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["The BucknellAuto Game -- ","Reverse Auctions for Automotive Exterior Parts",null,null,1,1,1]
[null,false,null,null,1]
["Auction parameters","Input","Repeat steps 1-4",null,null,null,null,null,null,"(Robot picture from Microsoft Excel 2010 clipart)"]
["Invited suppliers (N):",3,"for 20 auctions."]
["Administrative cost (K):",10,0.8]
["Risk attitude (β):",0.6,null,null,{"$f":"IF(B_2=\"\",\"\",B_1*IF(AND(PA_1=\"Yes\",OR(alpha=1,SA_1=\"Yes\")),1,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_2=\"\",\"\",B_2*IF(AND(PA_2=\"Yes\",OR(alpha=1,SA_2=\"Yes\")),1,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_3=\"\",\"\",B_3*IF(AND(PA_3=\"Yes\",OR(alpha=1,SA_3=\"Yes\")),1,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(N=3,\"--\",B_4*IF(AND(PA_4=\"Yes\",OR(alpha=1,SA_4=\"Yes\")),1,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),1-alpha,0)))))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(N=3,\"--\",B_5*IF(AND(PA_5=\"Yes\",OR(alpha=1,SA_5=\"Yes\")),1,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),1-alpha,0)))))","v":""}]
["Award portion (α):",1,null,null,{"$f":"LARGE($E$11:$I$11,1)","v":0},{"$f":"LARGE($E$11:$I$11,2)","v":{"$error":"#NUM!"}},{"$f":"LARGE($E$11:$I$11,3)","v":{"$error":"#NUM!"}},{"$f":"LARGE($E$11:$I$11,4)","v":{"$error":"#NUM!"}},{"$f":"LARGE($E$11:$I$11,5)","v":{"$error":"#NUM!"}}]
["Seed (s):",1]
["Equilib. Cap (ca*)",0.41219896363080327,null,null,null,"AmherstParts","BowdoinParts","CarletonParts","DavidsonParts"]
["Solver constraint (Eqn 3)",{"$f":"(1-ca)^(N-1)*(1-ca)^beta+(N-1)*ca*(1-ca)^(N-2)*((1-alpha)*(1-ca))^beta-(k*0.01)^beta","v":-6.342647228541054E-7},null,"Total Mfg. Cost (C)"]
[null,null,null,"Total Bid (b)",{"$f":"B_1","v":0},{"$f":"IF(C_2=\"\",\"\",IF(C_2<=ca*100,C_2+F12,0))","v":""},{"$f":"IF(C_3=\"\",\"\",IF(C_3<=ca*100,C_3+G12,0))","v":""},{"$f":"IF(C_4=\"\",\"\",IF(N=3,\"--\",IF(C_4<=ca*100,C_4+H12,0)))","v":""},{"$f":"IF(C_5=\"\",\"\",IF(N=3,\"--\",IF(C_5<=ca*100,C_5+I12,0)))","v":""}]
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[null,null,null,"Participating?",{"$f":"IF(B_1=\"\",\"\", IF(B_1>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_2=\"\",\"\", IF(B_2>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_3=\"\",\"\", IF(B_3>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(B_4>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(B_5>0,\"Yes\",\"No\"))","v":""}]
[null,null,null,"1st Award? 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[null,null,null,"2nd Award? 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[null,null,null,"Total Cost (AC+K)",{"$f":"IF(OR(B_1=\"\",C_2=\"\"),\"\",IF(J_1=\"No\",0,IF(alpha=1,IF(PA_1=\"Yes\",C_1+k,k),IF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_1+k,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha*C_1+k,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),(1-alpha)*C_1+k,k))))))","v":""},{"$f":"IF(B_2=\"\",\"\",IF(J_2=\"No\",0,IF(alpha=1,IF(PA_2=\"Yes\",C_2+k,k),IF(AND(J_1=\"No\",J_2=\"Yes\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_2+k,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha*C_2+k,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),(1-alpha)*C_2+k,IF(AND(PA_2=\"No\",SA_2=\"No\"),k)))))))","v":""},{"$f":"IF(B_3=\"\",\"\",IF(J_3=\"No\",0,IF(alpha=1,IF(PA_3=\"Yes\",C_3+