkzun79ulavXq13331XnTp10iOPPKKCBQvKz89P7u7u8vT0VLZs2VS4cGHVqlVLnTp10nvvvacffvhB169f18aNG9W3b19lyZLFiZ+h81StWtXm2uHDhysxMdGB3TzY1KlTFRUVJcm+vl2Jp6enevbsaVPtf3fB++GHH3T06NG7brNn97u/9e/f36a6gwcPateuXf98PHv27Lvub9y4sV1/FwAykvvtfufh4aEBAwY4oRvb9OzZ064h9KtXr2r58uUO7AgAAAAZ3WdnF+lCjH3v1yYnn1eAhhXrbjQT98rllV1vF3/GeO67p2YpLC7l5ycAAAAAAADXxwAegHTFnpOfrl696sBO7u/69et21ZcqVcpBnWR8bdu2Tbbm31evt5e9J9ql9c8bP2twpKdqSO52Pgt0d5NalJfGdpIeqyh5ujumNwAA/i0oKEj79u1zdhv3Zc/zL1t2d4Zrmj59urp163bXa5OPP/5YY8eOlcViUc6cOfXEE09o5MiRWrJkiXbt2qULFy4oPDxc8fHxio2NVVhYmM6dO6cdO3ZoyZIleuedd9SqVatMtdtdUho0aGBz7e7du/Xll186sJukhYWF6bPPPvvn44YNGzqlj7TQt29fm+q+/fbbu3aSHz9+/F33Fy1aVJ06dbJ7/aZNm6p4cduuKPL3LniHDh3Snj177rrP1s8DyGguXrx43wscdOzYUQULFnRCR7bx9/dXjx497Dpm2rRpDuoGAAAAGd3V2Jsae3qe8dz3Sz4nf4/MeZGltDakyFMq5pPfaOb1uFCNDZmbfCEAAAAAAMiwGMADkK48/PDDNtdev349za9ub89QVO7cuZUrVy4HdpOxVaxYUfnzP/iP4v7+/inOt+dnTZKuXLmS4rVSwt4BvHLlyjmoE2REebNJTR6yvf6R4tIHHaWutSV/H8f1BQDA/cyaNcvZLdxXtmzZbK4tX768AzuBs3z++ecaOHDgXa9LX3vtNQ0fPtyJXWUsjz/+uF31w4cP1/Hjxx3UTdLGjRunmzdvSpIqVaqU7GtZV1ahQgXVqFEj2bpTp05p69atkqRdu3Zpy5Ytd93/0ksvycPDw+71LRaL+vTpY1PtwoULFR4efs/ud9mzZ1fHjh3tXhvICKZPn674+Ph7bh8yZIgTurHPwIED7ar/7bffdPjwYQd1AwAAgIzs3ZNf605CpNHMh/2Kq0/B1kYzkTQfd299VMq+1xC2+OzsYp2Numw8FwAAAAAAuAYG8ACkK9WrV7e5NiEhQTdu3HBgN/eyZwiratWqDuwkc3jkkUceeH9qdoSoUqWK3N1t38IrrXfAs+dnzcfHhwE82O2JKlIWrwfXlMorvdlGGtjkr6E9AACcYd68ebp9+7az27hHVFSUTXVeXl6qW7eug7tBWps2bZpeeumlu26rVq2aPvzwQ+c0lEFVrVrVrmG28PBwPfXUU4qIiHBgV3cLCgrSJ5988s/HmWGwy9YBuLlz/7oq/H93v8uePbv69++f4vX79u1r0+v58PBwffvtt/r222/vur179+7y9fVN8fqAq4qJidGMGTPuub1KlSqqX7++EzqyT6VKlVS7dm27jpk6daqDugEAAEBG9WdEiGZc+M547vjSQ+ThZv+FaJByXfI3U41sdlyR1AbRibF6++S9r6sAAAAAAEDmwAAegHTFngE8STpz5oyDOrm/c+fO2VzLAF7qVaxY8YH3Z8+ePcXZWbJksWtoLT3/rFWqVMmuYUJA+msnuzZV7n9f3mzS4KbSG22kUvnStC0AAO4RFhamadOmObuNe9j6fK1+/frKkiWLg7tBWlq1atV9dwoaOXIkz8sNs1gs6t69u13HHD58WB07dlRcXJyDuvqfhIQE9e7dWzExMf/cZm+/rqhbt27y8Ul+a+ylS5fqyJEjWrFixV23DxgwIFUX1ClUqJBatmxpU+1rr72ma9eu3XVbv379Urx2ZvTvn2+4tkWLFt33AlODBg1yQjcp07dvX7vq0+uFHAAAAJB+vR40TQnWBKOZTQKq6/HcdYxmInluFjdNKG1+t+9vL63X3tvHjecCAAAAAID0j8srAUhXcufOrWLFitk87HT69GnVqFHDwV39z4ULF2yuTW73NiSvWLFiD7y/VKlSqcqvUaOGjhw5YlPt6dOnU7WWvc6fP29zLT9rSKmmD0m/HJWuh//1sb+31Laq1Lic5MG54wCAdGTcuHHq16+fcufO7exW/rF3716b6p5++mkHd4K0FBQUpF69eikxMfGu2/39/fXEE084qauMrX///nftMGeL9evXq0ePHpo/f748PT0d1Jk0YsQIbd++/Z+PmzVrlurXqa4gZ86cevLJJ7Vo0aIH1oWFhal9+/Z3/X/x9PTUCy+8kOoe+vfvr7Vr1yZbd+fOnbs+rlSpkt0Xf8qoPDxse2sgMjLSwZ0grUycOPGe2/z9/dWtWzcndJMyXbt21csvv2zzTqfh4eGaNWvWPbvWAgAAAPez5dY+fXdti9FMiyyaUHqoLBaL0VxHGT16tNE6Z2sUUE3t8jQ0+n21yqrhQZO1sdpkl/m+AgAAAAAAMxjAA5DuNGrUSHPnzrWpNiQkxLHN/MuNGzcUFRVlc32DBg0c2E3mkC/fg7fesmcHu/tp1KiR5syZY1NtWv6sSfYN4DVs2NCBnSAj8/SQOtSQZv0mNS8vta4kZfF2dlcAANzr1q1bGjBggJYvX+7sVv6xbt26ZGuyZcumTp06GV/barUarXPU+umB6V6fffbZewZ6JCl//vxyc3Mzuhb+8tBDD+nRRx/Vpk2b7Dpu6dKlCg0N1fLly1O121pSPv/883uGWV5++WXj66RXffr0SXYAT/praPXfunfvrkKFCqV6/SeeeEL58uXTlStX7DouPe1+5+zHcm9v21783bp1yyHrI22tXbtWhw4duuf2Ll26yN/f3wkdpUzWrFnVunVrLVmyxOZjPvvsMw0ZMsTmoVMAAABkTonWRA07Mdl4bs8CLVU1W1njuY7y7rvv2lTnKgN4kjSu9CB9f32b0Z0Nf7m5R+uub1erPHWNZQIAAAAAgPSPM4MApDvNmjWzufa/J3I50smTJ22uLVeuXLLDY0helixZkrzPy8sr1TsLNG/e3ObatPxZk6RTp07ZXNuoUSMHdoKMrmYJaWwnqdMjDN8BANK3FStWaPbs2c5uQ5J07Ngx/f7778nWvfzyy/Lz8zO+fmxsrE118fHxxteWZPOFSRw5qPffHeiSYvJrsGbNGv3666/3ve/kyZM6fPiwsbXSK1t/9iSzX/uUntS1YcMG1axZUwcOHDDWi9Vq1bvvvnvPbkq1atVSq1atjK2T3jVr1kxFihSx+7hXX33VyPoeHh7q1auXXcd4e3urZ8+eRtY3wdmP5T4+PjbVBQcHO2T9f4uLi7OpLj0MgDvq++Fo77///n1v79KlSxp3knodOnSwq/7MmTM2DQwDAAAgc1t8eaP+uH3MaKaPm5fGlBxgNBP2K+tXTAMKtTOeOzxoiuITXfM1IgAAAAAASBkG8ACkO/YM4KXlCY72DGDZ8zkgaQ86sapu3bqpvnJ14cKFVaZMGZtqT548adcOiKlx4cIFRUZG2lRboUIFhj2RKm4WKcD8XAAAAA7x/PPP66effnJ2GzZdCTpXrlwO2w3L1qENe4al7BEdHW1Tna0DFSlh6wCeya/Bf3c7+zer1aoOHTroyJEjxtZLj+z5npr8/jds2NCuC6j8259//qlatWpp1KhRNr/OSsqJEyf06KOP3ncgcOzYsanKdjVubm52D8C1bNlSFStWNNZD//797ap/8sknFRAQYGz91HL2Y3muXLlsqjt69KhdQ2fTp0+Xh4eHAgICFB4ebtMxtj5epIfhN0f+bnOUtWvXaseOHffcniNHDj366KNO6Ch1WrVqZfffBMeMGWPzcwcAAABkPtEJMXojeJrx3JeKdlFR3/zGc2G/USX7Kat70hf/TYmjEac1++IPRjMBAAAAAED6xgAegHSnQIECqlq1qk21aXlyoz0DeG3btnVgJ5lHREREkve1bNnSyBqtW7e2qS4xMVHHjpm96mFS+FkDAAC4v9jYWLVv315btmxxWg/r16/X4sWLk637/PPPlT17dof