Spatial Organisation of Cooperation with Contingent Agent Migration

In the framework of game theory and cooperation, we study standard two-person population games when agents in the population are allowed to move to better positions in a twodimensional diluted grid. We show that cooperation may thrive for small interaction radius and when mobility is low. Furthermore, we show that, even when the agents cannot change their game strategy, interesting spatial patterns do emerge as players explore their neighborhood in order to find a better place to migrate to. In the Prisoner’s Dilemma and Stag-Hunt games, when the losses experienced by cooperators against defectors as well as the game and migration radius are large enough, players move in a coherent way because clusters of cooperators followed by defectors form. On the other hand, in the Hawk-Dove game or when the migration radius is small, players end up blocked into stationary clusters.