title: Scale-invariant behavior in a spatial game of prisoners' dilemma.
abstract: A spatially extended version of the game of prisoner's dilemma, originally proposed by Nowak and May, is modified to include stochastic updating and found to exhibit scale-invariant behavior. Two critical regimes with different scaling behaviors are found; the corresponding exponents have been determined numerically. Spatially, the critical states are characterized by the existence of delicately balanced networks of defectors separating domains of cooperators; temporally, the evolution of the critical states following local perturbations is characterized by avalanches of various magnitudes, which cause restructuring of the networks of defectors on all scales.
authors.affiliation: Department of Computational Science, National University of Singapore, Singapore 117543.
authors.forename: Y F
authors.initials: YF
authors.lastname: Lim
authors.forename: Kan
authors.initials: K
authors.lastname: Chen
authors.forename: C
authors.initials: C
authors.lastname: Jayaprakash