0cOvWLZvqbt++7ZD1w8LCbKpL7bDTg8TExNhUFxoaamS9S5cuJbn73d+CgoJUsWJFNW3aVB999JF++OEHHT58WBcuXNCtW7cUERGh2NhYJSQkpItdnFLizp07Dqm1xZQpU2zeseu/YmJi9N5776l06dIaN26cbt68adfxx48f1wsvvKBKlSrd9+ege/fuaty4cYp6c2V9+vSRxWKxuX7YsGFG1y9TpowaNGhgc32/fv2Mrp9azn4sL1iwoE11YWFh2rZtm021t27d0nvvvaeEhAT16NFD/v7+Nh1n66CerQPgjmRrr+lFYmKi3njjjfveV69evVRf3MoZsmbNqsqVK9t1zPHjx/XNN984piEAAAC4vCnnlulM9GWjmbk9c+j1QPsuXAPHyesVoNeLP208952TXyo83nF/AwUAAAAAAOmL6727CiBT6Ny5s/bt25ds3e3btxUSEqLAwECH93T06FGb6rJly5YpT7xzhEuXLiV532OPPWZkjc6dO+vTTz+1qfbgwYOqVq2akXUfxNafNYkBPAAAkPlERkaqRYsWmjp1qvr27Zuma587d069e/dOtq5du3bq0aOHw/q4fv260Tp7JCQk6MKFCzbVmhp+ux9bd6c29TXYtWuXTXVWq1W//PKLfvnlF5uzLRbLP//c3d3/+efh4SFPT0/5+PjI29tbfn5+8vPzU/bs2ZUrVy7ly5dPxYsXV40aNVSlShV5e3un9NOz2Y0bN2yutXfILTllypTRqFGjkhwkscXFixf1+uuva+TIkWrUqJFatmypypUrq2zZssqZM6d8fHwUFhammzdv6uTJk9q2bZs2b96srVu3JpmZO3dum19TZjQlS5ZUgwYNbBqKrlKlipo1a2a8h/79++u3335Ltq5o0aJq2rSp8fVTw5mP5ZJUvHhxm2vHjx+vRo0aPbAmPj5eTz/9tC5duiSLxaJBgwbZlB0TE2PzY7qjhhHtce3aNWe3YJeZM2fq4MGD972vevXqadyNOTVq1NCePXvsOuadd95R586dbR4MBQAAQOZwIzZMH5yeYzx3VIm+yu7Jc8/05KWiXTX13ApdiDHzuq6wd159WOp5ZXFP2QWjAAAAAACA62EAD0C61KVLF5tPqtu5c2eaDODt37/fprr27dvL09PTsc1kEidPnrzv7RUrVlSVKlWMrFG7dm0VK1ZMZ86cSbZ2586deuaZZ4ys+yC2/qwFBgaqZs2ajm0GAAAgHYqJiVG/fv20e/dujR8/Xn5+fg5f8+rVq3rsscd05cqVB9aVLVtWc+aYP2nn32zdMfn06dPG1w4JCVFCQoJNtQ+6oEZq2TqQktRrCns5cujDarX+syOerV/b//Ly8lK9evX0zDPPqGPHjg77P2HPz9TZs2eNrz98+HBt2rRJP/30U6pyYmNjtWHDBm3YsCHVPc2ePVt58+ZNdY6r6tOnj00DeK+++qpD1u/UqZNeeOGFZHfm7NOnj9zc3BzSQ0rZ+lh+8+ZNhYWFGd9VtUqVKrJYLDbtyPnDDz9o4sSJSX4fr169qqeffvqf/5u9evXSQw89ZFMftvw95m/pYfjNEY9tjnL16tUH/n01X758adiNWbbu4PhvFy9e1MiRI/XJJ584oCMAAAC4qjGnZys0/o7RzNJZimhA4fZGM5F6Wdx99EGpAXrmyJhU5WR1z6I3i/fWi0U7y5fhOwAAAAAAMpX0ddYBAPy/4sWLq1atWjbVbt++3cHdSBERETafuGnLjhiwze7du+97+4ABA4yu07VrV5vq0uJnTbJ9AK9Xr16yWCyObQYAACAdmzZtmh5++GF99913Dl1n7969qlu3brI7FefJk0ffffed8SGJfwsNDVVwcLBNtbdu3VJISIjR9W3Zaepv9uzsbI/Y2FibnzMfPXpUcXFxqV6zZMmSqc5wpNjYWG3atEm9e/dW4cKF9fnnnys+Pt74OgcOHLC5Nqkdl1LD3d1dixYtUqlSpYxnp8Tw4cPVpk0bZ7fhVJ06dUp2N6nChQurS5cuDlnf19dX3bp1e2CNxWJRnz59HLJ+SiUmJmrv3r021