Game theories could help us to understand the origin of the emergence and persistence of cooperation among selfish individuals. Considering the intimate relationship among individuals, we study the prisoner's dilemma (PD) game in a two-layer network. Firstly, we calculate the closeness between any two players according to their connectivity. Further, we define and obtain one's comprehensive income index according to the different income values obtained by individuals in the two-layer network. Then, we formulate the mechanism of individual strategy change. Finally, we analyze the influence of different parameters on individual strategy change through numerical simulation results. Our results show that the heterogeneous network structure is more conducted to cooperation, but it takes a long time for the whole system to reach a stable state. With the increase of the measure coefficient θ , when the two-layer networks are, respectively, the BA scale-free network and ER ...

中文翻译：

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亲密关系如何影响两层网络中的个人行为

博弈论可以帮助我们了解自私个体之间合作的出现和持续存在的根源。考虑到个人之间的亲密关系，我们在两层网络中研究囚徒困境（PD）游戏。首先，我们根据两个参与者之间的连通性来计算它们之间的接近程度。此外，我们根据个人在两层网络中获得的不同收入值定义并获得一个人的综合收入指数。然后，我们制定了个人战略转变的机制。最后，我们通过数值模拟结果分析了不同参数对个体策略变化的影响。我们的结果表明，异构网络结构更易于进行协作，但是整个系统要达到稳定状态需要很长时间。