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"Yes\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_3+k,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha*C_3+k,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),(1-alpha)*C_3+k,IF(AND(PA_3=\"No\",SA_3=\"No\"),k)))))))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(J_4=\"No\",0,IF(alpha=1,IF(PA_4=\"Yes\",C_4+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"No\",J_4=\"Yes\",OR(J_5=\"No\",J_5=\"\")),C_4+k,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha*C_4+k,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),(1-alpha)*C_4+k,IF(AND(PA_4=\"No\",SA_4=\"No\"),k)))))))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(J_5=\"No\",0,IF(alpha=1,IF(PA_5=\"Yes\",C_5+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),J_5=\"Yes\"),C_5+k,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha*C_5+k,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),(1-alpha)*C_5+k,IF(AND(PA_5=\"No\",SA_5=\"No\"),k)))))))","v":""}]
["Next Period:",1,null,"Revenue (Ab)",{"$f":"IF(T_1=\"\",\"\",IF(B2=FALSE,E6,IF(E6=0,0,IF(E11=E7,100,INDEX(E7:I7,MATCH(E11+0.000001,E7:I7,-1)))*IF(AND(PA_1=\"Yes\",OR(alpha=1,SA_1=\"Yes\")),1,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(T_2=\"\",\"\",IF(B2=FALSE,F6,IF(F6=0,0,IF(F11=E7,100,INDEX(E7:I7,MATCH(F11+0.000001,E7:I7,-1)))*IF(AND(PA_2=\"Yes\",OR(alpha=1,SA_2=\"Yes\")),1,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(T_3=\"\",\"\",IF(B2=FALSE,G6,IF(G6=0,0,IF(G11=E7,100,INDEX(E7:I7,MATCH(G11+0.000001,E7:I7,-1)))*IF(AND(PA_3=\"Yes\",OR(alpha=1,SA_3=\"Yes\")),1,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(N=3,\"\",IF(T_4=\"\",\"\",IF(B2=FALSE,H6,IF(H6=0,0,IF(H11=E7,100,INDEX(E7:I7,MATCH(H11+0.000001,E7:I7,-1)))*IF(AND(PA_4=\"Yes\",OR(alpha=1,SA_4=\"Yes\")),1,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),1-alpha,0)))))))","v":""},{"$f":"IF(N=3,\"\",IF(T_5=\"\",\"\",IF(B2=FALSE,I6,IF(I6=0,0,IF(I11=E7,100,INDEX(E7:I7,MATCH(I11+0.000001,E7:I7,-1)))*IF(AND(PA_5=\"Yes\",OR(alpha=1,SA_5=\"Yes\")),1,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),1-alpha,0)))))))","v":""}]
[null,null,null,"Profit (Ab-AC-K)",{"$f":"IF(OR(B_1=\"\",C_2=\"\"),\"\",R_1-T_1)","v":""},{"$f":"IF(B_2=\"\",\"\",R_2-T_2)","v":""},{"$f":"IF(B_3=\"\",\"\",R_3-T_3)","v":""},{"$f":"IF(B_4=\"\",\"\",R_4-T_4)","v":""},{"$f":"IF(B_5=\"\",\"\",R_5-T_5)","v":""}]
["Robot would have bid:","Exterior Parts","Bid","Won?","Profit","Profit","Profit","Profit","Profit"]
[null,"Antenna"]
[null,"Auxiliary Light"]
[null,"Battery Heaters"]
[null,"Bug  Deflectors"]
[null,"Grill Guards"]
[null,"Car Covers"]
[null,"Cargo Mat"]
[null,"Grab Bar"]
[null,"Door Edge Guard"]
[null,"Door Sill Protector"]
[null,"Exterior Lighting"]
[null,"Door handle"]
[null,"Headlight Cover"]
[null,"Headlight Guard"]
[null,"License Frames"]
[null,"Lift Support"]
[null,"Mud Guards"]
[null,"Step Bar"]
[null,"Roll Bars"]
[null,"Running Board"]
[null,"Average"]

{"sheet":"2_Players","index":1,"n_rows":40,"n_cols":10,"rows_kept":40,"cut":false,"hidden":false,"merged":[]}
["The BucknellAuto Game -- ","Reverse Auctions for Automotive Exterior Parts",null,null,null,1,1]
[null,false,null,null,1]
["Auction parameters","Input","Repeat steps 1-5",null,null,null,null,null,null,"(Robot picture from Microsoft Excel 2010 clipart)"]
["Invited suppliers (N):",3,"for 20 auctions."]
