Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma

doi:10.1088/1674-1056/19/9/090203

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90203-090203.doi: 10.1088/1674-1056/19/9/090203

Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma

刘永奎¹, 李智¹, 王龙², 陈小杰³

(1)Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; (2)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; (3)State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China

收稿日期:2009-10-13 修回日期:2010-01-31 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
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

Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma

Liu Yong-Kui(刘永奎)^a)†ger, Li Zhi(李~~智)^a), Chen Xiao-Jie(陈小杰)^b), and Wang Long(王~~龙)^a)b)

^a Center for Complex Systems, Department of Automatic Control Engineering, Xidian University, Xi'an 710071, China; ^b State Key Laboratory for Turbulence and Complex Systems, Center for Systems and Control, College of Engineering, Peking University, Beijing 100871, China

Received:2009-10-13 Revised:2010-01-31 Online:2010-09-15 Published:2010-09-15
Supported by:
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 Program of China (Grant No. 2006AA04Z258) and 11-5 Project (Grant No. A2120061303).

摘要/Abstract

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.

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.

Key words: payoff, accumulative effect, prisoner's dilemma, cooperation

中图分类号:

0250

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.

Liu Yong-Kui(刘永奎), Li Zhi(李~~智), Chen Xiao-Jie(陈小杰), and Wang Long(王~~龙). Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma[J]. Chin. Phys. B, 2010, 19(9): 90203-090203.

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Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma

Payoff-based accumulative effect promotes cooperation in spatial prisoner's dilemma

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