Motivated by the literature on opinion dynamics and evolutionary game theory, we propose a novel mathematical framework to model the intertwined coevolution of opinions and decision-making in a complex social system. In the proposed framework, the members of a social community update their opinions and revise their actions as they learn of others' opinions shared on a communication channel, and observe of others' actions through an influence channel; these interactions determine a two-layer network structure. We offer an application of the proposed framework by tailoring it to study the adoption of a novel social norm, demonstrating that the model is able to capture the emergence of several real-world collective phenomena such as paradigm shifts and unpopular norms. Through the establishment of analytical conditions and Monte Carlo numerical simulations, we shed light on the role of the coupling between opinion dynamics and decision-making, and of the network structure, in shaping the emergence of complex collective behavior in social systems.

中文翻译：

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复杂社会系统中意见动态和集体决策共同演化的两层模型

受关于意见动力学和进化博弈论的文献的启发，我们提出了一个新颖的数学框架，以建模复杂社会系统中意见和决策的相互协同演化。在提议的框架中，社会团体的成员在了解通过交流渠道分享的他人观点时，会更新自己的观点并修改其行为，并通过影响力渠道观察他人的行为；这些相互作用确定了两层网络结构。通过为研究一种新的社会规范而采用的框架进行调整，我们提供了该框架的应用，表明该模型能够捕获几种现实世界的集体现象的出现，例如范式转换和不受欢迎的规范。