["Administrative cost (K):",10,0.8]
["Risk attitude (β):",0.6,null,null,{"$f":"IF(B_2=\"\",\"\",B_1*IF(AND(PA_1=\"Yes\",OR(alpha=1,SA_1=\"Yes\")),1,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_2=\"\",\"\",B_2*IF(AND(PA_2=\"Yes\",OR(alpha=1,SA_2=\"Yes\")),1,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_3=\"\",\"\",B_3*IF(AND(PA_3=\"Yes\",OR(alpha=1,SA_3=\"Yes\")),1,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),1-alpha,0))))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(N=3,\"--\",B_4*IF(AND(PA_4=\"Yes\",OR(alpha=1,SA_4=\"Yes\")),1,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),1-alpha,0)))))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(N=3,\"--\",B_5*IF(AND(PA_5=\"Yes\",OR(alpha=1,SA_5=\"Yes\")),1,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),1-alpha,0)))))","v":""}]
["Award portion (α):",1,null,null,{"$f":"LARGE($E$11:$I$11,1)","v":0},{"$f":"LARGE($E$11:$I$11,2)","v":0},{"$f":"LARGE($E$11:$I$11,3)","v":{"$error":"#NUM!"}},{"$f":"LARGE($E$11:$I$11,4)","v":{"$error":"#NUM!"}},{"$f":"LARGE($E$11:$I$11,5)","v":{"$error":"#NUM!"}}]
["Seed (s):",1]
["Equilib. Cap (ca*)",0.41219914276257191,null,null,null,null,"BowdoinParts","CarletonParts","DavidsonParts"]
["Solver constraint (Eqn 3)",{"$f":"(1-ca)^(N-1)*(1-ca)^beta+(N-1)*ca*(1-ca)^(N-2)*((1-alpha)*(1-ca))^beta-(k*0.01)^beta","v":-8.3329282973831909E-7},null,"Total Mfg. Cost (C)"]
[null,null,null,"Total Bid (b)",{"$f":"B_1","v":0},{"$f":"B_2","v":0},{"$f":"IF(C_3=\"\",\"\",IF(C_3<=ca*100,C_3+G12,0))","v":""},{"$f":"IF(C_4=\"\",\"\",IF(N=3,\"--\",IF(C_4<=ca*100,C_4+H12,0)))","v":""},{"$f":"IF(C_5=\"\",\"\",IF(N=3,\"--\",IF(C_5<=ca*100,C_5+I12,0)))","v":""}]
[null,null,null,null,null,null,{"$f":"100*('Integral chart'!F10005/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_3*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_3*0.01*(1-C_3*0.01)^(N-2))^(1/beta))+(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-ca)^(N-1)+(N-1)*(1-alpha)^beta*ca*(1-ca)^(N-2))^(1/beta)*(1-ca))/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_3*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_3*0.01*(1-C_3*0.01)^(N-2))^(1/beta)))","v":30.759204686072962},{"$f":"100*('Integral chart'!G10005/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_4*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_4*0.01*(1-C_4*0.01)^(N-2))^(1/beta))+(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-ca)^(N-1)+(N-1)*(1-alpha)^beta*ca*(1-ca)^(N-2))^(1/beta)*(1-ca))/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_4*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_4*0.01*(1-C_4*0.01)^(N-2))^(1/beta)))","v":30.759204686072962},{"$f":"100*('Integral chart'!H10005/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_5*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_5*0.01*(1-C_5*0.01)^(N-2))^(1/beta))+(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-ca)^(N-1)+(N-1)*(1-alpha)^beta*ca*(1-ca)^(N-2))^(1/beta)*(1-ca))/(((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-C_5*0.01)^(N-1)+(N-1)*(1-alpha)^beta*C_5*0.01*(1-C_5*0.01)^(N-2))^(1/beta)))","v":30.759204686072962}]
