Abstract We put forward a novel multi-games model based on the diversity of interaction intensity under the framework of interdependent lattices, where an adjustable variable ω is accustomed to regulate the interaction intensity between players. In detail, when the payoff of the focal player x gaining from his neighbor y is not less than the average payoff of the focal player x from four nearest neighbors, the interaction intensity between them is strengthened; otherwise, this intensity is weakened. In addition, the utility of players is mainly determined by their own payoff and also related to the payoff of that player occupying the same position on another lattice. Through extensive simulations, the results indicate that the diversity of interaction intensity between players can immensely favor the evolution of cooperation. The smaller ω means the stronger diversity of interaction intensity, which leads to the higher level of collective cooperation. Particularly, when the intensity of diversity as the sucker's payoff changes, the cooperative behavior among individuals tends to become more complicated than that only driven by the network reciprocity. We also find that when the diversity is weak ( ω > 0.5 ), the utility coupling factor α does not seem to be a decisive element in facilitating the development of cooperation. However, when the diversity is strong ( ω 0.5 ), the promotion of cooperation becomes more remarkable. Our work also illustrates the pivotal role of diversity of interaction intensity in solving complex social dilemmas, which will inspire us to comprehend the cooperation behavior in numerous real-world systems.

中文翻译：

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交互强度的多样性增强了空间多博弈在相互依赖的格子上的合作

摘要 我们在相互依赖的格子框架下提出了一种基于交互强度多样性的新型多博弈模型，其中一个可调变量ω用于调节玩家之间的交互强度。具体来说，当焦点玩家x从其邻居y获得的收益不小于焦点玩家x从四个最近邻居那里获得的平均收益时，它们之间的交互强度得到加强；否则，这种强度就会减弱。此外，玩家的效用主要由他们自己的收益决定，也与该玩家在另一个格子上占据相同位置的收益有关。通过广泛的模拟，结果表明玩家之间互动强度的多样性可以极大地促进合作的演变。ω 越小，表示互动强度的多样性越强，集体合作水平越高。特别是，当作为傻瓜回报的多样性强度发生变化时，个体之间的合作行为往往会变得比仅由网络互惠驱动的合作行为更加复杂。我们还发现，当多样性较弱时（ω > 0.5），效用耦合因子 α 似乎不是促进合作发展的决定性因素。然而，当多样性强（ω 0.5 ）时，合作的促进变得更加显着。我们的工作还说明了交互强度的多样性在解决复杂的社会困境中的关键作用，这将激励我们理解众多现实世界系统中的合作行为。