Fair-Share Allocations for Agents with Arbitrary Entitlements

Published Online:https://doi.org/10.1287/moor.2021.0199

References

  • [1] Akrami H, Garg J (2023) Breaking the 3/4 barrier for approximate maximin share. Preprint, submitted July 14, https://arxiv.org/abs/2307.07304.Google Scholar
  • [2] Akrami H, Garg J, Sharma E, Taki S (2023) Simplification and improvement of MMS approximation. Preprint, submitted March 29, https://arxiv.org/abs/2303.16788.Google Scholar
  • [3] Amanatidis G, Markakis E, Nikzad A, Saberi A (2017) Approximation algorithms for computing maximin share allocations. ACM Trans. Algorithms 13(4):1–28.CrossrefGoogle Scholar
  • [4] Amanatidis G, Aziz H, Birmpas G, Filos-Ratsikas A, Li B, Moulin H, Voudouris AA, Wu X (2022) Fair division of indivisible goods: A survey. Preprint, submitted February 15, https://arxiv.org/abs/2208.08782.Google Scholar
  • [5] Aziz H, Chan H, Li B (2019) Weighted maxmin fair share allocation of indivisible chores. Kraus S, ed. Proc. 28th Internat. Joint Conf. Artificial Intelligence, 46–52.Google Scholar
  • [6] Aziz H, Moulin H, Sandomirskiy F (2020) A polynomial-time algorithm for computing a Pareto optimal and almost proportional allocation. Oper. Res. Lett. 48(5):573–578.CrossrefGoogle Scholar
  • [7] Babaioff M, Ezra T, Feige U (2021) Fair-share allocations for agents with arbitrary entitlements. Preprint, submitted March 7, https://arxiv.org/abs/2103.04304.Google Scholar
  • [8] Babaioff M, Ezra T, Feige U (2022) On best-of-both-worlds fair-share allocations. Hansen KA, Liu TX, Malekian A, eds. Web Internet Econom. 18th Internat. Conf. Proc., Lecture Notes in Computer Science, vol. 13778, 237–255.Google Scholar
  • [9] Babaioff M, Nisan N, Talgam-Cohen I (2021) Competitive equilibrium with indivisible goods and generic budgets. Math. Oper. Res. 46(1):382–403.LinkGoogle Scholar
  • [10] Barman S, Krishnamurthy SK (2019) On the proximity of markets with integral equilibria. 33rd AAAI Conf. Artificial Intelligence, 1748–1755.Google Scholar
  • [11] Barman S, Krishnamurthy SK (2020) Approximation algorithms for maximin fair division. ACM Trans. Econom. Comput. 8(1):1–28.CrossrefGoogle Scholar
  • [12] Bouveret S, Chevaleyre Y, Maudet N. (2016) Fair allocation of indivisible goods. Brandt F, Conitzer V, Endriss U, Lang J, Procaccia AD, eds. Handbook of Computational Social Choice (Cambridge University Press, Cambridge), 284–310.CrossrefGoogle Scholar
  • [13] Brams SJ, Taylor AD (1996) Fair Division: From Cake-Cutting to Dispute Resolution (Cambridge University Press, Cambridge).CrossrefGoogle Scholar
  • [14] Budish E (2011) The combinatorial assignment problem: Approximate competitive equilibrium from equal incomes. J. Political Econom. 119(6):1061–1103.CrossrefGoogle Scholar
  • [15] Caragiannis I, Kurokawa D, Moulin H, Procaccia AD, Shah N, Wang J (2019) The unreasonable fairness of maximum Nash welfare. ACM Trans. Econom. Comput. 7(3):1–32.CrossrefGoogle Scholar
  • [16] Chakraborty M, Schmidt-Kraepelin U, Suksompong W (2021) Picking sequences and monotonicity in weighted fair division. Artificial Intelligence 301:103578.CrossrefGoogle Scholar
  • [17] Chakraborty M, Segal-Halevi E, Suksompong W (2022) Weighted fairness notions for indivisible items revisited. Proc. Conf. AAAI Artificial Intelligence, vol. 36, 4949–4956.Google Scholar
  • [18] Chakraborty M, Igarashi A, Suksompong W, Zick Y (2021) Weighted envy-freeness in indivisible item allocation. ACM Trans. Econom. Comput. 9(3):1–39.CrossrefGoogle Scholar
