相依型双层Holme-Kim网络合作行为研究

现实世界中的网络往往具有“无标度”、“高聚类”、“相互连接”的特点。为模拟这些特点，该文提出了一种相依型Holme-Kim网络构造算法，并分析了囚徒困境博弈在该算法构造的网络模型上的演化。通过仿真实验，研究了构造算法中提出的连接度、连接概率以及囚徒困境收益矩阵中背叛诱惑等参数对相依型网络上合作行为演化的影响。研究发现在较低的背叛诱惑参数下，同等规模的网络上连接度、连接概率的值越低越有利于相依型网络上合作行为的形成；当背叛诱惑参数超过一定的阈值，会导致网络中大量背叛行为的出现。

Research on Cooperative Behavior of Interdependent Two-Layer Holme-Kim Network

In the real world, networks often have "scale-free", "high clustering" and "interconnection" features. In order to model these characteristics, we proposes an algorithm for constructing the interdependent Holme-Kim network and use tools of complex networks and evolutionary game theory to research the emergence of cooperation in our network model, where a Prisoner's Dilemma game is played. Through simulation experiments, the effects of the connection degree, the connection probability mentioned in the algorithm and the temptation to defect in the payoff matrix of the Prisoner's Dilemma game are studied. Our results show that the lower the connection degree and the connection probability on the same scale of the network, the easier the formation of cooperative behavior on the network. When the parameter of the temptation to defect is more than a certain threshold, a great number of defectors will be on the networks.