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New axioms for deferred acceptance

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  • Yajing Chen

    (East China University of Science and Technology)

Abstract

We study the problem of allocating a set of indivisible objects to a set of agents based on agents’ preferences over objects and objects’ “choice functions” over agents, when monetary transfers are not allowed. Following Kojima and Manea (Econometrica 78(2):633–653, 2010) and Morrill (Int J Game Theory 42(1):19–28, 2013a), this paper provides four characterizations of the agent-proposing deferred acceptance allocation rule for all acceptant substitutable choice functions. It is the only rule satisfying any one of the following groups of axioms: (1) stability, rank monotonicity; (2) non-wastefulness, top best, weak consistency, rank monotonicity; (3) non-wastefulness, strong top best, weak Maskin monotonicity; (4) non-wastefulness, strong group rationality, rank monotonicity. These results suggested that two new axioms: rank monotonicity and weak consistency, deserve further attention. They also shed light on what distinguishes the agent-proposing deferred acceptance rule from the other rules.

Suggested Citation

  • Yajing Chen, 2017. "New axioms for deferred acceptance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 393-408, February.
    • Handle: RePEc:spr:sochwe:v:48:y:2017:i:2:d:10.1007_s00355-016-1010-z
    DOI: 10.1007/s00355-016-1010-z
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    References listed on IDEAS

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    Cited by:

    1. Ryo Shirakawa, 2022. "Coordinated Strategic Manipulations and Mechanisms in School Choice," Discussion Paper Series DP2022-25, Research Institute for Economics & Business Administration, Kobe University.
    2. Chen, Yajing & Zhao, Fang, 2021. "Alternative characterizations of the top trading cycles rule in housing markets," Economics Letters, Elsevier, vol. 201(C).
    3. Siwei Chen & Yajing Chen & Chia‐Ling Hsu, 2023. "New axioms for top trading cycles," Bulletin of Economic Research, Wiley Blackwell, vol. 75(4), pages 1064-1077, October.
    4. Battal Doğan & M. Bumin Yenmez, 2023. "When does an additional stage improve welfare in centralized assignment?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1145-1173, November.
    5. Battal Doğan & M. Bumin Yenmez, 2020. "Consistent Pareto improvement over the student-optimal stable mechanism," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 125-137, April.
    6. Yoichi Kasajima & Manabu Toda, 2021. "Singles monotonicity and stability in one-to-one matching problems," Working Papers 2023-1, Waseda University, Faculty of Political Science and Economics.

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