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Equivalence theorem in matching with contracts

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  • Yusuke Iwase

    (The University of Tokyo)

Abstract

This study considers the doctor-optimal stable mechanism in a matching-with-contract model (a doctor-hospital match, for instance). We show that, whenever the doctor-optimal stable mechanism exists, the mechanism is group strategy-proof if and only if it is efficient if and only if it is Maskin monotonic, all from the doctors’ side. Moreover, with substitutes and the law of aggregate demand, we find that the mechanism is consistent if and only if it is efficient.

Suggested Citation

  • Yusuke Iwase, 2022. "Equivalence theorem in matching with contracts," Review of Economic Design, Springer;Society for Economic Design, vol. 26(1), pages 117-125, March.
    • Handle: RePEc:spr:reecde:v:26:y:2022:i:1:d:10.1007_s10058-021-00257-4
    DOI: 10.1007/s10058-021-00257-4
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    References listed on IDEAS

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    1. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
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    3. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    4. Toyotaka Sakai, 2011. "A note on strategy-proofness from the doctor side in matching with contracts," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 337-342, December.
    5. Takamiya, Koji, 2001. "Coalition strategy-proofness and monotonicity in Shapley-Scarf housing markets," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 201-213, March.
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    11. Hatfield, John William & Kojima, Fuhito, 2010. "Substitutes and stability for matching with contracts," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1704-1723, September.
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    Cited by:

    1. Adriana Amieva & Agust'in Bonifacio & Pablo Neme, 2024. "Mechanisms for a dynamic many-to-many school choice problem," Papers 2411.07851, arXiv.org.

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    More about this item

    Keywords

    Matching with contracts; Doctor-optimal stable mechanism;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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