Evolution and Long Run Equilibria in Coordination Games with Summary Statistic Payoff Technologies

This note applies the evolutionary dynamic of Kandori, Mailath, and Rob ( Econometrica 61 (1993), 29-65) to class coordination games that the entire population plays simultaneously. In these games, payoffs and best replies are determined by a symmary statistic of the population strategy profile as in Crawford ( Econometrica 63 (1995), 103-144). A simple characterization of the set of Long Run Equilibria, analogous to the one given by Kandori, Mailath, and Rob for random pairing, is provided