Abstract
A simplified prisoner’s game is studied on a square lattice when the players interacting with their neighbors can follow two strategies: to cooperate or to defect unconditionally. The players updated in random sequence have a chance to adopt one of the neighboring strategies with a probability depending on the payoff difference. Using Monte Carlo simulations and dynamical cluster techniques, we study the density of cooperators in the stationary state. This system exhibits a continuous transition between the two absorbing states when varying the value of temptation to defect. In the limits and 1 we have observed critical transitions belonging to the universality class of directed percolation.
- Received 10 October 1997
DOI:https://doi.org/10.1103/PhysRevE.58.69
©1998 American Physical Society