论文标题

两层动态多重网络上囚犯困境中的对称性破坏

Symmetry breaking in the prisoner's dilemma on two-layer dynamic multiplex networks

论文作者

Takesue, Hirofumi

论文摘要

了解网络结构在合作演变中的作用是物理与生物学之间交集的关键研究目标。鉴于多个社会领域是相互关联的,并且不能由单层网络表示,最近的研究特别关注多重网络。但是,当与另一个重要的网络特征结合使用网络多路复用性的作用:网络动力学。在本研究中,我们调查了进化囚犯在动态的两层多路复用网络上进行的进化囚犯的困境游戏,在这两层中,收益确定了战略的演变。此外,我们介绍了网络动力学,代理可以与邻居缺陷并构建新链接的链接。我们的模拟表明,链接更新可以增强合作,但结果状态远非完全合作。合作中这种适度的增强与对称性破坏有关,从而使一层的合作频率不成比例地增加,而另一层的合作频率保持不变,甚至减少了。但是,这种破裂的对称性消失了,链接更新足够快。我们的结果表明,网络动态的引入可以增强囚犯困境中的合作,但考虑到一旦考虑了网络多重性,这种增强就伴随着严重的不对称性。

Understanding the role of network structure in the evolution of cooperation is a key research goal at the intersection between physics and biology. Recent studies have particularly focused on multiplex networks given that multiple social domains are interrelated and cannot be represented by single-layer networks. However, the role of network multiplexity is not fully understood when combined with another important network characteristic: network dynamics. In the present study, we investigated evolutionary prisoner's dilemma games played on dynamic two-layer multiplex networks in which the payoff combined across the two layers determined strategy evolution. In addition, we introduced network dynamics where agents can sever links with defecting neighbors and construct new links. Our simulation showed that link updating enhances cooperation but the resultant states are far from those of full cooperation. This modest enhancement in cooperation was related to symmetry breaking whereby the cooperation frequency in one layer disproportionately increased while that in the other layer remained the same or even diminished. However, this broken symmetry disappeared with sufficiently fast link updating. Our results show that the introduction of network dynamics enhances cooperation in the prisoner's dilemma as previously reported, but this enhancement is accompanied by significant asymmetry once network multiplexity is considered.

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