Social hierarchy promotes the cooperation prevalence

Social hierarchy is important that can not be ignored in human socioeconomic activities and the animal world. Here we incorporate this factor into evolutionary game to see what impact it could have on cooperation outcome. The probabilistic strategy adoption between two players then only determined by their payoffs, but also difference -- high rank are more likely reproduce strategies than peers low rank. Through simulating evolution of Prisoners' dilemma with three hierarchical distributions, find levels enhanced all cases, enhancement optimal uniform case. due fact presence facilitates formation clusters high-rank acting as nucleation cores. This mechanism remains valid Barab\'asi-Albert scale-free networks, particular maximal when hubs higher social ranks. We study a two-hierarchy model, where similar promotion revealed some theoretical analyses provided. Our finding may partially explain why so ubiquitous planet.