Evolutionary game theory describes a system in which individuals interact with each other. In recent years, the combination of complex network and evolutionary game theory, which is supposedly the best way to interpret how cooperate strategies are maintained in rational population pursuing maximum benefit, has gained considerable attention. There are numerous studies on public goods game (PGG), which is the classic laboratory paradigm for studying collective action problem. Now, we consider a PGG on the random signed network. Individuals interact and play games along the social ties defined by a signed network, where the positive links indicate the friendship and the negative links indicate the hostile relationship among the players. Here, we design an evolutionary mechanism: the rule is that a friendly relationship leads to a higher probability for a subject to imitate the neighbor with the highest payoff, whereas a hostile relationship leads to a less probability. Then, we conduct the game on four types of community structure signed networks, a random signed network, and two real-world signed networks. The simulation result indicates that there is a slight difference in the level of cooperation among the four clustering networks. In addition, the most interesting thing is that the negative edges hinder cooperation when the enhancement factor is low and promote the cooperation when the enhancement factor is high on the random signed network.

进化博弈论描述了一个个体之间相互作用的系统。近年来，复杂网络与进化博弈论的结合被认为是解释在追求最大利益的理性人群中如何维持合作策略的最佳方式，受到了相当多的关注。关于公共物品博弈（PGG）的研究很多，这是研究集体行动问题的经典实验室范式。现在，我们考虑随机签名网络上的 PGG。个人沿着由签名网络定义的社会关系进行互动和玩游戏，其中正链接表示友谊，负链接表示玩家之间的敌对关系。在这里，我们设计了一个进化机制：规则是友好关系导致主体模仿收益最高的邻居的可能性更高，而敌对关系导致主体模仿收益最高的可能性。然后，我们在四种社区结构签名网络、一个随机签名网络和两个现实世界签名网络上进行博弈。仿真结果表明，四个聚类网络之间的合作程度略有不同。另外，最有趣的是，在随机签名网络上，负边在增强因子低时阻碍合作，在增强因子高时促进合作。我们在四种类型的社区结构签名网络、一个随机签名网络和两个现实世界签名网络上进行游戏。仿真结果表明，四个聚类网络之间的合作程度略有不同。另外，最有趣的是，在随机签名网络上，负边在增强因子低时阻碍合作，在增强因子高时促进合作。我们在四种类型的社区结构签名网络、一个随机签名网络和两个现实世界签名网络上进行游戏。仿真结果表明，四个聚类网络之间的合作程度略有不同。另外，最有趣的是，在随机签名网络上，负边在增强因子低时阻碍合作，在增强因子高时促进合作。