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Alternative characterizations of the top trading cycles rule in housing markets

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  • Chen, Yajing
  • Zhao, Fang

Abstract

Building on Ma (1994) and Fujinaka and Wakayama (2018), this paper characterizes the top trading cycles rule in housing markets without the help of strategy-proofness, by the following two groups of axioms: individual rationality, Pareto efficiency, rank monotonicity; individual rationality, endowments-swapping-proofness, rank monotonicity.

Suggested Citation

  • Chen, Yajing & Zhao, Fang, 2021. "Alternative characterizations of the top trading cycles rule in housing markets," Economics Letters, Elsevier, vol. 201(C).
    • Handle: RePEc:eee:ecolet:v:201:y:2021:i:c:s0165176521000835
    DOI: 10.1016/j.econlet.2021.109806
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    References listed on IDEAS

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    1. Bird, Charles G., 1984. "Group incentive compatibility in a market with indivisible goods," Economics Letters, Elsevier, vol. 14(4), pages 309-313.
    2. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
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    4. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    5. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    6. Takamiya, Koji, 2001. "Coalition strategy-proofness and monotonicity in Shapley-Scarf housing markets," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 201-213, March.
    7. Bade, Sophie, 2019. "Matching with single-peaked preferences," Journal of Economic Theory, Elsevier, vol. 180(C), pages 81-99.
    8. Anno, Hidekazu, 2015. "A short proof for the characterization of the core in housing markets," Economics Letters, Elsevier, vol. 126(C), pages 66-67.
    9. 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.
    10. Fujinaka, Yuji & Wakayama, Takuma, 2018. "Endowments-swapping-proof house allocation," Games and Economic Behavior, Elsevier, vol. 111(C), pages 187-202.
    11. Ma, Jinpeng, 1994. "Strategy-Proofness and the Strict Core in a Market with Indivisibilities," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 75-83.
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    Cited by:

    1. Yajing Chen & Zhenhua Jiao & Chenfeng Zhang & Luosai Zhang, 2021. "The Machiavellian frontier of top trading cycles," Papers 2106.14456, arXiv.org, revised Apr 2024.

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    More about this item

    Keywords

    Housing market; Top trading cycles rule; Rank monotonicity; Characterizations;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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