[null,null,null,"Participating?",{"$f":"IF(B_1=\"\",\"\", IF(B_1>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_2=\"\",\"\", IF(B_2>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_3=\"\",\"\", IF(B_3>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(B_4>0,\"Yes\",\"No\"))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(B_5>0,\"Yes\",\"No\"))","v":""}]
[null,null,null,"1st Award? (A=α)",{"$f":"IF(B_3=\"\",\"\",IF(N=3,\nIF(J_1=\"No\",\"No\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\"),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"No\",MIN(B_1,B_2)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"Yes\",MIN(B_1,B_3)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",MIN(B_1,B_2,B_3)=B_1),\"Yes\",\"No\"))))),\nIF(J_1=\"No\",\"No\",IF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_4=\"No\",J_5=\"No\"),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"No\",J_4=\"No\",J_5=\"No\",MIN(B_1,B_2)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_1,B_3)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_1,B_4)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_1,B_5)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_1,B_2,B_3)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_1,B_2,B_4)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_1,B_2,B_5)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_1,B_3,B_4)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(B_1,B_3,B_5)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_1,B_4,B_5)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_1,B_2,B_3,B_4)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(B_1,B_2,B_3, 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B_5)=B_1),\"Yes\",\nIF(AND(J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_1,B_2,B_3,B_4,B_5)=B_1),\"Yes\",\"No\")))))))))))))))))))","v":""},{"$f":"IF(B_3=\"\",\"\",IF(N=3,\nIF(J_2=\"No\",\"No\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"No\"),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"No\",MIN(B_2,B_1)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"Yes\",MIN(B_2,B_3)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"Yes\",MIN(B_2,B_1,B_3)=B_2),\"Yes\",\"No\"))))),\nIF(J_2=\"No\",\"No\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"No\",J_4=\"No\",J_5=\"No\"),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"No\",J_4=\"No\",J_5=\"No\",MIN(B_2,B_1)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_2,B_3)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_2,B_4)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_2,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_2,B_1,B_3)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_2,B_1,B_4)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_2,B_1,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_2,B_3,B_4)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(B_2,B_3,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"No\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_2,B_4,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_2,B_1,B_3,B_4)