Evolutionary Selection in Normal-Form Games

Klaus Ritzberger and Jörgen Weibull

Econometrica, 1995, vol. 63, issue 6, 1371-99

Abstract: 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.

Date: 1995
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Related works:
Working Paper: Evolutionary Selection in Normal-Form Games (2010)
Working Paper: Evolutionary Selection in Normal Form Games (1993)
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