Mutual synchronization of oscillations in a system of coupled evolutionary games

The purpose of this study is to investigate collective dynamics coupled communities that evolve according the population game «Battle Sexes». A separate community includes two interacting populations players opposite sex, where each player has one possible competing behavior strategies. It necessary determine possibility mutual synchronization oscillations in number adhering a particular strategy, build region, and also evaluate dependence properties on coupling strength. Methods. In paper, we system evolutionary games Sexes» through migration. To simulate make use stochastic Moran process, as well Monte Carlo method sample trajectories. Mutual defined by appropriately generalized criteria frequency phase locking. Results. shown demonstrates under sufficiently strong coupling. particular, oscillation frequencies get adjusted other begin coincide at some interaction parameter, while themselves become almost identical. similar result was observed for an ensemble more than communities. Conclusion. average strength determined, adjustment with increase demonstrated, thereby showing model region numerically found.