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Evolutionary dynamics and dominated strategies

Author

Listed:
  • Yannick Viossat

    (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - Université Paris Dauphine-PSL - PSL - Université Paris Sciences et Lettres - CNRS - Centre National de la Recherche Scientifique)

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," Post-Print hal-01253535, HAL.
    • Handle: RePEc:hal:journl:hal-01253535
    DOI: 10.1007/s40505-014-0062-4
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    Cited by:

    1. George Loginov, 2022. "Ordinal imitative dynamics," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 391-412, June.
    2. Benjamin Wölfl & Hedy te Rietmole & Monica Salvioli & Artem Kaznatcheev & Frank Thuijsman & Joel S. Brown & Boudewijn Burgering & Kateřina Staňková, 2022. "The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer," Dynamic Games and Applications, Springer, vol. 12(2), pages 313-342, 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.
    4. Jakub Bielawski & {L}ukasz Cholewa & Fryderyk Falniowski, 2024. "The emergence of chaos in population game dynamics induced by comparisons," Papers 2412.06037, arXiv.org, revised Apr 2025.

    More about this item

    Keywords

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    JEL classification:

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

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