基于复杂网络与随机动态稀释机制的演化博弈分析

Evolutionary Prisoner's Dilemma Game on Complex Network with Dynamical Link Dilution

借助复杂网络的理论与方法,以演化博弈理论为基础,提出了随机动态稀释机制,并探讨了该机制对复杂网络上演化博弈的影响。对无标度网络、小世界网络和规则网络这三种典型网络上的博弈过程进行了模拟,并分析了结果。通过同质性网络与异质性网络上合作行为的比较研究,发现随机动态稀释机制能使同质性网络产生局部异质性,从而促进合作。并且当随机概率p=p*时,会出现最佳合作行为。

In this paper, we considered the prisoner＇s dilemma game on complex network with dynamical link dilution. By investigating the game on three representative networks, namely scale-free network, small-world network and regular network, we found that the introduced dynamical process provides homogenous network with local heterogeneity, which promoted the cooperation level for prisoner＇s dilemma game on homogenous structured population. Moreover, the best cooperative behavior is obtained at p^＊.