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Evolutionary stability in asymmetric games. (English) Zbl 0770.90096
The authors consider an evolutionary selection game between two asymmetric players. Consequences of regularity and monotonic evolutions, in the case of strictly dominated strategies, are discussed. Conditions for the existence of replicator dynamic functions in a regular aggregate monotonic process are derived. A comparison of asymptotic stability and of a strict Nash equilibrium is presented. Evolutionary models with births and mutations are also discussed. Stable evolutions are proven not to need to respect weak dominance.
Reviewer: L.F.Pau (Valbonne)

MSC:
91A23 Differential games (aspects of game theory)
92D15 Problems related to evolution
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