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Evolutionary Stability for Large Populations

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  • Ziv Gorodeisky

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    Abstract

    It has been shown (Hart [2002]) that the backward induction (or subgame-perfect) equilibrium of a perfect information game is the unique stable outcome for dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large, under the assumption that the expected number of mutations per generation is bounded away from zero. Here it is shown that one can dispense with this last condition. In particular, it follows that the backward induction equilibrium is evolutionarily stable for large populations.

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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp312.pdf
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    Bibliographic Info

    Paper provided by The Center for the Study of Rationality, Hebrew University, Jerusalem in its series Discussion Paper Series with number dp312.

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    Length: 32 pages
    Date of creation: Apr 2003
    Date of revision:
    Publication status: Published in Mathematics of Operation Research, 2006, vol. 31, pp. 369-380.
    Handle: RePEc:huj:dispap:dp312

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    Keywords: Evolutionary Dynamics; Evolutionary Stability; Markov Chains; Transition Times; Backward Induction Equilibrium; Large Populations;

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    1. Sergiu Hart, 1999. "Evolutionary Dynamics and Backward Induction," Game Theory and Information 9905002, EconWPA, revised 23 Mar 2000.
    2. Noldeke Georg & Samuelson Larry, 1993. "An Evolutionary Analysis of Backward and Forward Induction," Games and Economic Behavior, Elsevier, vol. 5(3), pages 425-454, July.
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