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(B_2,B_1,B_3,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"No\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_2,B_1,B_4,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"No\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_2,B_3,B_4,B_5)=B_2),\"Yes\",\nIF(AND(J_2=\"Yes\",J_1=\"Yes\",J_3=\"Yes\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_2,B_1,B_3,B_4,B_5)=B_2),\"Yes\",\"No\")))))))))))))))))))","v":""},{"$f":"IF(B_3=\"\",\"\",\nIF(N=3,IF(J_3=\"No\",\"No\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"No\"),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"No\",MIN(B_3,B_1)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"Yes\",MIN(B_3,B_2)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",MIN(B_3,B_1,B_2)=B_3),\"Yes\",\"No\"))))),\nIF(J_3=\"No\",\"No\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"No\",J_4=\"No\",J_5=\"No\"),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_4=\"No\",J_5=\"No\",MIN(B_3,B_1)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_3,B_2)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_3,B_4)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_3,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_4=\"No\",J_5=\"No\",MIN(B_3,B_1,B_2)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_4=\"Yes\",J_5=\"No\",MIN(B_3,B_1,B_4)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_4=\"No\",J_5=\"Yes\",MIN(B_3,B_1,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_3,B_2,B_4)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(J_3,J_2,J_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"No\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_3,B_4,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_4=\"Yes\",J_5=\"No\",MIN(B_3,B_1,B_2,B_4)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_4=\"No\",J_5=\"Yes\",MIN(B_3,B_1,B_2,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_3,B_1,B_4,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_3,B_2,B_4,B_5)=B_3),\"Yes\",\nIF(AND(J_3=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_4=\"Yes\",J_5=\"Yes\",MIN(B_3,B_1,B_2,B_4,B_5)=B_3),\"Yes\",\"No\")))))))))))))))))))","v":""},{"$f":"IF(B_4=\"\",\"\",\nIF(J_4=\"No\",\"No\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"No\",J_3=\"No\",J_5=\"No\"),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_5=\"No\",MIN(B_4,B_1)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_3=\"No\",J_5=\"No\",MIN(B_4,B_2)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"No\",J_3=\"Yes\",J_5=\"No\",MIN(B_4,B_3)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"No\",J_3=\"No\",J_5=\"Yes\",MIN(B_4,B_5)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_3=\"No\",J_5=\"No\",MIN(B_4,B_1,B_2)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_3=\"Yes\",J_5=\"No\",MIN(B_4,B_1,B_3)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"Yes\",J_2=\"No\",J_3=\"No\",J_5=\"Yes\",MIN(B_4,B_1,B_5)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_3=\"Yes\",J_5=\"No\",MIN(B_4,B_2,B_3)=B_4),\"Yes\",\nIF(AND(J_4=\"Yes\",J_1=\"No\",J_2=\"Yes\",J_3=\"No\",J_5=\"Yes\",MIN(B_4,B_2,B_5)=B_4),\"Yes\",\nIF(A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[null,null,null,"2nd Award? 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_4,B_5),2)=B_5),\"Yes\",\nIF(AND(J_5=\"Yes\",J_1=\"Yes\",J_2=\"Yes\",J_3=\"Yes\",J_4=\"Yes\",SMALL((B_1,B_2,B_3,B_4,B_5),2)=B_5),\"Yes\",\"No\")))))))))))))))))))","v":""}]
