Viossat, Yannick () (Dept. of Economics, Stockholm School of Economics)
Abstract
In (Viossat, 2006, "The replicator dynamics does not lead to correlated equilibria", forthcoming in Games and Economic Behavior), it was shown that the replicator dynamics may eliminate all pure strategies used in correlated equilibrium, so that only strategies that do not take part in any correlated equilibrium remain. Here, we generalize this result by showing that it holds for an open set of games, and for many other dynamics, including the best-response dynamics, the Brown-von Neumann-Nash dynamics and any monotonic or weakly sign-preserving dynamics satisfying some standard regularity conditions. For the replicator dynamics and the best-response dynamics, elimination of all strategies used in correlated equilibrium is shown to be robust to the addition of mixed strategies as new pure strategies.
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Length: 34 pages Date of creation: 15 May 2006 Date of revision:
21 Jun 2006 Handle: RePEc:hhs:hastef:0629
Note: The first version was called "Evolutionary dynamics do no lead to correlated equilibria" Contact details of provider: Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden Phone: +46-(0)8-736 90 00 Fax: +46-(0)8-31 01 57 Email: Web page: http://www.hhs.se/ More information through EDIRC
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Find related papers by JEL classification: C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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