Distribution of Strategies in a Spatial Multi-Agent Game

We investigate the adaptation of cooperating strategies in an iterated Prisoner’s Dilemma (IPD) game. The deterministic IPD describes the interaction of N agents spatially distributed on a lattice, which are assumed to only interact with their four neighbors, hence, local congurations are of great importance. Particular interest is in the spatialtemporal distributions of agents playing dieren t strategies, and their dependence on the number of consecutive encounters ng during each generation. We show that above a critical ng, there is no coexistence between agents playing different strategies, while below the critical ng coexistence is found.