Why cultural distance can promote - or impede - group-beneficial outcomes

Quantifying the distance between cultural groups has received substantial recent interest. A key innovation, borrowed from population genetics, is the calculation of cultural F (CF) statistics on datasets of human culture. Measuring the variance between groups as a fraction of total variance, F is theoretically important in additive models of cooperation. Consistent with this, recent empirical work has confirmed that high values of pairwise CF (measuring cultural distance) strongly predict unwillingness to cooperate with strangers in coordination vignettes. As applications for CF increase, however, there is greater need to understand its meaning in naturalistic situations beyond additive cooperation. Focusing on games with both positive and negative frequency dependence and high-diversity, mixed equilibria, we derive a simple relationship between F and the evolution of group-beneficial traits across a broad spectrum of social interactions. Contrary to standard assumptions, this model shows why F can have both positive and negative marginal effects on the spread of group-beneficial traits under certain realistic conditions. These results provide broader theoretical direction for empirical applications of CF in the evolutionary study of culture.