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

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

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.

Keywords: payoff accumulative effect prisoner's dilemma cooperation

Received: 13 October 2009
Revised: 31 January 2010
Accepted manuscript online:

PACS:	0250
	0175
	0270

Fund: 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).

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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 2010 Chin. Phys. B 19 090203

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