Co-evolutionary games on networks

Details Co-evolutionary games on networks Co-evolutionary games on networks

2002-08-14

arxiv.org/abs/cond-mat/0208273v1

Phys. Rev. E 66 (2002) 056118

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages RevTeX, 5 figures PostScript

Scientific paper

10.1103/PhysRevE.66.056118

We study agents on a network playing an iterated Prisoner's dilemma against their neighbors. The resulting spatially extended co-evolutionary game exhibits stationary states which are Nash equilibria. After perturbation of these equilibria, avalanches of mutations reestablish a stationary state. Scale-free avalanche distributions are observed that are in accordance with calculations from the Nash equilibria and a confined branching process. The transition from subcritical to critical avalanche dynamics can be traced to a change in the degeneracy of the cooperative macrostate and is observed for many variants of this game.

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