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Evolutionary Selection against Iteratively Weakly Dominated Strategies

Author

Listed:
  • Bernergård, Axel

    (Department of Economics, Södertörn University)

  • Mohlin, Erik

    (Department of Economics, Lund University)

Abstract

This paper provides sufficient conditions under which convex monotonic evolutionary dynamics (a class of imitative dynamics that includes the replicator dynamic) select against strategies that do not survive iterated elimination of weakly dominated strategies. We apply these conditions to Bertrand duopolies, first-price auctions, finitely repeated Prisoner's Dilemmas, and the p-Beauty Contests. Our conditions also imply evolutionary selection against all iteratively strictly dominated strategies.

Suggested Citation

  • Bernergård, Axel & Mohlin, Erik, 2017. "Evolutionary Selection against Iteratively Weakly Dominated Strategies," Working Papers 2017:18, Lund University, Department of Economics, revised 12 Nov 2018.
  • Handle: RePEc:hhs:lunewp:2017_018
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    Cited by:

    1. Heller, Yuval & Kuzmics, Christoph, 2024. "Communication, renegotiation and coordination with private values," Games and Economic Behavior, Elsevier, vol. 143(C), pages 51-76.
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    3. Heller, Yuval & Kuzmics, Christoph, 2020. "Communication, Renegotiation and Coordination with Private Values (Extended Version)," MPRA Paper 102926, University Library of Munich, Germany, revised 26 Jul 2021.
    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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