Evolutionary Dynamics on Infinite Strategy Spaces
AbstractThe 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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Bibliographic InfoPaper provided by EconWPA in its series Game Theory and Information with number 9805002.
Length: 26 pages
Date of creation: 08 May 1998
Date of revision: 12 May 1998
Note: pages: 26
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Web page: http://22.214.171.124
replicator dynamics; evolutionary stability; continuous strategy spaces; oligopoly;
Other versions of this item:
- Oechssler, Joerg & Frank Riedel, 1999. "Evolutionary Dynamics on Infinite Strategy Spaces," Discussion Paper Serie A 606, University of Bonn, Germany.
- Oechssler, Jörg & Riedel, Frank, 1998. "Evolutionary dynamics on infinite strategy spaces," SFB 373 Discussion Papers 1998,68, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-1998-10-02 (All new papers)
- NEP-EVO-1998-10-02 (Evolutionary Economics)
- NEP-GTH-1998-10-02 (Game Theory)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Huck, Steffen & Kirchsteiger, Georg & Oechssler, Jörg, 1997.
"Learning to like what you have: Explaining the endowment effect,"
SFB 373 Discussion Papers
1997,38, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- 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.
- Steffen Huck & Georg Kirchsteiger & Joerg Oechssler, 1997. "Learning to Like What You Have - Explaining the Endowment Effect," Game Theory and Information 9702001, EconWPA, revised 15 May 1997.
- Steffen Huck & Georg Kirchsteiger & Jörg Oechssler, 2003. "Learning to Like What You Have - Explaining the Endowment Effect," Bonn Econ Discussion Papers bgse5_2003, University of Bonn, Germany.
- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
- 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.
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