无标度网络的同配性对群体合作行为的影响

Effect of Assortative Mixing in the Scale-free Networks on Cooperative Behavior

考虑维持社会关系所需的"成本"因素,在囚徒困境博弈模型中引入关系成本参数,通过仿真实验研究囚徒困境博弈在同配性可变的无标度网络上的演化,进而探讨不同关系成本条件下无标度网络的同配性对合作行为的影响。研究结果表明,随着关系成本的提高,群体的合作行为受到了明显的影响,合作者均衡密度表现出先降低后升高的趋势。然而,在不同的关系成本参数条件下,无标度网络的同配性始终抑制了合作行为的演化,合作者均衡密度随着同配性水平的增大而减小。

On account of the ＂cost＂ factor to maintain social relations,the parameter of relation cost is introduced in the model of Prisoner’s Dilemma Game（PDG）.The evolution of PDG on scale-free network with different levels of assortative mixing is studied through simulation experiment.The effect of assortative mixing in scale-free networks on cooperative behaviors is explored under different relation cost conditions.The results show that cooperative behaviors are significantly influenced by relation cost,and the equilibrium density of cooperators decreases first and then increases with increasing relation cost.However,under different parameter conditions of relation cost,the assortative mixing in scale-free networks always inhibits the evolution of cooperative behaviors,and the equilibrium density of cooperators decreases with increasing assortative mixing.