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Evolutionary prisoner's dilemma game on a square lattice

Gyorgy Szabo·Csaba Toke
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Abstract

A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow only two strategies: to cooperate (C) or to defect (D) unconditionally. The players updated in a 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 $c$ of cooperators in the stationary state. This system exhibits a continuous transition between the two absorbing state when varying the value of temptation to defect. In the limits $c \to 0$ and 1 we have observed critical transitions belonging to the universality class of directed percolation.

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Gyorgy Szabo, Csaba Toke. 1997-10-10. Evolutionary prisoner's dilemma game on a square lattice. https://doi.org/10.1103/physreve.58.69

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