Prisoner's dilemma on directed networks

Abstract

We study the prisoner's dilemma model with a noisy imitation evolutionary dynamics on directed out-homogeneous and uncorrelated directed random networks. An heterogeneous pair mean-field approximation is presented showing good agreement with Monte Carlo simulations in the limit of weak selection (high noise) where we obtain analytical predictions for the critical temptations. We discuss the phase diagram as a function of temptation, intensity of noise and coordination number of the networks and we consider both the model with and without self-interaction. We compare our results with available results for non-directed lattices and networks.

18 pages, 9 figures

References in corpus (7)

• Evolutionary games on graphs
• Critical phenomena in complex networks
• Cooperation in noisy case: prisoner's dilemma game on two types of regular random graphs
• Prisoners' dilemma in real-world acquaintance networks: Spikes and quasi-equilibria induced by the interplay between structure and dynamics
• Cooperation enhanced by the difference between interaction and learning neighborhoods for evolutionary spatial prisoner's dilemma games
• Cluster approximations for probabilistic systems: a new perspective of epidemiological modelling
• Emergence of Social Structures via Preferential Selection