Promotion of cooperation induced by nonuniform payoff allocation in spatial public goods game |
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Authors: | D. Peng H.-X. Yang W.-X. Wang G. R. Chen B.-H. Wang |
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Affiliation: | 1.Department of Modern Physics,University of Science and Technology of China,Hefei,P.R. China;2.Department of Electrical Engineering,Arizona StateUniversity,Tempe,USA;3.Department of Electronic Engineering,City University of Hong Kong,Kowloon Hong Kong SAR,P.R. China;4.Research Center for Complex System Science, University of Shanghai for Science and Technology and Shanghai Academy of System Science,Shanghai,P.R. China |
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Abstract: | A nonuniform payoff allocation mechanism is proposed for spatial public goods games where individuals are nodes on a scale-free network. Each individual is assigned a weight ki α, where ki is the degree of individual i and α is an adjustable parameter that controls the degree of diversity in individuals’ profits. During the evolution progress, the allocation of payoff on individual i is assumed to be proportional to its weight. Individuals synchronously update their strategies according to the stochastic rule with a fixed noise level. It is found that there exists an optimal value of α which yields the highest level of cooperation. Other pertinent quantities, including the payoff and the probability of finding a node playing as cooperator versus the degree, are also investigated computationally and analytically. Our results suggest that a suitable degree of diversity among individuals can promote the emergence of cooperation. |
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