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Evolutionary dynamics and dominated strategies

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  • Yannick Viossat

    (PSL, Université Paris-Dauphine, CEREMADE UMR 7534)

Abstract

Do evolutionary processes lead economic or biological agents to behave as if they were rational? To test this idea, many authors examined whether evolutionary game dynamics eliminate strictly dominated strategies. We survey, unify, and fill some gaps in this literature in the case of monotonic dynamics: a class of selection dynamics in which the growth rates of the pure strategies are ordered in accordance with their payoffs. We also survey results for other dynamics.

Suggested Citation

  • Yannick Viossat, 2015. "Evolutionary dynamics and dominated strategies," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 91-113, April.
    • Handle: RePEc:spr:etbull:v:3:y:2015:i:1:d:10.1007_s40505-014-0062-4
    DOI: 10.1007/s40505-014-0062-4
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    Cited by:

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    2. George Loginov, 2022. "Ordinal imitative dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 391-412, June.
    3. Bernergård, Axel & Mohlin, Erik, 2019. "Evolutionary selection against iteratively weakly dominated strategies," Games and Economic Behavior, Elsevier, vol. 117(C), pages 82-97.

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    More about this item

    Keywords

    As-if rationality; Evolutionary games; Dominated strategies; Replicator dynamics; Monotonic dynamics; Innovative dynamics;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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