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Evolutionary Dynamics for Large Populations in Games with Multiple Backward Induction Equilibria

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  • Tomer Wexler

Abstract

This work follows “Evolutionary dynamics and backward induction” (Hart [2000]) in the study of dynamic models consisting of selection and mutation, when the mutation rate is low and the populations are large. Under the assumption that there is a single backward induction (or subgame perfect) equilibrium of a perfect information game, Hart [2000] proved that this point is the only stable state. In this work, we examine the case where there are multiple backward induction equilibria.

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  • Tomer Wexler, 2005. "Evolutionary Dynamics for Large Populations in Games with Multiple Backward Induction Equilibria," Discussion Paper Series dp402, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp402
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    References listed on IDEAS

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    1. Ziv Gorodeisky, 2003. "Evolutionary Stability for Large Populations," Discussion Paper Series dp312, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    2. Hart, Sergiu, 2002. "Evolutionary dynamics and backward induction," Games and Economic Behavior, Elsevier, vol. 41(2), pages 227-264, November.
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