Evolutionary stability in strategic models of single-locus frequency-dependent viability selection

The dynamic stability of an evolutionarily stable strategy (ESS) is analyzed for a diploid species under individual viability selection. An individual’s viability depends on the genotypic frequencies at a single autosomal locus through a payoff matrix determined by phenotypic behaviours (i.e. strategies). It is shown that an ESS of this payoff matrix is dynamically stable if there are at most three alleles — an intuitive result that strengthens the importance of static game-theoretic methods in genetic models.