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A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem

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  • Karpov, Alexander

Abstract

The paper develops a new extension of the sequential preference condition, which leads to unique stable matching in all subpopulations, obtained by consistent restrictions of the marriage matching problem. Under the new condition, the Gale–Shapley algorithm is stable, consistent, strategy-proof, Pareto optimal for men, and Pareto optimal for women.

Suggested Citation

  • Karpov, Alexander, 2019. "A necessary and sufficient condition for uniqueness consistency in the stable marriage matching problem," Economics Letters, Elsevier, vol. 178(C), pages 63-65.
    • Handle: RePEc:eee:ecolet:v:178:y:2019:i:c:p:63-65
    DOI: 10.1016/j.econlet.2019.02.022
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    References listed on IDEAS

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    1. Legros, Patrick & Newman, Andrew, 2010. "Co-ranking mates: Assortative matching in marriage markets," Economics Letters, Elsevier, vol. 106(3), pages 177-179, March.
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    10. Wu, Qinggong, 2015. "A finite decentralized marriage market with bilateral search," Journal of Economic Theory, Elsevier, vol. 160(C), pages 216-242.
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    Cited by:

    1. Meisner, Vincent & von Wangenheim, Jonas, 2019. "School Choice and Loss Aversion," Rationality and Competition Discussion Paper Series 208, CRC TRR 190 Rationality and Competition.
    2. Vincent Iehlé & Julien Jacqmin, 2023. "SIGEM : analyse de la procédure d’affectation dans les grandes écoles de management," Revue économique, Presses de Sciences-Po, vol. 74(2), pages 139-168.
    3. Bnaya Dreyfuss & Ofer Glicksohn & Ori Heffetz & Assaf Romm, 2022. "Deferred Acceptance with News Utility," NBER Working Papers 30635, National Bureau of Economic Research, Inc.

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    More about this item

    Keywords

    Market partition paradox; Stability; Consistency; Interrupter;
    All these keywords.

    JEL classification:

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

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