Han Shuang2010

Adaptive co-evolution of strategies and network leading to optimal cooperation level in spatial prisoner's dilemma game

C. Han-Shuang, H. Zhong-Huai, Z. Ji-Qian, and X. Hou-Wen
Chin. Phys. B 19, 5, 050205, 2010.

We study evolutionary prisoner’s dilemma game on adaptive networks where a population of players co-evolves
with their interaction networks. During the co-evolution process, interacted players with opposite strategies either
rewire the link between them with probability p or update their strategies with probability 1 − p depending on their
payoffs. Numerical simulation shows that the final network is either split into some disconnected communities whose
players share the same strategy within each community or forms a single connected network in which all nodes are
in the same strategy. Interestingly, the density of cooperators in the final state can be maximised in an intermediate
range of p via the competition between time scale of the network dynamics and that of the node dynamics. Finally, the
mean-field analysis helps to understand the results of numerical simulation. Our results may provide some insight into
understanding the emergence of cooperation in the real situation where the individuals’ behaviour and their relationship
adaptively co-evolve.

This paper in Chin. Phys. B

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