Evolutionary prisoner’s dilemma game on weighted scale-free networks

Abstract

This paper investigates the evolutionary prisoner’s dilemma on weighted scale-free networks. The weighted networks are generated by adopting Barabási–Albert scale-free network and assigning link weight with w i j = ( k i × k j ) β . Simulation results show that the cooperation frequency has a strong dependence on β . The value of β which is associated with the maximal cooperation frequency has been sought out. Moreover, Gini coefficient and Pareto exponent of the system’s wealth distribution are investigated. The inequality of wealth distribution is minimized at β ≈ − 1 .