Local stability under evolutionary game dynamics
AbstractWe prove that any regular ESS is asymptotically stable under any impartial pairwise comparison dynamic, including the Smith dynamic; under any separable excess payoff dynamic, including the BNN dynamic; and under the best response dynamic. Combined with existing results for imitative dynamics, our analysis validates the use of ESS as a blanket sufficient condition for local stability under evolutionary game dynamics.
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Bibliographic InfoArticle provided by Econometric Society in its journal Theoretical Economics.
Volume (Year): 5 (2010)
Issue (Month): 1 (January)
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Web page: http://econtheory.org
Evolutionary game dynamics; ESS;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
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- Heller, Yuval, 2014. "Stability and trembles in extensive-form games," Games and Economic Behavior, Elsevier, vol. 84(C), pages 132-136.
- Heller, Yuval, 2013. "Language, Meaning, and Games: Comment," MPRA Paper 49375, University Library of Munich, Germany.
- Sandholm, William H. & Tercieux, Olivier & Oyama, Daisuke, 0. "Sampling best response dynamics and deterministic equilibrium selection," Theoretical Economics, Econometric Society.
- Heller, Yuval, 2013. "Stability and trembles in extensive-form games," MPRA Paper 48160, University Library of Munich, Germany.
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