Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism

doi:10.1088/1674-1056/19/1/010204

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10204-010204.doi: 10.1088/1674-1056/19/1/010204

Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism

杨涵新¹, 杜文博², 曹先彬², 胡茂彬³

(1)Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; (2)School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China; (3)School of Engineering Science, University of Science and Technology of China, Hefei 230026, China

收稿日期:2009-05-18 修回日期:2009-06-22 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the Major State Basic Research Development Program of China (Grant No. 2004CB318109), Program for New Century Excellent Talents in University of China (Grant No. NCET-07-0787) and the National Natural Science Foundation of China (Grant No. 70601026).

Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism

Du Wen-Bo(杜文博)^a)^†, Cao Xian-Bin(曹先彬)^a)^‡, Yang Han-Xin(杨涵新)^b), and Hu Mao-Bin(胡茂彬)^c)^*

^a School of Computer Science and Technology, University of Science and Technology of China, Hefei 230026, China; ^b Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; ^c School of Engineering Science, University of Science and Technology of China, Hefei 230026, China

Received:2009-05-18 Revised:2009-06-22 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the Major State Basic Research Development Program of China (Grant No. 2004CB318109), Program for New Century Excellent Talents in University of China (Grant No. NCET-07-0787) and the National Natural Science Foundation of China (Grant No. 70601026).

摘要/Abstract

摘要： In this paper, we introduce an asymmetric payoff distribution mechanism into the evolutionary prisoner's dilemma game (PDG) on Newman--Watts social networks, and study its effects on the evolution of cooperation. The asymmetric payoff distribution mechanism can be adjusted by the parameter α: if α>0, the rich will exploit the poor to get richer; if α<0, the rich are forced to offer part of their income to the poor. Numerical results show that the cooperator frequency monotonously increases with α and is remarkably promoted when α>0. The effects of updating order and self-interaction are also investigated. The co-action of random updating and self-interaction can induce the highest cooperation level. Moreover, we employ the Gini coefficient to investigate the effect of asymmetric payoff distribution on the the system's wealth distribution. This work may be helpful for understanding cooperative behaviour and wealth inequality in society.

Abstract: In this paper, we introduce an asymmetric payoff distribution mechanism into the evolutionary prisoner's dilemma game (PDG) on Newman--Watts social networks, and study its effects on the evolution of cooperation. The asymmetric payoff distribution mechanism can be adjusted by the parameter α: if $\alpha>0$, the rich will exploit the poor to get richer; if $\alpha<0$, the rich are forced to offer part of their income to the poor. Numerical results show that the cooperator frequency monotonously increases with α and is remarkably promoted when $\alpha>0$. The effects of updating order and self-interaction are also investigated. The co-action of random updating and self-interaction can induce the highest cooperation level. Moreover, we employ the Gini coefficient to investigate the effect of asymmetric payoff distribution on the the system's wealth distribution. This work may be helpful for understanding cooperative behaviour and wealth inequality in society.

Key words: prisoner's dilemma game, cooperation, complex social networks

中图分类号: (Networks and genealogical trees)

89.75.Hc

02.50.Le (Decision theory and game theory) 02.50.Ng (Distribution theory and Monte Carlo studies) 89.65.-s (Social and economic systems)

杜文博, 曹先彬, 杨涵新, 胡茂彬. Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism[J]. 中国物理B, 2010, 19(1): 10204-010204.

Du Wen-Bo(杜文博), Cao Xian-Bin(曹先彬), Yang Han-Xin(杨涵新), and Hu Mao-Bin(胡茂彬) . Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism[J]. Chin. Phys. B, 2010, 19(1): 10204-010204.

参考文献 44

[1]	Axelrod R 1984 The Evolution of Cooperation (New York: Basic Books)
[2]	Neumann J V and Morgenstern O 1944 Theory of Games and Economic Behaviour (Princeton: Princeton Universtiy Press)
[3]	Smith J M 1982 Evolution and the Theory of Games (Cambridge: Cambridge University Press)
[4]	Hofbauer J and Sigmund K 1998 Evolutionary Games and Population Dynamics (Cambridge: Cambridge University Press)
[5]	Xu Q X and Xu X J 2009 Chin. Phys. B 18 933
[6]	Chen F, Chen Z Q and Yuan Z Z 2007 Chin. Phys. 16 287
[7]	Szabó G and Fáth G 2007 Phys. Rep. 446 97
[8]	Nowak M and May R M 1992 Nature (London) 359 826
[9]	Nowak M and Sigmund K 1993 Nature (London) 364 56
[10]	Szabó G and T?ke C 1998 Phys. Rev. E 58 69
[11]	Doebeli M and Knowlton N 1998 Proc. