|Título||Percolation and cooperation with mobile agents geometric and strategy clusters
Vainstein, Mendeli Henning
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.
Teoria de redes
Teoria dos jogos
|Tipo||Artigo de periódico
|000940971.pdf (650.0Kb)||Texto completo (inglês)||Adobe PDF||Visualizar/abrir|
Este item está licenciado na Creative Commons License