EVOLUTIONARY PRISONERS-DILEMMA GAME ON A SQUARE LATTICE

A simplified prisoner's game is studied on a square lattice when the p layers interacting with their neighbors can follow two strategies: to cooperate (C) or to defect (D) unconditionally. The prayers updated in random sequence have a chance to adopt one of the neighboring strateg ies with a probability depending on the payoff difference. Using Monte :Carlo simulations and dynamical cluster techniques, we study the dens ity c of cooperators in the stationary state. This system exhibits a c ontinuous transition between the two absorbing states when varying the value of temptation to defect. In the limits c-->0 and 1 we have obse rved critical transitions belonging to the universality class of direc ted percolation.