A network criterion for the success of cooperation in an evolutionary prisoner's dilemma, and a variation on Hamilton's rule

Details A network criterion for the success of cooperation in an evolutionary prisoner's dilemma, and a variation on Hamilton's rule A network criterion for the success of cooperation in an evolutionary prisoner's dilemma, and a variation on Hamilton's rule

2009-08-26

arxiv.org/abs/0908.3834v1

Physics

Physics and Society

7 pages, 3 figures

Scientific paper

We show that the success of cooperation in an evolutionary prisoner's dilemma on a complex network can be predicted by a simple, quantitative network analysis using mean field parameters. The criterion is shown to be accurate on a wide variety of networks with degree distributions ranging from regular to Poisson to scale-free. The network analysis uses a parameter that allows for comparisons of networks with both similar, and distinct, topologies. Furthermore, we establish the criterion here as a natural network analogue of Hamilton's classical rule for kin selection, despite arising in an entirely different context. The result is a network-based evolutionary rule for altruism that parallels Hamilton's genetic rule.

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