Behavioral evolution and biocultural games: vertical cultural transmission.

We consider an evolutionary game model in which strategies are transmitted culturally from parents to offspring rather than inherited biologically. Our analysis yields two noteworthy results. First, biocultural games show a greater diversity of dynamical behaviors than their purely biological counterparts, including multiple fully polymorphic equilibria. Second, biocultural games on average exhibit greater equilibrium strategy diversity because of the countervailing influences of cultural transmission and natural selection. Therefore, knowledge of a strategy's influence on Darwinian fitness is not sufficient to infer the evolutionary consequences of biocultural games. Further, our results suggest that cultural transmission in the presence of natural selection may be an important mechanism maintaining behavioral diversity in natural populations.