| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Modelling Moran Process with Network Dynamics for the Evolution of Cooperation |
| YANG Dong-Ping, LIN Hai, WU Chen-Xu, SHUAI Jian-Wei |
| Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005 |
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| Cite this article: |
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YANG Dong-Ping, LIN Hai, WU Chen-Xu et al 2009 Chin. Phys. Lett. 26 068902 |
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Abstract We introduce a simple model based on the Moran process with network dynamics. Using pair approximation, the cooperation frequencies at equilibrium states are deduced for general interactions. Three usual social dilemmas are discussed in the framework of our model. It is found that they all have a phase transition at the same value of cost-to-benefit ratio. For the prisoner's dilemma game, notably it is exactly the simple rule reported in the literature [Nature 441(2006)502]. In our model, the simple rule results from the parent-offspring link. Thus the basic mechanism for cooperation enhancement in network reciprocity is in line with the Hamilton rule of kin selection. Our simulations verify the analysis obtained from pair approximation.
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Received: 09 January 2009
Published: 01 June 2009
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