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arXiv physics/0605250physics.soc-ph
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进化博弈与网络结构的互动:社会网络、合作与财富的协同进化

Interplay between evolutionary game and network structure: the coevolution of social net, cooperation and wealth

Jie Ren, Xiang Wu, Wen-Xu Wang, Guanrong Chen, Bing-Hong Wang

摘要:

我们研究了演化博弈和网络结构之间的相互作用,并展示了博弈的动态如何影响网络的增长模式,以及网络的演化如何影响博弈中的合作行为。仿真结果表明,基于支付的优先连接机制导致了无标度结构性质$P(k)\sim k^{-γ}$的出现.此外,我们还研究了平均路径长度和非线性混合特性。研究结果表明,该网络具有小世界和正反馈行为,这与实际社交网络的观测结果一致。同时,我们发现底层网络结构的演化有效地促进了博弈的合作水平。我们还研究了由我们的模型得到的财富分布,这是符合帕累托定律在实际观察。此外,生成的无标度网络结构的分析提供了更好地理解我们的模型的演化动力学。

英文摘要:

We study the interplay between evolutionary game and network structure and show how the dynamics of the game affect the growth pattern of the network and how the evolution of the network influence the cooperative behavior in the game. Simulation results show that the payoff-based preferential attachment mechanism leads to the emergence of a scale-free structural property, $P(k)\sim k^{-γ}$. Moreover, we investigate the average path length and the assortative mixing features. The obtained results indicate that the network has small-world and positive assortative behaviors, which are consistent with the observations of some real social networks. In parallel, we found that the evolution of the underlying network structure effectively promotes the cooperation level of the game. We also investigate the wealth distribution obtained by our model, which is consistent with the Pareto law in the real observation. In addition, the analysis of the generated scale-free network structure is provided for better understanding the evolutionary dynamics of our model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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