基于演化博弈的社交网络模型演化研究

刘群; 易佳

doi:10.7498/aps.62.238902

摘要

社会网络研究的兴起，为网络演化规律研究提供了有效工具，但大多数研究集中从宏观机制评估网络演化的动态过程. 本文基于公共品博弈，通过演化博弈与网络拓扑共演化方式，从微观角度提出了多社区动态网络演化模型（dMCPGG）. 即以节点间演化博弈为动力，修改节点间边的关系，驱动网络拓扑演化. 考虑到网络异质性，采用基于拓扑势的偏好规则更准确全面的描述节点影响力. 通过数值模拟和仿真实验，验证了本模型的合理性，不仅重现了无标度网络及随机网络的节点度、聚类系数及平均路径长度的结构特性，还准确捕捉到真实社交网络的演化过程.

关键词:

Abstract

The development of research on social network makes a great contribution to the study of network evolution though much of the work focuses on a macroscopic evolutionary mechanism. In this paper, based on public goods games, an optimized evolutionary dynamic multi-community network model generated by the co-evolution process of evolutionary games and network topology is put forward (dMCPGG). Edges are revised according to the difference between expected payoff and effective payoff through time. Considering the heterogeneous topology, a new preferential rule based on the topological potential is introduced to quantify the nodes’ importance when choosing and updating the payoff of individuals in the public goods games. Finally, the results of simulations demonstrate that the dMCPGG model can reproduce the random world and scale-free world features, such as the nodes’ degree, clustering coefficient and average path length. Finally, we apply our model to United State Congress voting data and verify its rationality.

Keywords:

作者及机构信息

刘群,
易佳

1.
重庆邮电大学, 计算智能重庆市重点实验室, 重庆 400065

基金项目: 国家自然科学基金（批准号：61075019）和重庆市自然科学基金（批准号：CSTC2011jjA40045）资助的课题.

Authors and contacts

Liu Qun,
Yi Jia

1.
Chongqing key laboratory of computational intelligence, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61075019), and the Natural Science Foundation of Chongqing, China (Grant No. CSTC2011jjA40045).

参考文献

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[10]	Fu F, Liu L H, Wang L 2007 Eur. Phys. J. B 56 367
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[19]	Zimmermann M G, Eguíluz V M 2005 Phys. Rev. E 72 056118
[20]	Helbing D, Yu W J 2009 Proc. Natl. Acad. Sci. U.S.A. 106 3680
[21]	Ho Q R, Song L, Eric P X 2011 J. Mach. Learn. Res. 15 342
[22]	Arne T, Jorge M P, Martin A N 2007 J. Theor. Biol. 246 522
[23]	Liu J G, Ren Z M, Guo Q, Wang B H 2013 Acta Phys. Sin. 62 178901 (in Chinese) [刘建国, 任卓明, 郭强, 汪秉宏 2013 62 178901]
[24]	Zhao D J, Wang H, Li D Y, Li Z, Yang H T, Chen G S 2012 Science & Technology Review 30 71 (in Chinese) [赵东杰, 王华, 李德毅, 李智, 杨海涛, 陈桂生 2012 科技导报 3071]
[25]	Gan W Y, He N, Li D Y, Wang J M 2009 Journal of Software 20 2241 (in Chinese) [淦文燕, 赫南, 李德毅, 王建民 2009 软件学报 20 2241]
[26]	Yang Z, Zhou T, Hui P M, Ke J H 2012 PLoS One 7 0049663
[27]	Onureena B, Laurent E G, Alexandre D A 2008 J. Mach. Learn. Res. 9 485

施引文献

[1]	Klemm K, Eguíluz V M 2002 Phys. Rev. E 65 036123
[2]	Li X, Chen G R 2003 Physica A 328 274
[3]	Bianconi G, Barabási A L 2011 Phys. Rev. Lett. 86 5632
[4]	Barrat A, Barthelemy M, Vespignani A 2004 Phys. Rev. E 70 066149
[5]	Ji L H, Liao X F, Liu Q 2012 Acta Phys. Sin. 61 220202 (in Chinese) [纪良浩, 廖晓峰, 刘群 2012 61 220202]
[6]	Xing C M, Liu F A 2010 Acta Phys. Sin. 59 1614 (in Chinese) [邢长明, 刘方爱 2010 59 1614]
[7]	Tang S X, Chen L, He Y G 2011 Chin. Phys. B 20 110502
[8]	Lin H, Wu C X 2007 Acta Phys. Sin. 56 4318 (in Chinese) [林海, 吴晨旭 2007 56 4318]
[9]	Zhou T, Zhou P L, Liu J, Wang B H 2005 Complex Systems and Complexity Science 2 18 (in Chinese) [周涛, 周佩玲, 刘隽, 汪秉宏 2005 复杂系统与复杂性科学 2 18]
[10]	Fu F, Liu L H, Wang L 2007 Eur. Phys. J. B 56 367
[11]	Du W B, Cao X B, Yang H X, Hu M B 2010 Chin. Phys. B 19 010204
[12]	Santos F C, Rodrigues J F, Pacheco J M 2005 Phys. Rev. E 72 056128
[13]	Hisashi O, Christoph H, Erez L, Martin A N 2006 Nature 441 502
[14]	Yang H X, Gao K, Han X P, Wang B H 2008 Chin. Phys. B 17 2763
[15]	Tang C L, Wang W X, Wu X, Wang B H 2006 Eur. Phys. J. B 53 411
[16]	Rong Z, Yang H X, Wang W X 2010 Phys. Rev. E 82 047101
[17]	Yang H X, Wang W X, Wu Z X, Lai Y C, Wang B H 2009 Phys. Rev. E 79 056107
[18]	Rong Z, Yang H X, Wang W X 2010 Proceedings of 2010 IEEE International Symposium on Circuits and Systems Pairs, France, May 30–June 2, 2010, p405
[19]	Zimmermann M G, Eguíluz V M 2005 Phys. Rev. E 72 056118
[20]	Helbing D, Yu W J 2009 Proc. Natl. Acad. Sci. U.S.A. 106 3680
[21]	Ho Q R, Song L, Eric P X 2011 J. Mach. Learn. Res. 15 342
[22]	Arne T, Jorge M P, Martin A N 2007 J. Theor. Biol. 246 522
[23]	Liu J G, Ren Z M, Guo Q, Wang B H 2013 Acta Phys. Sin. 62 178901 (in Chinese) [刘建国, 任卓明, 郭强, 汪秉宏 2013 62 178901]
[24]	Zhao D J, Wang H, Li D Y, Li Z, Yang H T, Chen G S 2012 Science & Technology Review 30 71 (in Chinese) [赵东杰, 王华, 李德毅, 李智, 杨海涛, 陈桂生 2012 科技导报 3071]
[25]	Gan W Y, He N, Li D Y, Wang J M 2009 Journal of Software 20 2241 (in Chinese) [淦文燕, 赫南, 李德毅, 王建民 2009 软件学报 20 2241]
[26]	Yang Z, Zhou T, Hui P M, Ke J H 2012 PLoS One 7 0049663
[27]	Onureena B, Laurent E G, Alexandre D A 2008 J. Mach. Learn. Res. 9 485

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