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Local stability under evolutionary game dynamics

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  • Sandholm, William H.

    ()
    (Department of Economics, University of Wisconsin)

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    Abstract

    We prove that any regular ESS is asymptotically stable under any impartial pairwise comparison dynamic, including the Smith dynamic; under any separable excess payoff dynamic, including the BNN dynamic; and under the best response dynamic. Combined with existing results for imitative dynamics, our analysis validates the use of ESS as a blanket sufficient condition for local stability under evolutionary game dynamics.

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    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20100027/3305/137
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    Bibliographic Info

    Article provided by Econometric Society in its journal Theoretical Economics.

    Volume (Year): 5 (2010)
    Issue (Month): 1 (January)
    Pages:

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    Handle: RePEc:the:publsh:505

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    Web page: http://econtheory.org

    Related research

    Keywords: Evolutionary game dynamics; ESS;

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    Cited by:
    1. Sirghi Nicoleta, 2013. "The Theory Of The Firm And The Evolutionary Games," Annals of Faculty of Economics, University of Oradea, Faculty of Economics, vol. 1(1), pages 533-542, July.
    2. Heller, Yuval, 2014. "Stability and trembles in extensive-form games," Games and Economic Behavior, Elsevier, vol. 84(C), pages 132-136.
    3. Heller, Yuval, 2013. "Language, Meaning, and Games: Comment," MPRA Paper 49375, University Library of Munich, Germany.
    4. Sandholm, William H. & Tercieux, Olivier & Oyama, Daisuke, 0. "Sampling best response dynamics and deterministic equilibrium selection," Theoretical Economics, Econometric Society.
    5. Heller, Yuval, 2013. "Stability and trembles in extensive-form games," MPRA Paper 48160, University Library of Munich, Germany.

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