中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2759-2763.doi: 10.1088/1674-1056/17/8/002

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Evolutionary snowdrift game on heterogeneous Newman--Watts small-world network

杨涵新, 高 坤, 韩筱璞, 汪秉宏   

  1. Department of Modern Physics and Nonlinear Science Center, University of Science\\ and Technology of China, Hefei 230026, China
  • 收稿日期:2008-01-24 修回日期:2008-02-27 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project supported by the National Basic Research Program of China (No 2006CB705500), by the National Natural Science Foundation of China (Grant Nos 60744003, 10635040, 10532060 and 10472116), and the Specialized Research Fund for the Doctoral Program of Higher Education of China.

Evolutionary snowdrift game on heterogeneous Newman--Watts small-world network

Yang Han-Xin(杨涵新)†, Gao Kun(高坤), Han Xiao-Pu(韩筱璞), and Wang Bing-Hong(汪秉宏)‡   

  1. Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, China
  • Received:2008-01-24 Revised:2008-02-27 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project supported by the National Basic Research Program of China (No 2006CB705500), by the National Natural Science Foundation of China (Grant Nos 60744003, 10635040, 10532060 and 10472116), and the Specialized Research Fund for the Doctoral Program of Higher Education of China.

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摘要： We study the evolutionary snowdrift game in a heterogeneous Newman--Watts small-world network. The heterogeneity of the network is controlled by the number of hubs. It is found that the moderate heterogeneity of the network can promote the cooperation best. Besides, we study how the hubs affect the evolution of cooperative behaviours of the heterogeneous Newman--Watts small-world network. Simulation results show that both the initial states of hubs and the connections between hubs can play an important role. Our work gives a further insight into the effect of hubs on the heterogeneous networks.

关键词: complex networks, snowdrift game, cooperation, heterogeneous Newman--Watts small-world network

Abstract: We study the evolutionary snowdrift game in a heterogeneous Newman--Watts small-world network. The heterogeneity of the network is controlled by the number of hubs. It is found that the moderate heterogeneity of the network can promote the cooperation best. Besides, we study how the hubs affect the evolution of cooperative behaviours of the heterogeneous Newman--Watts small-world network. Simulation results show that both the initial states of hubs and the connections between hubs can play an important role. Our work gives a further insight into the effect of hubs on the heterogeneous networks.

Key words: complex networks, snowdrift game, cooperation, heterogeneous Newman--Watts small-world network

中图分类号:  (Networks and genealogical trees)

  • 89.75.Hc
02.50.Le (Decision theory and game theory)