Ordinal imitative dynamics

This paper introduces an evolutionary dynamics based on imitate the better realization (IBR) rule. Under this rule, agent in a population game imitates strategy of randomly chosen opponent whenever opponent’s realized payoff is higher than his or her own. Such behavior generates mean which depends order payoffs, but not their magnitudes, and polynomial utilization frequencies. We demonstrate that while does possess Nash stationarity monotonicity, under it pure strategies iteratively strictly dominated by are eliminated strict equilibria locally stable. investigate relationship between IBR rule replicator dynamics. In trivial cases, two topologically equivalent. Rock-Paper-Scissors games we conjecture both exhibit same types behavior, partitions set do coincide. other exhibits behaviors impossible