+/bt894D9mzZ1f58uVtrh82bJg6duyoLVu26M6dO4qKitK+ffv01ltvqUyZMv8M3/n7++ujjz6yOffIkSM215oaqv6v+Ph4m3dtPXz4sEN6cITnnnvugbuRJndRgfQsJiYmRcd9/vnn+vXXXw13AwAAAFd1MvK8vji33Hjux6UHy9ON66GnRz0LPKbK/qVTdKyHxV1Dijylk/WX6fXivRi+AwAAAAAgE2IAD0C69fzzz9tU9/vvvzu4E2nPnj1KTExMti4wMFCNGzd2eD+ZQXR0tP744497bvf391fPnj2NrvXcc8/ZdCX8w4cP684ds1dA/K/Y2FgdOnQo2TqLxcKwJwAAgP7aiebJJ59U8+bN9fPPPxvNtlqt+uyzz1SnTp1kT/oPCAjQxo0bVbZsWaM9/NeyZcvsGqyaN2+e0fVXr15tc+3OnTsdsgvf8uXLk93t6m8RERFat25dqtesVauWSpdO2ck5aS00NFQvvfSSqlevrlOnThnNtmfYdc2aNYqNjTW6viTlzJlT69atS9HuRya1bt1aY8eOdWoP6YGfn586d+78wJoXX3xRnp6eDuuhf//+D7y/WbNmKlasmMPWT4lffvlFV69etbne9GP53zp16mRX/YoVK9SoUSNly5ZNWbJkUbVq1fThhx/e9Zg8btw4FShQwOZMe36vbN682Z52bbZ27Vqbf68cOXLErl37nOXjjz9O9jF7wYIFDnmcTgspfc6XmJioLl26GL9AAQAAAFzTG8HTFGc1ewGj+jkqq12ehkYzYY67xV0Tygyx+7j2eRvpSJ0FmlzuVeXxyumAzgAAAAAAgCtgAA9AutW1a1flypUr2bq9e/fafJXqlLJ1l4fBgwezI5kha9euVVRU1D23v/TSS8Z3FClRooQee+yxZOsSEhIcdrLX3/744w9FR0cnW9eqVSuVKFHCob0AAAC4ko0bN6pZs2aqUaOGZs6caddgw39FRUVp+vTpKleunF5++eVkT04vUqSINm/erEqVKqV4TVuEhYXpvffes+uYsWPHGhuC279/v10DWHFxcXr22WeNrP23sLAwvfnmm3Yd8+qrr973tYU93N3d9fXXXzt0iMi0gwcPqnbt2tqxY4eRvDVr1tz3IilJOXv2rMaMGWNk7f8qVaqUNm3aZNeQj0l169bVokWLbLqQS2bwoN3lsmXLpueee86h61evXl1Vq1ZN8v6+ffs6dH17xcXFacSIEXYdM3v2bG3fvt14LwMGDJCfn5+xvKefflqDBg2yuf7YsWNasGCBzfWHDx/WtGnTUtJakmJiYvTOO+/YdYy9v4fS2tSpU/X6668nWxccHKxBgwbJarWmQVfmfPvtt9q5c2eKj79y5YoaN26sXbt2GewKAAAArmZ76CEtvfKL8dwJZYZyvkA61yxXTT2Wq7ZNtTWzPazfakzXispjVcavqIM7AwAAAAAA6R1niQBIt3x8fJK9irn011DUhg0bHNrL1q1bk63x8/OzqV/YZu7cuffcljNnTg0bNswh6w0dOtSmuh9//NEh6//Nlp816a9BRAAAANxrz549evbZZ1WgQAE1bNhQo0eP1sqVK3Xy5MkkTzCPjIzUvn37NHnyZHXu3FmFCxfWwIEDdeLEiWTXq1Wrlnbt2qWKFSua/lTucv36dbVt21bnzp2z67jIyEg1btxYBw4cSNX6f/zxh1q1amXTzuD/9vPPP6tr166KjIxM1fqSdP78eT3++ON271oTHBys5s2b6/Lly6lav0GDBlqxYoXRYRVHu3btmh5//HEFBwenKmf//v0pGmL68MMP9fHHH6dq7aSUKVNG27dvd/j/vf+qU6eO1q1bJ39//zRdNz2rX79+kjtEPvvss8qWLZvDe+jXr999bw8ICFD79u0dvr6tIiIi1KNHD+3du9eu46xWq9q0aWN8p9d8+fLp7bffNpLVtGlTzZgxw+b6v3+v2LsD29ChQzV+/HglJCTY2+I9oqOj1atXLx08eNCu4xYsWKDRo0enq8E1q9Wqn3/+WS1bttTgwYNt7u3rr79Wy5YtjQ1rO1JCQoImT55