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On the Dynamic Foundation of Evolutionary Stability in Continuous Models

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Author Info

  • Joerg Oechssler

    (University of Bonn)

  • Frank Riedel

    (Humboldt University)

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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File URL: http://128.118.178.162/eps/game/papers/0004/0004004.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0004004.

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Length: 26 pages
Date of creation: 06 Jul 2000
Date of revision:
Handle: RePEc:wpa:wuwpga:0004004

Note: Type of Document - ; pages: 26
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Web page: http://128.118.178.162

Related research

Keywords: replicator dynamics; evolutionary stability; ESS; CSS;

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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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