  • [19] Farhadi A, Ghodsi M, Hajiaghayi MT, Lahaie S, Pennock D, Seddighin M, Seddighin S, Yami H (2019) Fair allocation of indivisible goods to asymmetric agents. J. Artificial Intelligence Res. 64(1):1–20.CrossrefGoogle Scholar
  • [20] Feige U, Huang X (2023) On picking sequences for chores. ACM Conf. Econom. Comput., 626–655.Google Scholar
  • [21] Feige U, Sapir A, Tauber L (2021) A tight negative example for MMS fair allocations. Internat. Conf. Web Internet Econom. (Springer, New York), 355–372.Google Scholar
  • [22] Garey MR, Johnson DS (1990) Computers and Intractability; A Guide to the Theory of NP-Completeness (W. H. Freeman & Co., New York).Google Scholar
  • [23] Garg J, Taki S (2020) An improved approximation algorithm for maximin shares. Proc. 21st ACM Conf. Econom. Comput., 379–380.Google Scholar
  • [24] Garg J, Husić E, Végh LA (2021) Approximating Nash social welfare under rado valuations. Proc. 53rd Annual ACM SIGACT Sympos. Theory Comput., 1412–1425.Google Scholar
  • [25] Garg J, McGlaughlin P, Taki S (2019) Approximating maximin share allocations. Second Sympos. Simplicity Algorithms, vol. 69, 1–11.Google Scholar
  • [26] Garg J, Husic E, Murhekar A, Végh LA (2022) Tractable fragments of the maximum Nash welfare problem. Hansen KA, Liu TX, Malekian A, eds. Web Internet Econom. 18th Internat. Conf. Proc., Lecture Notes in Computer Science, vol. 13778, 362–363.Google Scholar
  • [27] Ghodsi M, Hajiaghayi MT, Seddighin M, Seddighin S, Yami H (2018) Fair allocation of indivisible goods: Improvements and generalizations. Proc. 2018 ACM Conf. Econom. Comput. (ACM, New York), 539–556.Google Scholar
  • [28] Hoefer M, Schmalhofer M, Varricchio G (2023) Best of both worlds: Agents with entitlements. Internat. Conf. Autonomous Agents Multiagent Systems, 564–572.Google Scholar
  • [29] Huang Z, Devanur NR, Malec DL (2012) Sequential auctions of identical items with budget-constrained bidders. Preprint, submitted September 8, https://arxiv.org/abs/1209.1698.Google Scholar
  • [30] Kurokawa D, Procaccia AD, Wang J (2018) Fair enough: Guaranteeing approximate maximin shares. J. ACM, 65(2):1–27.CrossrefGoogle Scholar
  • [31] Lazarus AJ, Loeb DE, Propp JG, Stromquist WR, Ullman DH (1999) Combinatorial games under auction play. Games Econom. Behav. 27(2):229–264.CrossrefGoogle Scholar
  • [32] Li B, Li Y, Wu X (2022) Almost (weighted) proportional allocations for indivisible chores. Proc. ACM Web Conf, 122–131.Google Scholar
  • [33] Lipton RJ, Markakis E, Mossel E, Saberi A (2004) On approximately fair allocations of indivisible goods. Proc. Fifth ACM Conf. Electronic Commerce, 125–131.Google Scholar
  • [34] Meir R, Kalai G, Tennenholtz M (2018) Bidding games and efficient allocations. Games Econom. Behav. 112:166–193.CrossrefGoogle Scholar
  • [35] Moulin H (2004) Fair Division and Collective Welfare (MIT Press, Cambridge, MA).Google Scholar
  • [36] Segal-Halevi E (2019) The maximin share dominance relation. Preprint, submitted December 18, https://arxiv.org/abs/1912.08763.Google Scholar
  • [37] Segal-Halevi E (2020) Competitive equilibrium for almost all incomes: Existence and fairness. Autonomous Agents Multi Agent Systems 34(1):1–50.CrossrefGoogle Scholar
  • [38] Suksompong W, Teh N (2022) On maximum weighted Nash welfare for binary valuations. Math. Social Sci. 117:101–108.CrossrefGoogle Scholar
  • [39] Varian HR (1974) Equity, envy, and efficiency. J. Econom. Theory 9(1):63–91.CrossrefGoogle Scholar
  • [40] Woeginger GJ (1997) A polynomial-time approximation scheme for maximizing the minimum machine completion time. Oper. Res. Lett. 20(4):149–154.CrossrefGoogle 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.