sZKj2zJkzqlevnoYPH67z588b6A4AAACuxGq1atiJycZzu+RrplrZyxvPTUujRo2y6Z+rG19miNwecMpccd+CWlTxfe2oOVP1c1ZOw84AAAAAAEB6ZrGmp3eJAeA/rly5ohIlSiR7smafPn00a9Ysh/QQGRmp3LlzJ7tjwiuvvKKJEyc6pIfM5vjx43r44YfvObl3woQJevXVVx22bo0aNbRnz54H1hQvXlynTp1yWA+NGjXSli1bHlhTrVq1ZPuEebZerZKnVgAApNyECRM0fPjwfz4ODAzUsGHDVLZsWV2/fl1//PGHNm/erH379qXod66bm5uyZcumbNmyydfXV2FhYbp165ZiYmLszvLw8NAbb7yhkSNHysPDw+7jH+TIkSOKjY3VzZs3debMGe3cuVNLlixJ1c7fnp6eatOmjRo3bqxSpUopb9688vX1VZkyZe7a1S0yMlJnz55VdHS0bt68qcOHD2v9+vVat25dqp7nFChQQB06dFC1atVUuHBhBQQEyNvbW0WLFr1nh+tLly4pLCxMUVFRunXrloKCgvTrr79q1apVqdrJLmvWrOrYsaPq1KmjwMBA5c6dWz4+Pnr44Yftyjl8+LC6du2qI0eOpLiXtFa+fHnt2rVLWbJkSbY2Pj5eUVFRunz5so4dO6Z169Zp9uzZKfp/8rdatWqpW7duqlGjhooUKaJcuXLJx8dH7u7uKc78W3h4uPr27aulS5emOis5Xbt21ezZs+Xj4+PwtVzNRx99dM+uYB4eHjp16pSKFCni8PVDQ0NVoECBe3aUHzp0qCZNmuTw9e8nKChIERERCg0N1blz57Rnzx4tXrw4VcPAFotFzZs3V7NmzVS2bFkVKFBAvr6+KlGihE3/v+/HarWqffv2du1w+l8dO3bU/Pnz5e3tfd/7o6OjFRoaqlOnTmnXrl367rvvtHnz5hSvJ0mlS5dW9+7dVadOHRUvXlz58uWTr6+vvLy8kjzm798rwcHB2rx5s77++mudPXs2xT3UqlVLvXr1Uo0aNVS0aFHlyJFD3t7eabLbhdVq1eHDh7Vr1y5t3bpV69at05UrV1KVWbRoUTVu3FhVq1ZVmTJlVKRIEeXLl0958+Y11LXtTpw4obCwMIWFhenkyZPav3+/1qxZowsXLhhfy8PDQ48++qjq1q2rKlWqKHfu3CpYsKBKlChhfC0AAACkD8uvbNJTB83ubO1l8dSf9RapuG9Bo7lwnP5HPtTXF9fcdVtOj6x6u0QfDS7SUd5uSb++BAAAAACYwXm5cDUM4AFI91577TWNHz/+gTW5cuXSpUuX7jpx1JSVK1eqQ4cOD6zx9fXV6dOnlS9fPuPrZ0YdO3bUihUr7rqtSpUq+uOPP4yf3Pxva9euVevWrZOt27Nnj6pVq2Z8/evXryt//vzJXsX9u+++U9u2bY2vjwfjiT4AAI737wG8kiVLat++fcqaNes9dVevXtXatWv13Xffaf369akaykqJZs2aafz48apSpYpD8tPixP2/nT59WoGBgf98vHnzZj366KNptv7s2bP1zDPP3HXbM888ozlz5qRZDyl5/hYdHa333ntPEyZMUFxcnAO6Mu+jjz7S66+//sCatP7+//fnLzUWLlyooUOH6saNG0by/s3f31/jxo3ToEGDjGdnFBcuXFCxYsXuej3bo0cPffvtt2nWQ8+ePTV//vy7btu3b5/DHquTExgYqDNnzqTJWps2bVLjxo1TfHxsbKz69u17z9cvOb6+vvrwww/14osvJvm765tvvlGfPn1S3Ju97vd7pXHjxvr111/TZP1GjRqlerjQFiEhISpevLjD15Gc83eOtPz/cz9p9X0EAACAcwz9c6KmnFtmNPOVot00sewLRjPhWBejr6n0ts6KTIyWl8VTQ4o8pbdK9FaAZ/bkDwYAAAAAGMF5uXA1bs5uAACS89prr933pNt/u3HjhtavX++Q9VeuXJlszZAhQxi+M2T9+vX3DN+5u7vryy+/dOjwnSS1atVKderUSbZuwYIFDll/9erVyQ7f1axZk+E7AACQKQwbNizJ1