Fully Polynomial-Time Approximation Schemes for Fair Rent Division

Published Online:https://doi.org/10.1287/moor.2021.1196

References

  • [1] Abdulkadiroglu A, Sönmez T, Utku Ünver M (2004) Room assignment-rent division: A market approach. Soc. Choice Welfare 22(3):515–538.CrossrefGoogle Scholar
  • [2] Alkan A (1989) Existence and computation of matching equilibria. Eur. J. Political Econom. 5(2-3):285–296.CrossrefGoogle Scholar
  • [3] Alkan A, Demange G, Gale D (1991) Fair allocation of indivisible goods and criteria of justice. Econometrica 59(4):1023–1039.CrossrefGoogle Scholar
  • [4] Andersson T, Ehlers L, Svensson L-G (2014) Budget balance, fairness, and minimal manipulability. Theorical Econom. 9(3):753–777.Google Scholar
  • [5] Aragones E (1995) A derivation of the money rawlsian solution. Soc. Choice Welfare 12(3):267–276.CrossrefGoogle Scholar
  • [6] Arunachaleswaran ER, Barman S, Rathi N (2018) Fully polynomial-time approximation schemes for fair rent division. Preprint, submitted July 11, https://arxiv.org/abs/1807.04163.Google Scholar
  • [7] Azrieli Y, Shmaya E (2014) Rental harmony with roommates. J. Econom. Theory 153:128–137.CrossrefGoogle Scholar
  • [8] Brams SJ, Kilgour DM (2001) Competitive fair division. J. Political Econom. 109(2):418–443.CrossrefGoogle Scholar
  • [9] Brams SJ, Taylor AD (1996) Fair Division: From Cake-Cutting to Dispute Resolution (Cambridge University Press, Cambridge, UK).CrossrefGoogle Scholar
  • [10] Brandt F, Conitzer V, Endris U, Lang J, Procaccia AD (2016) Handbook of Computational Social Choice (Cambridge University Press, Cambridge, UK).CrossrefGoogle Scholar
  • [11] Daskalakis C, Fabrikant A, Papadimitriou CH (2006) The game world is flat: The complexity of Nash equilibria in succinct games. ICALP Internat. Colloquium on Automata, Languages, and Programming (Springer, Berlin, Heidelberg), 513–524.CrossrefGoogle Scholar
  • [12] Demange G (1982) Strategyproofness in the Assignment Market Game (Laboratoire d’économétrie de l’École Polytechnique).Google Scholar
  • [13] Demange G, Gale D (1985) The strategy structure of two-sided matching markets. Econometrica 53(4):873–888.CrossrefGoogle Scholar
  • [14] Deng X, Qi Q, Saberi A (2012) Algorithmic solutions for envy-free cake cutting. Oper. Res. 60(6):1461–1476.LinkGoogle Scholar
  • [15] Foley DK (1967) Resource Allocation and the Public Sector (Yale Economic Essays, New Haven, CT).Google Scholar
  • [16] Gal Y, Mash M, Procaccia AD, Zick Y (2017) Which is the fairest (rent division) of them all? J. ACM 64(6):1–22.CrossrefGoogle Scholar
  • [17] Gale D (1960) The Theory of Linear Economic Models (University of Chicago Press, Chicago).Google Scholar
  • [18] Green JR, Laffont JJ (1979) Incentives in Public Decision Making (North-Holland).Google Scholar
  • [19] Johnson DS, Papadimitriou CH, Yannakakis M (1988) How easy is local search? J. Comput. System Sci. 37(1):79–100.CrossrefGoogle Scholar
  • [20] Knaster B, Kuratowski C, Mazurkiewicz S (1929) Ein beweis des fixpunktsatzes für n-dimensionale simplexe. Fundamenta Math. 14(1):132–137.CrossrefGoogle Scholar
  • [21] Mas-Colell A, Whinston MD, Green JR, et al. (1995) Microeconomic Theory, vol. 1 (Oxford University Press, New York).Google Scholar
  • [22] Meunier F, Mulzer W, Sarrabezolles P, Stein Y (2017) The rainbow at the end of the line: a ppad formulation of the colorful carathéodory theorem with applications. Proc. 28th Annual ACM-SIAM Sympos. on Discrete Algorithms (Society for Industrial and Applied Mathematics), 1342–1351.Google Scholar
  • [23] Moulin H (2016) Handbook of Computational Social Choice (Cambridge University Press, Cambridge, UK).Google Scholar
  • [24] Papadimitriou CH (1994) On the complexity of the parity argument and other inefficient proofs of existence. J. Comput. System Sci. 48(3):498–532.CrossrefGoogle Scholar
  • [25] Procaccia AD, Velez RA, Yu D (2018) Fair rent division on a budget. Proc. 32nd AAAI Conf. on Artificial Intelligence.Google Scholar
  • [26] Quinzii M (1984) Core and competitive equilibria with indivisibilities. Internat. J. Game Theory 13(1):41–60.CrossrefGoogle Scholar
  • [27] Shapley LS, Shubik M (1971) The assignment game I: The core. Internat. J. Game Theory 1(1):111–130.CrossrefGoogle Scholar
  • [28] Stromquist W (1980) How to cut a cake fairly. Amer. Math. Monthly 87(8):640–644.CrossrefGoogle Scholar
  • [29] Su FE (1999) Rental harmony: Sperner’s lemma in fair division. Amer. Math. Monthly 106(10):930–942.CrossrefGoogle Scholar
  • [30] Sun N, Yang Z (2001) On fair allocations with indivisibilities. DP No. 1347, Cowles Foundation, Yale University, New Haven.Google Scholar
  • [31] Sun N, Yang Z (2003) A general strategy proof fair allocation mechanism. Econom. Lett. 81(1):73–79.CrossrefGoogle Scholar
  • [32] Svensson LG (1983) Large indivisibles: An analysis with respect to price equilibrium and fairness. Econometrica 51(4):939–954.CrossrefGoogle Scholar
  • [33] Varian HR (1974) Equity, envy, and efficiency. J. Econom. Theory 9(1):63–91.CrossrefGoogle Scholar
  • [34] Velez RA (2011) Are incentives against economic justice? J. Econom. Theory 146(1):326–345.CrossrefGoogle Scholar
  • [35] Velez RA (2018) Equitable rent division. ACM Trans. Econom. Comput. 6(2):1–25.CrossrefGoogle Scholar
  • [36] Velez RA (2020) A polynomial algorithm for maxmin and minmax envy-free rent division on a soft budget. Preprint, submitted February 7, https://arxiv.org/abs/2002.02966.Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.