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Evolutionary Dynamics on Infinite Strategy Spaces

  • Joerg Oechssler

    (Humboldt University, Berlin)

  • Frank Riedel

    (Humboldt University)

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this restriction is in most cases unnecessary. We give a mild condition under which the continuous time replicator dynamics are well defined for infinite strategy spaces. Furthermore, we provide conditions for stability of rest points. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, Cournot and Bertrand oligopoly games, and mixed strategies.

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File URL: http://128.118.178.162/eps/game/papers/9805/9805002.ps.gz
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Paper provided by EconWPA in its series Game Theory and Information with number 9805002.

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Length: 26 pages
Date of creation: 08 May 1998
Date of revision: 12 May 1998
Handle: RePEc:wpa:wuwpga:9805002
Note: pages: 26
Contact details of provider: Web page: http://128.118.178.162

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  1. Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2005. "Learning to like what you have - explaining the endowment effect," Economic Journal, Royal Economic Society, vol. 115(505), pages 689-702, 07.
  2. J. Hofbauer & P. Schuster & K. Sigmund, 2010. "A Note on Evolutionary Stable Strategies and Game Dynamics," Levine's Working Paper Archive 441, David K. Levine.
  3. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, June.
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