[null,null,null,"Total Cost (AC+K)",{"$f":"IF(OR(B_1=\"\",C_3=\"\"),\"\",IF(J_1=\"No\",0,IF(alpha=1,IF(PA_1=\"Yes\",C_1+k,k),IF(AND(J_1=\"Yes\",J_2=\"No\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_1+k,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha*C_1+k,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),(1-alpha)*C_1+k,k))))))","v":""},{"$f":"IF(B_3=\"\",\"\",IF(J_2=\"No\",0,IF(alpha=1,IF(PA_2=\"Yes\",C_2+k,k),IF(AND(J_1=\"No\",J_2=\"Yes\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_2+k,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha*C_2+k,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),(1-alpha)*C_2+k,IF(AND(PA_2=\"No\",SA_2=\"No\"),k)))))))","v":""},{"$f":"IF(B_3=\"\",\"\",IF(J_3=\"No\",0,IF(alpha=1,IF(PA_3=\"Yes\",C_3+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"Yes\",OR(J_4=\"No\",J_4=\"\"),OR(J_5=\"No\",J_5=\"\")),C_3+k,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha*C_3+k,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),(1-alpha)*C_3+k,IF(AND(PA_3=\"No\",SA_3=\"No\"),k)))))))","v":""},{"$f":"IF(B_4=\"\",\"\",IF(J_4=\"No\",0,IF(alpha=1,IF(PA_4=\"Yes\",C_4+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"No\",J_4=\"Yes\",OR(J_5=\"No\",J_5=\"\")),C_4+k,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha*C_4+k,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),(1-alpha)*C_4+k,IF(AND(PA_4=\"No\",SA_4=\"No\"),k)))))))","v":""},{"$f":"IF(B_5=\"\",\"\",IF(J_5=\"No\",0,IF(alpha=1,IF(PA_5=\"Yes\",C_5+k,k),IF(AND(J_1=\"No\",J_2=\"No\",J_3=\"No\",OR(J_4=\"No\",J_4=\"\"),J_5=\"Yes\"),C_5+k,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha*C_5+k,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),(1-alpha)*C_5+k,IF(AND(PA_5=\"No\",SA_5=\"No\"),k)))))))","v":""}]
["Next Period:",1,null,"Revenue (Ab)",{"$f":"IF(T_1=\"\",\"\",IF(B2=FALSE,E6,IF(E6=0,0,IF(E11=E7,100,INDEX(E7:I7,MATCH(E11+0.000001,E7:I7,-1)))*IF(AND(PA_1=\"Yes\",OR(alpha=1,SA_1=\"Yes\")),1,IF(AND(PA_1=\"Yes\",SA_1=\"No\"),alpha,IF(AND(PA_1=\"No\",SA_1=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(T_2=\"\",\"\",IF(B2=FALSE,F6,IF(F6=0,0,IF(F11=E7,100,INDEX(E7:I7,MATCH(F11+0.000001,E7:I7,-1)))*IF(AND(PA_2=\"Yes\",OR(alpha=1,SA_2=\"Yes\")),1,IF(AND(PA_2=\"Yes\",SA_2=\"No\"),alpha,IF(AND(PA_2=\"No\",SA_2=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(T_3=\"\",\"\",IF(B2=FALSE,G6,IF(G6=0,0,IF(G11=E7,100,INDEX(E7:I7,MATCH(G11+0.000001,E7:I7,-1)))*IF(AND(PA_3=\"Yes\",OR(alpha=1,SA_3=\"Yes\")),1,IF(AND(PA_3=\"Yes\",SA_3=\"No\"),alpha,IF(AND(PA_3=\"No\",SA_3=\"Yes\"),1-alpha,0))))))","v":""},{"$f":"IF(N=3,\"\",IF(T_4=\"\",\"\",IF(B2=FALSE,H6,IF(H6=0,0,IF(H11=E7,100,INDEX(E7:I7,MATCH(H11+0.000001,E7:I7,-1)))*IF(AND(PA_4=\"Yes\",OR(alpha=1,SA_4=\"Yes\")),1,IF(AND(PA_4=\"Yes\",SA_4=\"No\"),alpha,IF(AND(PA_4=\"No\",SA_4=\"Yes\"),1-alpha,0)))))))","v":""},{"$f":"IF(N=3,\"\",IF(T_5=\"\",\"\",IF(B2=FALSE,I6,IF(I6=0,0,IF(I11=E7,100,INDEX(E7:I7,MATCH(I11+0.000001,E7:I7,-1)))*IF(AND(PA_5=\"Yes\",OR(alpha=1,SA_5=\"Yes\")),1,IF(AND(PA_5=\"Yes\",SA_5=\"No\"),alpha,IF(AND(PA_5=\"No\",SA_5=\"Yes\"),1-alpha,0)))))))","v":""}]
