(DP 2012-04) Imitation Dynamics with Spatial Poisson-Distributed Review and Mutation Rates

Abstract

Using spatial Poisson processes, we re-interpret the Imitation Dynamics and show how the spatial clustering of players affects both the selection of strategies and the speed by which they replicate. We find that the more clustered are the players, (a) the faster the evolution of strategies and (b) if some players have inherent preferences for a strategy, the greater the probability of mutation into, and selection of, that preferred strategy.