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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Robustness of cooperation in the evolutionary prisoner's dilemma on complex networks

Focus on Complex Networked Systems: Theory and Application

J Poncela1, J Gómez-Gardeñes1,2, L M Floría1,2 and Y Moreno1,3

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Part of Focus on Complex Networked Systems: Theory and Application

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 behaviour 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 Erdős–Renyi graphs and the Barabási–Albert networks.


PACS

87.23.Kg Dynamics of evolution

89.75.Hc Networks and genealogical trees

89.75.Fb Structures and organization in complex systems

Subjects

Environmental and Earth science

Statistical physics and nonlinear systems

Dates

Issue 6 (June 2007)

Received 19 February 2007

Published 28 June 2007



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