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Evolution and Rawlsian social choice in matching

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  • Bilancini, Ennio
  • Boncinelli, Leonardo
  • Newton, Jonathan

Abstract

This paper considers the marriage problem under dynamic rematching. It is shown that if players who obtain higher payoffs are less likely to experiment with non-best response behavior, then matchings selected in the long run will belong to the set of Rawlsian stable matchings – the set of stable matchings which maximize the payoff of the worst off player. Conversely, alternative behavioral rules will fail to select Rawlsian stable matchings in some environments. This constitutes an evolutionary axiomatization of Rawlsian stable matchings in terms of the behavioral rules that give rise to them.

Suggested Citation

  • Bilancini, Ennio & Boncinelli, Leonardo & Newton, Jonathan, 2020. "Evolution and Rawlsian social choice in matching," Games and Economic Behavior, Elsevier, vol. 123(C), pages 68-80.
  • Handle: RePEc:eee:gamebe:v:123:y:2020:i:c:p:68-80
    DOI: 10.1016/j.geb.2020.06.004
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    Cited by:

    1. Hidemasa Ishii & Nariaki Nishino, 2022. "Asymptotically stable matchings and evolutionary dynamics of preference revelation games in marriage problems," Papers 2205.08079, arXiv.org.

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    More about this item

    Keywords

    Evolution; Stochastic stability; Matching; Rawlsian;
    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
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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