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Evolutionary selection against iteratively weakly dominated strategies

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  • Bernergård, Axel
  • Mohlin, Erik

Abstract

This paper provides sufficient conditions under which regular payoff monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive a sequence of iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies and first-price auctions. Our conditions also imply evolutionary selection against iteratively strictly dominated strategies.

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  • Bernergård, Axel & Mohlin, Erik, 2019. "Evolutionary selection against iteratively weakly dominated strategies," Games and Economic Behavior, Elsevier, vol. 117(C), pages 82-97.
    • Handle: RePEc:eee:gamebe:v:117:y:2019:i:c:p:82-97
    DOI: 10.1016/j.geb.2019.05.009
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    Cited by:

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    3. Heller, Yuval & Kuzmics, Christoph, 2024. "Communication, renegotiation and coordination with private values," Games and Economic Behavior, Elsevier, vol. 143(C), pages 51-76.
    4. Christoph Kuzmics & Daniel Rodenburger, 2020. "A case of evolutionarily stable attainable equilibrium in the laboratory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 685-721, October.
    5. Ellingsen, Tore & Mohlin, Erik, 2019. "Decency," Working Papers 2019:3, Lund University, Department of Economics.

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    More about this item

    Keywords

    Iterated elimination of weakly dominated strategies; Iterated admissibility; Payoff monotonicity; Convex monotonicity; Evolutionary dynamics; Replicator dynamic;
    All these keywords.

    JEL classification:

    • 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

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