“…[26] In evolutionary games on graphs, natural selection favors defection, for cooperation to emerge, a mechanism for the promotion of cooperation is needed. During the past two decades, a wide range of mechanisms have been proposed to promote the evolution of cooperation, including image scoring, [27] reputation, [28] teaching activities, [29] reward [21] and punishment, [30,31] spatial structure in memorybased SDG, [32] compassion, [33] transaction costs, [34] deposit mechanism, [35] benefit community, [36] and break and establishment of links, etc. [37] Typically, Nowak proposed five rules [38] for the evolution of cooperation, which includes in-direct reciprocity.…”