Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-06
Physics
Condensed Matter
Statistical Mechanics
20 pages, 25 figures. to appear in JSTAT
Scientific paper
We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to being cheated in prisoner's dilemma and may cheat even when not dictated by evolutionary dynamics. We consider two variants. In either case, the agents mimic the action (cooperation or defection) in the previous timestep of the most successful agent in the neighborhood. Over and above this, the fraction p of cooperators spontaneously change their strategy to pure defector at every time step in the first variant. In the second variant, there are no pure cooperators. All cooperators keep defecting with probability p at every time-step. In both cases, the system switches from coexistence state to an all-defector state for higher values of p. We show that the transition between these states unambiguously belongs to directed percolation universality class in 2 + 1 dimension. We also study the local persistence and the persistence exponents are higher than ones obtained in previous studies underlining their dependence on details of dynamics
Gade Prashant M.
Saif Ali M.
No associations
LandOfFree
Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamic Phase Transition in Prisoner's Dilemma on a Lattice with Stochastic Modifications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-357484