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
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
摘要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= (ki・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.
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= (ki・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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2009, Vol. 26 
