Effect of Clustering Coefficient on Cooperation in Scale-Free Public Goods Game

In this paper we study the effect of clustering coefficient on the evolution of cooperation in scale-free public goods games. Since the cooperator can feed back the investment to its cooperative neighbors through their common neighbor, the cooperative behaviors is easier to diffuse on the graph with triangle loops than that without loops. The feedback reciprocity mechanism of triangle discloses why the cooperation is enhanced in the high clustered scale-free networks. Since the clustering property is an important character in many real-world networks, our results may provide some insight into understanding the emergence and persistence of cooperation in the networked systems.