Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2007-03-07
Biology
Quantitative Biology
Populations and Evolution
18 pages, 6 figures, revised version accepted for publication in New Journal of Physics (2007)
Scientific paper
10.1088/1367-2630/9/6/184
Recent studies on the evolutionary dynamics of the Prisoner's Dilemma game in scale-free networks have demonstrated that the heterogeneity of the network interconnections enhances the evolutionary success of cooperation. In this paper we address the issue of how the characterization of the asymptotic states of the evolutionary dynamics depends on the initial concentration of cooperators. We find that the measure and the connectedness properties of the set of nodes where cooperation reaches fixation is largely independent of initial conditions, in contrast with the behavior of both the set of nodes where defection is fixed, and the fluctuating nodes. We also check for the robustness of these results when varying the degree heterogeneity along a one-parametric family of networks interpolating between the class of Erdos-Renyi graphs and the Barabasi-Albert networks.
Floria Luis Mario
Gomez-Gardenes Jesus
Moreno Yamir
Poncela Julia
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