Abstract

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.

Graphic abstract

中文翻译：

---

依赖拓扑的收益可能导致摆脱囚徒困境

摘要

在存在空间限制的情况下对合作的维持进行了广泛的研究。众所周知，基本的图拓扑可以显着影响图上游戏的结果。维持合作可能很困难，尤其是在没有空间限制的情况下。合作的发展自然将取决于收益。但是，收益通常被认为在给定游戏中是不变的。一个自然而未探索的问题是，在其上确定游戏收益的基础结构的拓扑是否不具有任何作用。在这里，我们介绍了合作者图和缺陷图的概念，以及一种新的博弈回报形式，它很少依赖于基础网络拓扑。这些概念是受到众所周知的群体感应微生物现象的启发。我们证明，即使依赖程度很弱，基本的游戏动力以及游戏的本质也可能会发生变化。在理论和实验研究中已经很好地报道了游戏性质的这种变化。

图形摘要