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Evolutionary Dynamics on Infinite Strategy Spaces

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  • Oechssler, Joerg
  • Frank Riedel

Abstract

The study of evolutionary dynamics was so far mainly restricted to finite strategy spaces. In this paper we show that this unsatisfying restriction is unnecessary. We specify a simple condition under which the continuous time replicator dynamics are well defined for the case of infinte strategy spaces. Furthermore, we provide new conditions for the stability of rest points and show that even strict equilibria may be unstable. Finally, we apply this general theory to a number of applications like the Nash demand game, the War of Attrition, linear-quadratic games, the harvest preemption game, and games with mixed strategies.

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File URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonsfa/bonsfa606.pdf
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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number 606.

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Length: 31 pages
Date of creation: Nov 1999
Date of revision:
Handle: RePEc:bon:bonsfa:606

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

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Keywords: replicator dynamics; evolutionary stability; continuous strategy spaces;

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  1. 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.
  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, December.
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