Imitation and Long Run Outcomes

In a number of evolutionary models the presence of mutations, or random components of choice, serve to refine predictions of long-run behavior. We analyze the effects of mutation rates that vary because of the presence of imitation. A full characterization of long-run outcomes is provided for familiar coordination and congestion games, and also a number of other games not previously considered within the evolutionary framework. Our results are often quite distinct from those in the literature. We apply these tools to a series of economic applications, including market games, where imitation can explain excess volatility of prices, and location games, where it leads to greater uniformity in choices.