[null,null,null,"Profit (Ab-AC-K)",{"$f":"IF(OR(B_1=\"\",C_3=\"\"),\"\",R_1-T_1)","v":""},{"$f":"IF(OR(B_1=\"\",C_3=\"\"),\"\",R_2-T_2)","v":""},{"$f":"IF(B_3=\"\",\"\",R_3-T_3)","v":""},{"$f":"IF(B_4=\"\",\"\",R_4-T_4)","v":""},{"$f":"IF(B_5=\"\",\"\",R_5-T_5)","v":""}]
[null,"Exterior Parts","Player 1 Won?","Player 2 Won?","Profit","Profit","Profit","Profit","Profit"]
[null,"Antenna"]
[null,"Auxiliary Light"]
[null,"Battery Heaters"]
[null,"Bug  Deflectors"]
[null,"Grill Guards"]
[null,"Car Covers"]
[null,"Cargo Mat"]
[null,"Grab Bar"]
[null,"Door Edge Guard"]
[null,"Door Sill Protector"]
[null,"Exterior Lighting"]
[null,"Door handle"]
[null,"Headlight Cover"]
[null,"Headlight Guard"]
[null,"License Frames"]
[null,"Lift Support"]
[null,"Mud Guards"]
[null,"Step Bar"]
[null,"Roll Bars"]
[null,"Running Board"]
[null,"Average"]

{"sheet":"Integral chart","index":2,"n_rows":10005,"n_cols":9,"rows_kept":10005,"cut":false,"hidden":false,"merged":[[0,3,0,8]]}
[null,null,null,"Integration part in Equation (2) of Klotz and Chatterjee (1995)"]
["c","b","trapezoid","c (player)","c (Robot 1)","c (Robot 2)","c (Robot 3)","c (Robot 4)","c*"]
[0,{"$f":"((1-alpha^beta)*(1-ca)^(N-1)+alpha^beta*(1-A3)^(N-1)+(N-1)*(1-alpha)^beta*A3*(1-A3)^(N-2))^(1/beta)","v":1},{"$f":"(B3+B4)*($A4-$A3)/2","v":9.9983335277691374E-5},{"$f":"IF($A3<=C_1,1*$C3,0)","v":9.9983335277691374E-5},{"$f":"IF($A3<=C_2,1*$C3,0)","v":9.9983335277691374E-5},{"$f":"IF($A3<=C_3,1*$C3,0)","v":9.9983335277691374E-5},{"$f":"IF($A3<=C_4,1*$C3,0)","v":9.9983335277691374E-5},{"$f":"IF($A3<=C_5,1*$C3,0)","v":9.9983335277691374E-5},{"$f":"IF($A3<=ca,1*$C3,0)","v":9.9983335277691374E-5}]
[1E-4,0.99966670555382731,{"$f":"(B4+B5)*(A5-A4)/2","v":9.9950009721444465E-5},0,0,0,0,0,9.9950009721444465E-5]
[2.0000000000000001E-4,0.99933348887506201,{"$f":"(B5+B6)*(A6-A5)/2","v":9.9916691941419794E-5},0,0,0,0,0,9.9916691941419794E-5]
[2.9999999999999997E-4,0.99900034995333464,9.9883381936580553E-5,0,0,0,0,0,9.9883381936580553E-5]
[4.0000000000000002E-4,0.99866728877827549,9.9850079705889541E-5,0,0,0,0,0,9.9850079705889541E-5]
[5.0000000000000001E-4,0.99833430533951539,9.9816785248309974E-5,0,0,0,0,0,9.9816785248309974E-5]
[5.9999999999999995E-4,0.99800139962668521,9.9783498562805179E-5,0,0,0,0,0,9.9783498562805179E-5]
[6.9999999999999999E-4,0.99766857162941724,9.9750219648338064E-5,0,0,0,0,0,9.9750219648338064E-5]
[8.0000000000000004E-4,0.99733582133734289,9.9716948503871805E-5,0,0,0,0,0,9.9716948503871805E-5]
[8.9999999999999998E-4,0.99700314874009444,9.9683685128369999E-5,0,0,0,0,0,9.9683685128369999E-5]
[1E-3,0.99667055382730463,9.9650429520795568E-5,0,0,0,0,0,9.9650429520795568E-5]
[1.1000000000000001E-3,0.99633803658860598,9.9617181680111742E-5,0,0,0,0,0,9.9617181680111742E-5]