wF58+bVM888o5UrV+r69etatmyZunbtqmzZsjmsH4vFoscee0w//fSTNmzY4LSBDqQPPj4+Gjx4sAoUKPDPbW5u6fvPbOPHj9edO3ec3YbDdOvWTcHBwXrjjTfk5+dnJNPNzU3dunXToUOHGL5LRqFChdS8efO7bhs2bFia9tC/f/+7Pq5WrRqP1Tby8vLSt99+q8WLF9u065eHh4d69uypgwcP6qWXXkrTwXEAAAAASK3J5V7Vz9Unq2rWMkbycnpk1VslehvJQtop6JNHwwN7qEu+ZjpWd6Emln2B4TsAAAAAAPBA7IAHwCX8eyeMpHTt2lULFy40uu7t27dVpEgR3b59O8mavHnzKigoyKEn+2YWV69eVeXKlXX58uW7bv/ggw/05ptvpkkPu3btUp06dZSYmJhkTaFChXT27FnjJ9g++uijD7y6tsVi0bZt22waEoR5XGkDAADH+/fz/nPnzqlw4cJ2HR8bG6tNmzZpzZo1WrdunU6dOpXqnqpXr6527dqpe/fuKlmyZKrzkDFcu3ZNDRs21J9//inpr4uGrF69Wg0bNlRISIjOnz+vS5cu6erVq7p+/bpu3rypsLAw3b59W+Hh4YqIiFBkZKSio6MVExOj2NhYxcXFKT4+XomJiUpMTJTVajX+3HLRokXq0qVLkvdHRkbq7NmzRtd8kJIlSzpkJ/ubN29q3rx5+vrrr3Xo0CG7jw8ICFC3bt00aNAgPfzww8b7y6iWLl2qzp07S5KaNm2qjRs3pnkPpUuXVnBwsCTpiy++YHAyBeLj4/XDDz9o+fLl2rFjh86fPy+r1ap8+fKpXLlyatmypTp27KiiRYvalBcWFqZLly45uOv/KVCggLJnv/uEybNnzyoyMjJN1s+SJYvNXxsAAAAAzpVoTdSCyz/pzeDpOhd9JcU5E8u8oFeKdTPYGdKK1WrlojIAAAAA4ESclwtXwwAeAJcQHx+vqlWr6vDhw0nWeHl56dy5c8qbN6+xdT/55BO9+uqrD6yZNWuW+vTpY2zNf4uKitLUqVO1dOlS/fnnn4qNjVWxYsX0+OOP69VXX1WhQoWMrxkcHKxz587Jz89PpUqVUkBAgPE17ic6OlotWrTQb7/9dtftrVu31po1a9L0D9/PP/+8ZsyY8cCaVatWqV27dsbW3Lt3r6pXr/7Aml69emnOnDnG1oR9eKIPAIDj/T2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      "text/plain": [
       "<Figure size 3600x2250 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def U(x,x1,x2,x3,x4,x5,x6,l):\n",
    "    if x<=x1:\n",
    "        return v-t*x-c*WA(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif x1<x<=x1+x3:\n",
    "        return v-t*(PA(x1,x2,x3,x4,x5,x6,l)*x+1/3*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/6<=x<=x4+1/6:\n",
    "        return v-t*((2*PA(x1,x2,x3,x4,x5,x6,l)-1)*x+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3-x2-x5<=x<1/3-x2:\n",
    "        return v-t*((2*PA(x1,x2,x3,x4,x5,x6,l)-1)*x+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3-x2<=x<=1/3:\n",
    "        return v-t*(1/3-x)-c*WB(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3<x<=1/3+x2:\n",
