Spatial structure is one of the most studied mechanisms in evolutionary game theory. Here, we explore the consequences of spatial structure for a question which has received considerable empirical and theoretical attention in recent years, but has not yet been studied from a network perspective: whether cooperation relies on intuitive predispositions or deliberative self-control. We examine this question using a model which integrates the "dual-process" framework from cognitive science with evolutionary game theory, and considers the evolution of agents who are embedded within a social network and only interact with their neighbors. In line with past work in well-mixed populations, we find that selection favors either the intuitive defector strategy which never deliberates, or the dual-process cooperator strategy which intuitively cooperates but uses deliberation to switch to defection when doing so is payoff-maximizing. We find that sparser networks (i.e., smaller average degree) facilitate the success of dual-process cooperators over intuitive defectors, while also reducing the level of deliberation that dual-process cooperators engage in; and that these results generalize across different kinds of networks. These observations demonstrate the important role that spatial structure can have not just on the evolution of cooperation, but on the co-evolution of cooperation and cognition.

中文翻译：

---

人口结构促进了直觉合作的发展，抑制了审议。

空间结构是进化博弈论中研究最多的机制之一。在这里，我们探讨空间结构的后果，该问题是近年来受到大量经验和理论关注，但尚未从网络角度进行研究的问题：合作是依靠直观的倾向还是有意进行自我控制。我们使用一个模型来检验这个问题，该模型将认知科学的“双过程”框架与进化博弈论相结合，并考虑了嵌入社交网络中并且仅与邻居互动的主体的演化。与过去在混合人群中所做的工作相一致，我们发现选择有利于既不考虑的直观叛逃者策略，或直观合作的双流程合作者策略，这样做的目的是最大限度地提高收益，而在这种情况下，使用审议转为叛逃。我们发现稀疏网络（即较小的平均程度）促进了双进程合作者比直觉叛逃者的成功，同时也降低了双进程合作者参与的协商水平。并且这些结果可以推广到不同类型的网络中。这些观察表明，空间结构不仅可以在合作的演进中发挥重要作用，而且在合作与认知的共同演进中也可以发挥重要作用。同时还减少了双重流程合作者参与的审议工作的水平；并且这些结果可以推广到不同类型的网络中。这些观察表明，空间结构不仅可以在合作的演进中发挥重要作用，而且在合作与认知的共同演进中也可以发挥重要作用。同时还减少了双重流程合作者参与的审议工作的水平；并且这些结果可以推广到不同类型的网络中。这些观察表明，空间结构不仅可以在合作的演进中发挥重要作用，而且在合作与认知的共同演进中也可以发挥重要作用。