Cooperative evolutionary games have been a focus in various subjects, but the discussion on signed networks is lacking, especially when players are assumed to have different degree of closeness with others, i.e. continuous signed network. To fill this gap, we introduce a negativity coefficient that responds to the effect of negative relationships and a new strategy imitation method that applies to continuous networks. The simulation results show the necessity of negative relations that promotes cooperation, and the increase of the influence of negative relations facilitates the generation of cooperative behaviors. The edge updating in adaptive networks promote cooperation but has little impact when negative edge influence is small. The experiments also prove that structural balance is helpful for increasing the share of cooperators in the evolution.

中文翻译：

---

连续签名网络中的进化囚徒困境博弈

合作进化博弈一直是各个学科的关注焦点，但对签名网络的讨论却很缺乏，特别是当玩家被假设与他人有不同程度的亲密程度时，即连续的签名网络。为了填补这一空白，我们引入了一个响应负关系影响的负系数，以及一种适用于连续网络的新策略模仿方法。模拟结果表明负关系促进合作的必要性，负关系影响力的增大有利于合作行为的产生。自适应网络中的边缘更新促进合作，但当负边缘影响小时，影响很小。实验还证明结构平衡有助于增加进化中合作者的份额。