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Stable matching and protocol-free equilibrium

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  • Okada, Akira

Abstract

We consider a non-cooperative decentralized matching game as sequential bargaining. A protocol-free equilibrium is a subgame perfect equilibrium which is robust to a choice of a bargaining protocol. We show that a matching is generated in a protocol-free equilibrium if and only if it is stable. The bargaining game can be applied to a wide class of matching problems including marriage problems, college admissions problems, matching with contracts, assignment games, and cooperative NTU games.

Suggested Citation

  • Okada, Akira, 2021. "Stable matching and protocol-free equilibrium," Games and Economic Behavior, Elsevier, vol. 128(C), pages 193-201.
    • Handle: RePEc:eee:gamebe:v:128:y:2021:i:c:p:193-201
    DOI: 10.1016/j.geb.2021.04.006
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    1. Kamishiro, Yusuke & Vohra, Rajiv & Serrano, Roberto, 2023. "Signaling, screening, and core stability," Journal of Economic Theory, Elsevier, vol. 213(C).

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    More about this item

    Keywords

    Decentralized market; Many-to-one matching; Protocol-free equilibrium; Sequential bargaining; Stability;
    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

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