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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Evolutionarily Stable Strategies and Replicator Dynamics in Asymmetric Two-Population Games
verfasst von : Elvio Accinelli, Edgar J. Sánchez Carrera
Erschienen in: Dynamics, Games and Science I
Verlag: Springer Berlin Heidelberg
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We analyze the main dynamical properties of the evolutionarily stable strategy (
ℰ????
) for asymmetric two-population games of finite size and its corresponding replicator dynamics. We introduce a definition of
ℰ????
for two-population asymmetric games and a method of symmetrizing such an asymmetric game. We show that every strategy profile of the asymmetric game corresponds to a strategy in the symmetric game, and that every Nash equilibrium (
??ℰ
) of the asymmetric game corresponds to a (symmetric)
??ℰ
of the symmetric version game. We study the (standard) replicator dynamics for the asymmetric game and we define the corresponding (non-standard) dynamics of the symmetric game. We claim that the relationship between
??ℰ
,
ℰ????
and the stationary states (
????
) of the dynamical system for the asymmetric game can be studied by analyzing the dynamics of the symmetric game.