Cooperation percolation in spatial prisoner's dilemma game

Autor: Han-Xin Yang, Zhihai Rong, Wen-Xu Wang
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: New Journal of Physics, Vol 16, Iss 1, p 013010 (2014)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/16/1/013010
Popis: The paradox of cooperation among selfish individuals still puzzles scientific communities. Although a large amount of evidence has demonstrated that the cooperator clusters in spatial games are effective in protecting the cooperators against the invasion of defectors, we continue to lack the condition for the formation of a giant cooperator cluster that ensures the prevalence of cooperation in a system. Here, we study the dynamical organization of the cooperator clusters in spatial prisoner's dilemma game to offer the condition for the dominance of cooperation, finding that a phase transition characterized by the emergence of a large spanning cooperator cluster occurs when the initial fraction of the cooperators exceeds a certain threshold. Interestingly, the phase transition belongs to different universality classes of percolation determined by the temptation to defect b . Specifically, on square lattices, 1
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