论文标题

拓扑依赖的回报可能导致逃避囚犯的困境

Topology dependent payoffs can lead to escape from prisoner's dilemma

论文作者

Sinha, Saptarshi, Nath, Deep, Roy, Soumen

论文摘要

在存在空间限制的情况下,对合作的维持得到了广泛的研究。良好的公认的是,基础图形拓扑可以显着影响图形上游戏的结果。维持合作可能很困难,尤其是在没有空间限制的情况下。合作的演变自然取决于收益。但是,在给定的游戏中,收益通常被认为是不变的。一个自然而然的未探索的问题是,游戏的基础结构的拓扑是否在确定收益中没有任何作用。本文中,我们介绍了合作者图和叛逃者图的概念以及一种新的游戏收益形式,该概念依赖于基础网络拓扑。这些概念的灵感来自众所周知的Quorum传感的微生物现象。我们证明,即使有如此薄弱的依赖,基本的游戏动力以及游戏的本质也可以改变。在理论和实验研究中,已经对游戏性质的这种变化进行了很好的报告。

The maintenance of cooperation in the presence of spatial restrictions has been studied extensively. It is well-established that the underlying graph topology can significantly influence the outcome of games on graphs. Maintenance of cooperation could be difficult, especially in the absence of spatial restrictions. The evolution of cooperation would naturally depend on payoffs. However, payoffs are generally considered to be invariant in a given game. A natural yet unexplored question is whether the topology of the underlying structures on which the games are played, possesses no role whatsoever in the determination of payoffs. Herein, we introduce the notion of cooperator graphs and defector graphs as well as a new form of game payoff, which is weakly dependent on the underlying network topology. These concepts are inspired by the well-known microbial phenomenon of quorum sensing. We demonstrate that even with such a weak dependence, the fundamental game dynamics and indeed the very nature of the game may be altered. Such changes in the nature of a game have been well-reported in theoretical and experimental studies.

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