Strategy Selection in Public Games with Punishment on Small World Network

Abstract

Investigation of punishment has shaken the positive role in the evolution of cooperation. However, punishment is ubiquitous in nature, and more favored by certain modern societies in particular. To explore the underlying principle of such phenomenon, we study the evolution of cooperation in the context of punishments subject to social network. The results suggest that punishment has a great effect on the evolution of cooperation. In the network structured population, highly cooperation emerged even with ordinary punishment. As the number of social neighborhood increase, the cooperation will decrease.