[1.1999999999999999E-3,0.99600559701363212,9.9583941605282472E-5,0,0,0,0,0,9.9583941605282472E-5]
[1.2999999999999999E-3,0.99567323509201655,9.9550709295270529E-5,0,0,0,0,0,9.9550709295270529E-5]
[1.4E-3,0.99534095081339302,9.9517484749039496E-5,0,0,0,0,0,9.9517484749039496E-5]
[1.5E-3,0.99500874416739615,9.9484267965552849E-5,0,0,0,0,0,9.9484267965552849E-5]
[1.6000000000000001E-3,0.99467661514366001,9.9451058943773846E-5,0,0,0,0,0,9.9451058943773846E-5]
[1.6999999999999999E-3,0.99434456373182034,9.9417857682666669E-5,0,0,0,0,0,9.9417857682666669E-5]
[1.8E-3,0.9940125899215122,9.9384664181194224E-5,0,0,0,0,0,9.9384664181194224E-5]
[1.9E-3,0.99368069370237133,9.9351478438320284E-5,0,0,0,0,0,9.9351478438320284E-5]
[2E-3,0.99334887506403358,9.9318300453008271E-5,0,0,0,0,0,9.9318300453008271E-5]
[2.0999999999999999E-3,0.99301713399613523,9.928513022422269E-5,0,0,0,0,0,9.928513022422269E-5]
[2.2000000000000001E-3,0.99268547048831335,9.925196775092573E-5,0,0,0,0,0,9.925196775092573E-5]
[2.3E-3,0.9923538845302049,9.9218813032082425E-5,0,0,0,0,0,9.9218813032082425E-5]
[2.3999999999999998E-3,0.99202237611144695,9.9185666066656494E-5,0,0,0,0,0,9.9185666066656494E-5]
[2.5000000000000001E-3,0.99169094522167767,9.915252685361045E-5,0,0,0,0,0,9.915252685361045E-5]
[2.5999999999999999E-3,0.99135959185053468,9.9119395391909857E-5,0,0,0,0,0,9.9119395391909857E-5]
[2.7000000000000001E-3,0.99102831598765717,9.9086271680516849E-5,0,0,0,0,0,9.9086271680516849E-5]
[2.8E-3,0.99069711762268342,9.9053155718396648E-5,0,0,0,0,0,9.9053155718396648E-5]
[2.8999999999999998E-3,0.99036599674525272,9.9020047504513138E-5,0,0,0,0,0,9.9020047504513138E-5]
[3.0000000000000001E-3,0.99003495334500469,9.8986947037829008E-5,0,0,0,0,0,9.8986947037829008E-5]
[3.0999999999999999E-3,0.98970398741157883,9.8953854317309983E-5,0,0,0,0,0,9.8953854317309983E-5]
[3.2000000000000002E-3,0.98937309893461567,{"$f":"(B35+B36)*(A36-A35)/2","v":9.8920769341918387E-5},0,0,0,0,0,9.8920769341918387E-5]
[3.3E-3,0.98904228790375548,9.8887692110619565E-5,0,0,0,0,0,9.8887692110619565E-5]
[3.3999999999999998E-3,0.98871155430863922,9.8854622622377632E-5,0,0,0,0,0,9.8854622622377632E-5]
[3.5000000000000001E-3,0.98838089813890828,9.8821560876155424E-5,0,0,0,0,0,9.8821560876155424E-5]
[3.5999999999999999E-3,0.9880503193842034,9.8788506870918817E-5,0,0,0,0,0,9.8788506870918817E-5]
[3.7000000000000002E-3,0.98771981803416775,9.8755460605630377E-5,0,0,0,0,0,9.8755460605630377E-5]
[3.8E-3,0.98738939407844295,9.8722422079255574E-5,0,0,0,0,0,9.8722422079255574E-5]
[3.8999999999999998E-3,0.98705904750667184,9.8689391290758709E-5,0,0,0,0,0,9.8689391290758709E-5]
[4.0000000000000001E-3,0.98672877830849703,9.8656368239103217E-5,0,0,0,0,0,9.8656368239103217E-5]
[4.1000000000000003E-3,0.98639858647356204,9.8623352923253035E-5,0,0,0,0,0,9.8623352923253035E-5]
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[0.99980000000000002,4.6784283811388563E-13,2.5712936322496978E-17,0,0,0,0,0,0]
[0.99990000000000001,4.6415888336110504E-14,2.3207944168052695E-18,0,0,0,0,0,0]
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