| Payoff-based accumulative effect promotes cooperation in spatial prisoner’s dilemma |
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| 引用本文： | 刘永奎,李智,陈小杰,王龙.Payoff-based accumulative effect promotes cooperation in spatial prisoner’s dilemma[J].中国物理 B,2010,19(9):90203-090203. |
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| 作者姓名： | 刘永奎 李智 陈小杰 王龙 |
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| 作者单位： | Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China;Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China;State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China;Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 70671079, 60674050, 60736022 and 60528007), the National Basic Research Program of China (Grant No. 2002CB312200), the National High Technology Research and Development Prog |
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| 摘 要： | We study the effect of accumulative payoff on the evolution of cooperation in the evolutionary prisoner’s dilemma on a square lattice. We introduce a decaying factor for the accumulative payoff, which characterizes the extent that the historical payoff is accumulated. It is shown that for fixed values of the temptation to defect, the density of cooperators increases with the value of the decaying factor. This indicates that the more the historical payoff is involved, the more favourable cooperators become. In the critical region where the cooperator density converges to zero, cooperators vanish according to a power-law-like behaviour. The associated exponents agree approximately with the two-dimensional directed percolation and depend weakly on the value of the decaying factor.
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| 关 键 词： | payoff accumulative effect prisoner’s dilemma cooperation |
| 收稿时间： | 2009-10-13 |
Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma |
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| Liu Yong-Kui,Li Zhi,Chen Xiao-Jie and Wang Long.Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma[J].Chinese Physics B,2010,19(9):90203-090203. |
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| Authors: | Liu Yong-Kui Li Zhi Chen Xiao-Jie and Wang Long |
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| Institution: | Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China |
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| Abstract: | We study the effect of accumulative payoff on the evolution of cooperation in the evolutionary prisoner's dilemma on a square lattice. We introduce a decaying factor for the accumulative payoff, which characterizes the extent that the historical payoff is accumulated. It is shown that for fixed values of the temptation to defect, the density of cooperators increases with the value of the decaying factor. This indicates that the more the historical payoff is involved, the more favourable cooperators become. In the critical region where the cooperator density converges to zero, cooperators vanish according to a power-law-like behaviour. The associated exponents agree approximately with the two-dimensional directed percolation and depend weakly on the value of the decaying factor. |
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| Keywords: | payoff accumulative effect prisoner's dilemma cooperation |
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