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Credibility, efficiency, and stability: a theory of dynamic matching markets

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  • Morimitsu Kurino

    (Keio University)

Abstract

We introduce a dynamic framework to analyze two-sided matching interactions that occur repeatedly over time, such as teacher–student matching or hospital–intern markets in Britain. We propose a dynamic concept of credible group stability and show that implementing a men-optimal stable matching in each period is credibly group-stable. The result holds for a women-optimal stable matching. A credibly group-stable dynamic matching is individually rational and immune to any defensible group deviations with an appropriate definition of defensibility. We obtain several policy implications for market design. Moreover, a sufficient condition for Pareto efficiency is given for finitely repeated markets.

Suggested Citation

  • Morimitsu Kurino, 2020. "Credibility, efficiency, and stability: a theory of dynamic matching markets," The Japanese Economic Review, Springer, vol. 71(1), pages 135-165, January.
    • Handle: RePEc:spr:jecrev:v:71:y:2020:i:1:d:10.1007_s42973-019-00004-z
    DOI: 10.1007/s42973-019-00004-z
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    References listed on IDEAS

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    Cited by:

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    3. Hirata, Daisuke & Kasuya, Yusuke & Tomoeda, Kentaro, 2023. "Weak stability against robust deviations and the bargaining set in the roommate problem," Journal of Mathematical Economics, Elsevier, vol. 105(C).
    4. Matsui, Akihiko & Murakami, Megumi, 2022. "Deferred acceptance algorithm with retrade," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 50-65.
    5. Hirata, Daisuke & Kasuya, Yusuke & Tomoeda, Kentaro, 2021. "Stability against robust deviations in the roommate problem," Games and Economic Behavior, Elsevier, vol. 130(C), pages 474-498.
    6. Ramesh Johari & Vijay Kamble & Yash Kanoria, 2021. "Matching While Learning," Operations Research, INFORMS, vol. 69(2), pages 655-681, March.
    7. Naonori Kakimura & Donghao Zhu, 2021. "Dynamic Bipartite Matching Market with Arrivals and Departures," Papers 2110.10824, arXiv.org.

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    More about this item

    Keywords

    Dynamic matching market; Credibility; Efficiency; Group stability;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design

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