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Evolutionary Selection in Normal Form Games

  • Ritzberger, Klaus

    (Research Institute of Industrial Economics (IFN))

  • Weibull, Jörgen W.

    (Research Institute of Industrial Economics (IFN))

This paper investigates stability properties of evolutionary selection dynamics in normal-form games. The analysis is focused on deterministic dynamics in continuous time and on asymptotic stability of sets of population states, more precisely of faces of the mixed-strategy space. The main result is a characterization of those faces that are asymptotically stable in all dynamics from a certain class, and the authors show that every such face contains an essential component of the set of Nash equilibria and, hence, a strategically stable set in the sense of E. Kohlberg and J. F. Mertens (1986). Copyright 1995 by The Econometric Society.

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Paper provided by Research Institute of Industrial Economics in its series Working Paper Series with number 383.

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Length: 36 pages
Date of creation: Jun 1993
Date of revision:
Handle: RePEc:hhs:iuiwop:0383
Contact details of provider: Postal: Research Institute of Industrial Economics, Box 55665, SE-102 15 Stockholm, Sweden
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Fax: +46 8 665 4599
Web page: http://www.ifn.se/
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  1. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, vol. 19(1), pages 59-89.
  2. Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of Solution Concepts of Games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  3. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
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