“…This is the key element which establishes the so-called network reciprocity, first identified by Nowak and May [1]. This mechanism, which is practically an enhanced form of direct reciprocity [2], has been tested and justified by several forthcoming works [3,4,5,6,7,8] and became a starting element when different consequences of interaction topologies were studied on the evolution of cooperation [9,10,11,12]. Notably, there are certain mechanisms, like searching for a more supportive environment [13,14], avoiding toxic neighbors via migration [15,16], giving up the concept of uniform supporting and focusing on a specific neighbor [17,18,19,20], or applying interaction stochasticity toward different neighbors [21,22], which cannot be interpreted in a well-mixed population.…”