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Unilateral stability in matching problems

Author

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  • Richter, Michael
  • Rubinstein, Ariel

Abstract

The canonical solution concept used in matching problems is pairwise stability, whose premise is that harmony is disrupted by any two agents intentionally leaving their partners to be with each other. We instead focus on scenarios in which harmony is disrupted merely by a single agent unilaterally initiating contact with a member of a different pair, whether or not his approach is reciprocated. A variety of solution concepts are proposed in which taboos, status, or power systematically limit such initiatives in order to achieve harmony.

Suggested Citation

  • Richter, Michael & Rubinstein, Ariel, 2024. "Unilateral stability in matching problems," Journal of Economic Theory, Elsevier, vol. 216(C).
    • Handle: RePEc:eee:jetheo:v:216:y:2024:i:c:s002205312300176x
    DOI: 10.1016/j.jet.2023.105780
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    References listed on IDEAS

    as
    1. Michael Richter & Ariel Rubinstein, 2015. "Back to Fundamentals: Equilibrium in Abstract Economies," American Economic Review, American Economic Association, vol. 105(8), pages 2570-2594, August.
    2. Michele Piccione & Ariel Rubinstein, 2007. "Equilibrium in the Jungle," Economic Journal, Royal Economic Society, vol. 117(522), pages 883-896, July.
    3. Richter, Michael & Rubinstein, Ariel, 2020. "The permissible and the forbidden," Journal of Economic Theory, Elsevier, vol. 188(C).
    4. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
    5. Joseph Root & David S. Ahn, 2020. "Incentives and Efficiency in Constrained Allocation Mechanisms," Papers 2006.06776, arXiv.org, revised Nov 2023.
    6. Rubinstein, Ariel & Yildiz, Kemal, 2022. "Equilibrium in a civilized jungle," Theoretical Economics, Econometric Society, vol. 17(3), July.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Herings, P.J.J., 2024. "Expectational Equilibria and Drèze Equilibria in Many-to-one Matching Models," Discussion Paper 2024-022, Tilburg University, Center for Economic Research.
    2. Herings, P.J.J., 2024. "Expectational Equilibria and Drèze Equilibria in Many-to-one Matching Models," Other publications TiSEM 2818f6ae-f3b0-4b5e-9222-a, Tilburg University, School of Economics and Management.
    3. Pongou, Roland & Tondji, Jean-Baptiste, 2024. "The reciprocity set," Journal of Mathematical Economics, Elsevier, vol. 112(C).

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    More about this item

    Keywords

    Matching problems; Pairwise stability; Unilateral stability;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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