Cooperative behavior can contribute to the development of society. Evolutionary game theory is a fundamental framework for studying cooperative behavior. This article explores the evolutionary dynamics of the three-faced strategy, which can demonstrate its different attribute behaviors according to different types of objects encountered by paying a certain role-switching cost. When three-faced individuals encounter cooperators, they will show defection behavior; when they interact with defectors, they will show punishment behavior; and when they meet the same kind, they will show cooperative behavior. The results show that the presence of three-faced individuals can effectively suppress defectors when the cost of role-switching is small or when the government gives relatively high incentives. Moreover, the moderate role-switching cost enhances the maintenance and emergence of cooperators. Additionally, as the system is in a stable state, which is full of three-faced individuals, the behavior displayed by the three-faced individuals at this time is consistent with that of the cooperators, which also promotes cooperative behavior in the population to some extent.

中文翻译：

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三面策略对社会困境中合作演化的影响

合作行为可以为社会的发展做出贡献。进化博弈论是研究合作行为的基本框架。本文探讨了三面策略的演化动力学，通过付出一定的角色切换成本，可以根据遇到的不同类型的对象展现其不同的属性行为。三脸个体遇到合作者时，会表现出背叛行为；当他们与叛逃者互动时，他们会表现出惩罚行为；当它们遇到同类时，它们会表现出合作行为。结果表明，当角色转换成本较小或政府给予较高激励时，三面个体的存在可以有效抑制叛逃者。此外，适度的角色转换成本增强了合作者的维护和出现。另外，由于系统处于稳定状态，充满了三面个体，此时三面个体所表现出的行为与合作者的行为是一致的，这也促进了群体中的合作行为在一定程度上的提高。程度。