Deterministic evolutionary dynamics: a unifying approach

Reinoud Joosten
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Reinoud Joosten: MERIT, Department of Mathematics, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands

Journal of Evolutionary Economics, 1996, vol. 6, issue 3, 313-324

Abstract: We tackle three components of evolutionary modelling: payoffs, dynamical systems and equilibrium concepts. Firstly, we merely require that fitness functions are continuous. Secondly, we examine very general classes of dynamics. Thirdly, we give useful parallels to the Nash equilibrium and the evolutionarily stable strategy. Under (weakly) sign-compatible dynamics the change in population share of every (at least one) subgroup present in the population corresponds in sign with its relative fitness. At a saturated equilibrium, each subgroup with positive population share has highest fitness. We examine two evolutionary stability concepts: the evolutionarily stable equilibrium and the generalized evolutionarily stable state.

JEL-codes: C72 C73 D83 (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:joevec:v:6:y:1996:i:3:p:313-324

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