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On the Dynamic Foundation of Evolutionary Stability in Continuous Models

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  • Oechssler, Jorg
  • Riedel, Frank

Abstract

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept, evolutionary robustness, which is stronger than the previous concepts. Evolutionary robustness ensures dynamic stability for replicator dynamics in doubly symmetric games. --

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 107 (2002)
Issue (Month): 2 (December)
Pages: 223-252

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Handle: RePEc:eee:jetheo:v:107:y:2002:i:2:p:223-252

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Web page: http://www.elsevier.com/locate/inca/622869

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  1. J. Maynard Smith, 2010. "The Theory of Games and Evolution of Animal Conflicts," Levine's Working Paper Archive 448, David K. Levine.
  2. Bester, H. & Güth, W., 1994. "Is altruism evolutionarily stable ?," Discussion Paper 1994-103, Tilburg University, Center for Economic Research.
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