Groups are the basic unit of organization in our society. It is important to investigate how groups compete and cooperation evolves in the population composed of groups. In this paper, based on the celebrated multi-player public goods game, we propose a general theoretical framework of the stochastic dynamic process to study how inequalities among groups affect the evolution of cooperation in a group population. We find that cooperation can be promoted if enhancement factors of every group are not equivalent and constant, but are dynamic adjusted according to the group reputation which is defined as the fraction of cooperators in the last public goods game. Furthermore, we introduce the inequality in social roles of groups by means of heterogeneous graph and find that, under the influence of dynamic adjustment of enhancement factors, central groups can always own more cooperators compared to peripheral groups during game dynamics. Moreover, a highly heterogeneous group connectin...

中文翻译：

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竞争不平等的群体人口中的合作出现

团体是我们社会组织的基本单位。重要的是研究群体在群体中如何竞争和合作发展。本文基于著名的多人公共物品博弈，提出了随机动态过程的一般理论框架，以研究群体间的不平等如何影响群体人口合作的发展。我们发现，如果每个组的增强因子不是相等且恒定的，而是根据组信誉进行动态调整的，则可以促进合作，组信誉是上次公益游戏中合作者的比例。此外，我们通过异质图介绍了群体社会角色的不平等，发现在增强因子动态调整的影响下，在游戏动态中，与外围群体相比，中心群体总是可以拥有更多的合作者。而且，高度异质的群连接...