    "        return v-t*(x-1/3)-c*WB(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3+x2<=x<=1/3+x2+x6:\n",
    "        return v-t*(PA(x1,x2,x3,x4,x5,x6,l)*x+1/6*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    else:\n",
    "        return 0\n",
    "def UA(x,x1,x2,x3,x4,x5,x6,l):\n",
    "    return v-t*x-c*WA(x1,x2,x3,x4,x5,x6,l)\n",
    "\n",
    "def UB(x,x1,x2,x3,x4,x5,x6,l):\n",
    "    if 1/3-x2<=x<=1/3:\n",
    "        return v-t*(1/3-x)-c*WB(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3<x<=1/3+x2:\n",
    "        return v-t*(x-1/3)-c*WB(x1,x2,x3,x4,x5,x6,l)\n",
    "\n",
    "def UR(x,x1,x2,x3,x4,x5,x6,l):\n",
    "    if x1<x<=x1+x3:\n",
    "        return v-t*(PA(x1,x2,x3,x4,x5,x6,l)*x+1/3*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/6<=x<=x4+1/6:\n",
    "        return v-t*((2*PA(x1,x2,x3,x4,x5,x6,l)-1)*x+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3-x2-x5<=x<=1/3-x2:\n",
    "        return v-t*((2*PA(x1,x2,x3,x4,x5,x6,l)-1)*x+1/2*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "    elif 1/3+x2<=x<=1/3+x2+x6:\n",
    "        return v-t*(PA(x1,x2,x3,x4,x5,x6,l)*x+1/6*(1-PA(x1,x2,x3,x4,x5,x6,l)))-c*WR(x1,x2,x3,x4,x5,x6,l)\n",
    "\n",
    "j=0\n",
    "xxx1 = np.arange(0, x1[j], 0.001)\n",
    "UA1=[]\n",
    "for i in xxx1:\n",
    "    UA1.append(UA(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "    \n",
    "xxx2 = np.arange(1/3-x2[j], 1/3+x2[j], 0.001)\n",
    "UB1=[]\n",
    "for i in xxx2:\n",
    "    UB1.append(UB(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "    \n",
    "xxx3 = np.arange(x1[j], x1[j]+x3[j], 0.001)\n",
    "UR3=[]\n",
    "for i in xxx3:\n",
    "    UR3.append(UR(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "\n",
    "xxx4 = np.arange(1/6, 1/6+x4[j], 0.001)\n",
    "UR4=[]\n",
    "for i in xxx4:\n",
    "    UR4.append(UR(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "\n",
    "xxx5 = np.arange(1/3-x2[j]-x5[j], 1/3-x2[j], 0.001)\n",
    "UR5=[]\n",
    "for i in xxx5:\n",
    "    UR5.append(UR(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "    \n",
