CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Evolutionary Games on Weighted Newman-Watts Small-World Networks |
DU Wen-Bo1, CAO Xian-Bin1,2, ZHAO Lin3, ZHOU Hong1 |
1Department of Computer Science and Technology, University of Science and Technology of China, Hefei 2300262Anhui Province Key Laboratory of Software in Computing and Communication, University of Science and Technology of China, Hefei 2300263School of Life Sciences, University of Science and Technology of China, Hefei 230026 |
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Cite this article: |
DU Wen-Bo, CAO Xian-Bin, ZHAO Lin et al 2009 Chin. Phys. Lett. 26 058701 |
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Abstract We investigate the evolutionary prisoner's dilemma game (PDG) on weighted Newman-Watts (NW) networks. In weighted NW networks, the link weight wij is assigned to the link between the nodes i and j as: wij= (ki12539;kj)β, where ki(kj) is the degree of node i(j) and β represents the strength of the correlations. Obviously, the link weight can be tuned by only one parameter β. We focus on the cooperative behavior and wealth distribution in the system. Simulation results show that the cooperator frequency is promoted by a large range of β and there is a minimal cooperation frequency around β=-1. Moreover, we also employ the Gini coefficient to study the wealth distribution in the population. Numerical results show that the Gini coefficient reaches its minimum when β≈-1. Our work may be helpful in understanding the emergence of cooperation and unequal wealth distribution in society.
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Keywords:
87.23.Ge
02.50.Le
89.65.-s
89.75.Fb
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Received: 27 October 2008
Published: 23 April 2009
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PACS: |
87.23.Ge
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(Dynamics of social systems)
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02.50.Le
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(Decision theory and game theory)
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89.65.-s
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(Social and economic systems)
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89.75.Fb
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(Structures and organization in complex systems)
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