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Time Average Replicator and Best Reply Dynamics

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Author Info
Josef Hofbauer () (Department of Mathematics, University of Vienna - Universität Wien)
Sylvain Sorin () (EC - Equipe de Combinatoire - CNRS : UMR7090 - Université Pierre et Marie Curie - Paris VI, Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)
Yannick Viossat () (CEREMADE - CEntre de REcherches en MAthématiques de la DEcision - CNRS : UMR7534 - Université Paris Dauphine - Paris IX)

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Abstract

Using an explicit representation in terms of the logit map we show, in a unilateral framework, that the time average of the replicator dynamics is a perturbed solution of the best reply dynamics.

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Paper provided by HAL in its series Working Papers with number hal-00360767_v1.

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Date of creation: 2008
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Handle: RePEc:hal:wpaper:hal-00360767_v1

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Related research
Keywords: replicator dynamics; best reply dynamics; logit map; perturbed differential inclusion; internally chain transitive set; attractor;

References listed on IDEAS
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  1. Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, vol. 68(5), pages 1127-1150, September.
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  2. Gaunersdorfer Andrea & Hofbauer Josef, 1995. "Fictitious Play, Shapley Polygons, and the Replicator Equation," Games and Economic Behavior, Elsevier, vol. 11(2), pages 279-303, November. [Downloadable!] (restricted)
  3. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-67, May. [Downloadable!] (restricted)
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This page was last updated on 2009-11-28.

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