On the Interpretation of Evolutionary Stable Sets
AbstractWe call a set of strategies "uniformly evolutionary stable" if the following holds after a small mutation of a monomorphic population playing a strategy in the set: a) No mutant strategy can spread. b) Mutant strategies not in the set will be driven out. c) The meaning of a "small mutation" can be chosen independently of both the mutant and the incumbent strategy. We consider our notion an intuitive extension of the concept of an evolutionarily stable strategy. We show that our notion coincides with the notion of evolutionarily stable sets due to Thomas  in the case of bimatrix games, but it is stronger in general. As an application we study uniformly evolutionarily stable sets in truly asymmetric contest.
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Bibliographic InfoPaper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 313.
Date of creation: Jul 1996
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evolutionarily stable set; evolutionarily stable strategy; neutral stability; strict equilibrium; mixed strategy model; asymmetric contest;
Other versions of this item:
- Balkenborg, D. & Schlag, K.H., 1997. "On the interpretation of evolutionarily stable sets," Discussion Paper Series In Economics And Econometrics 9710, Economics Division, School of Social Sciences, University of Southampton.
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
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- Daniel Friedman, 1998.
"On economic applications of evolutionary game theory,"
Journal of Evolutionary Economics,
Springer, vol. 8(1), pages 15-43.
- Daniel Friedman, 2010. "On Economic Applications of Evolutionary Game Theory," Levine's Working Paper Archive 53, David K. Levine.
- Sjaak Hurkens & Karl H. Schlag, 1999. "Communication, coordination and efficiency in evolutionary one-population models," Economics Working Papers 387, Department of Economics and Business, Universitat Pompeu Fabra.
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