On the elimination of dominated strategies in stochastic models of evolution with large populations
AbstractA stochastic myopic best-reply dynamics is said to have property (W), for a given number of players n, if every pure weakly dominated strategy in every n-player game is eliminated in the long-run distribution of play induced by the dynamics. In this paper I give a necessary and sufficient condition that a dynamics has to satisfy in order for it to have property (W). The key determinant is found to be the sensitivity of the learning-rate to small payoff differences, inherent in the dynamics. If this sensitivity is higher than a certain cut-off, which depends on the number of players, then the dynamics satisfies property (W). If it is equal to or below that cut-off, then the dynamics does not satisfy property (W).
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 72 (2011)
Issue (Month): 2 (June)
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Web page: http://www.elsevier.com/locate/inca/622836
Learning Experimentation S[infinity]W-procedure Weak dominance Iterated strict dominance;
Other versions of this item:
- Christoph Kuzmics, 2007. "On the elimination of dominated strategies in stochastic models of evolution with large populations," Levine's Bibliography 321307000000000943, UCLA Department of Economics.
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