Analytical description for the critical fixations of evolutionary coordination games on finite complex structured populations
文献类型：期刊论文
| 作者 | Zhang, LY; Zou, Y; Guan, SG; Liu, ZH |
| 刊名 | PHYSICAL REVIEW E
 |
| 出版日期 | 2015 |
| 卷号 | 91期号:4页码:42807 |
| 通讯作者 | Zou, Y (reprint author), E China Normal Univ, Dept Phys, Shanghai 200062, Peoples R China. |
| 英文摘要 | Evolutionary game theory is crucial to capturing the characteristic interaction patterns among selfish individuals. In a population of coordination games of two strategies, one of the central problems is to determine the fixation probability that the system reaches a state of networkwide of only one strategy, and the corresponding expectation times. The deterministic replicator equations predict the critical value of initial density of one strategy, which separates the two absorbing states of the system. However, numerical estimations of this separatrix show large deviations from the theory in finite populations. Here we provide a stochastic treatment of this dynamic process on complex networks of finite sizes as Markov processes, showing the evolutionary time explicitly. We describe analytically the effects of network structures on the intermediate fixations as observed in numerical simulations. Our theoretical predictions are validated by various simulations on both random and scale free networks. Therefore, our stochastic framework can be helpful in dealing with other networked game dynamics. |
| 学科主题 | Physics |
| 类目[WOS] | Physics, Fluids & Plasmas ; Physics, Mathematical |
| 关键词[WOS] | COOPERATION ; NETWORKS ; DYNAMICS ; STRATEGIES ; IMITATION ; EMERGENCE ; GRAPHS |
| 收录类别 | SCI |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21025]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 推荐引用方式 GB/T 7714 | Zhang, LY,Zou, Y,Guan, SG,et al. Analytical description for the critical fixations of evolutionary coordination games on finite complex structured populations[J]. PHYSICAL REVIEW E,2015,91(4):42807. |
| APA | Zhang, LY,Zou, Y,Guan, SG,&Liu, ZH.(2015).Analytical description for the critical fixations of evolutionary coordination games on finite complex structured populations.PHYSICAL REVIEW E,91(4),42807. |
| MLA | Zhang, LY,et al."Analytical description for the critical fixations of evolutionary coordination games on finite complex structured populations".PHYSICAL REVIEW E 91.4(2015):42807. |
入库方式： OAI收割
来源：理论物理研究所
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