    "xxx6 = np.arange(1/3+x2[j], 1/3+x2[j]+x6[j], 0.001)\n",
    "UR6=[]\n",
    "for i in xxx6:\n",
    "    UR6.append(UR(i,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]))\n",
    "\n",
    "\n",
    "\n",
    "    \n",
    "plt.figure(figsize=(4, 2.5))    \n",
    "\n",
    "plt.plot(xxx1, UA1, label='Single with A',color='#619cff',linestyle=\"-.\")\n",
    "plt.plot(xxx2, UB1, label='Single with B',color='#00ba38',linestyle=\"--\")\n",
    "plt.plot(xxx3, UR3, label='Multi-listing',color='#f8766d')\n",
    "plt.plot(xxx4, UR4, color='#f8766d')\n",
    "plt.plot(xxx5, UR5, color='#f8766d')\n",
    "plt.plot(xxx6, UR6, color='#f8766d')\n",
    "\n",
    "plt.xlabel(r'$x$',fontsize=13)\n",
    "plt.ylabel(r\"Utility\", fontsize=13)\n",
    "plt.vlines(x1[j], 0.25, U(x1[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(x1[j]+x3[j], 0.25, U(x1[j]+x3[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1/3-x2[j]-x5[j], 0.25, U(1/3-x2[j]-x5[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1/3-x2[j], 0.25, U(1/3-x2[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1/3+x2[j], 0.25, U(1/3+x2[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1/3, 0.25, U(1/3,x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "plt.vlines(1/3+x2[j]+x6[j], 0.25, U(1/3+x2[j]+x6[j],x1[j],x2[j],x3[j],x4[j],x5[j],x6[j],xxx[j]), 'black', ':', linewidth=0.8)\n",
    "#plt.vlines(1, 0.3, UB(1), 'black', '--', linewidth=0.8)\n",
    "plt.xlim(0, 0.5)\n",
    "\n",
    "\n",
    "plt.text(0.5*x1[j]-0.01, 0.25, '$x_1$')\n",
    "plt.text(x1[j]+0.5*x3[j]-0.01, 0.25, '$x_3$')\n",
    "plt.text(1/3-x2[j]-0.5*x5[j]-0.01, 0.25, '$x_4$')\n",
    "plt.text(1/3-0.5*x2[j]-0.01, 0.25, '$x_2$')\n",
    "plt.text(1/3+0.5*x2[j]-0.01, 0.25, '$x_2$')\n",
    "plt.text(1/3+x2[j]+0.5*x6[j]-0.01, 0.25, '$x_5$')\n",
    "\n",
    "plt.legend( loc='upper left',frameon=False) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d3501ea7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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