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Percolation and cooperation with mobile agents geometric and strategy clusters

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Percolation and cooperation with mobile agents geometric and strategy clusters

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Título Percolation and cooperation with mobile agents geometric and strategy clusters
Autor Vainstein, Mendeli Henning
Brito, Carolina
Arenzon, Jeferson Jacob
Abstract We study the conditions for persistent cooperation in an off-lattice model of mobile agents playing the Prisoner’s Dilemma game with pure, unconditional strategies. Each agent has an exclusion radius rp , which accounts for the population viscosity, and an interaction radius rint, which defines the instantaneous contact network for the game dynamics. We show that, differently from the rp = 0 case, the model with finite-sized agents presents a coexistence phase with both cooperators and defectors, besides the two absorbing phases, in which either cooperators or defectors dominate.We provide, in addition, a geometric interpretation of the transitions between phases. In analogy with lattice models, the geometric percolation of the contact network (i.e., irrespective of the strategy) enhances cooperation. More importantly, we show that the percolation of defectors is an essential condition for their survival. Differently from compact clusters of cooperators, isolated groups of defectors will eventually become extinct if not percolating, independently of their size.
Contido em Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 90, no. 2 (Aug. 2014), 022132, 6 p.
Assunto Percolacao
Teoria de redes
Teoria dos jogos
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/106981
Arquivos Descrição Formato
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