Dresden 2006 – wissenschaftliches Programm
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AKSOE: Physik sozio-ökonomischer Systeme
AKSOE 10: Poster Session (posters are expected to be displayed the full day 8:30-18:00)
AKSOE 10.22: Poster
Mittwoch, 29. März 2006, 16:00–18:00, P2
Phase diagrams for an evolutionary Prisoner’s Dilemma game on different random regular graphs — •Jeromos Vukov1 and György Szabó2 — 1Department of Biological Physics, Eötvös University, H-1117 Budapest, Pázmány P. stny. 1/A., Hungary — 2Research Institute for Technical Physics and Materials Science P.O. Box 49, H-1525 Budapest, Hungary
We studied an evolutionary Prisoner’s Dilemma (PD) game with players located on random regular graphs. Systematical Monte Carlo simulations and dynamical cluster techniques were performed to analyse the effects of changing the payoffs and the noise (temperature) upon the maintenance of cooperation. The system exhibits second order phase transition from mixed state of cooperators and defectors to absorbing state where only defectors remain alive. Plotting the critical points on the temperature-b (temptation to defect) plane, we have determined the phase boundaries. In comparison to the phase diagrams of two-dimensional lattices, in the high temperature limit, cooperation consists on random regular graphs in a much wider parameter range than on two-dimensional lattices. Thus (in this limit) the maintenance of cooperation needs rather fixed neighborhood than spatial structure.