Impact of binary social status with hierarchical punishment on the evolution of cooperation in the spatial prisoner’s dilemma game

Since ancient times, people have lived in a hierarchical society. In this paper, we consider a simple hierarchical society with disadvantaged group and powerful group(i.e. the binary social status). The ability for powerful group is reflected to be a punisher, and this privilege cannot be imitated by the disadvantaged agent. On this base, the theory of asymmetric evolutionary game with hierarchical punishment is extend. And its impact on the...