Abstract
Static stability conditions are developed for evolutionary games that involve two groups of individuals such as the evolution of frequencies in a two-species biological system. These conditions are related to a local version of the Pareto optimal solution concept. Solutions that satisfy these conditions are shown to be dynamically stable for the replicator dynamic. The theory is applied to a mate desertion model where the two groups (male and female) have two possible desertion times. In particular, for biologically reasonable fitness parameters, both sexes adopt mixed mean strategies where the sex that has the least to lose by deserting is the first, on average, to desert. Journal of Economic Literature Classification Numbers: C70, C72.
Published Version
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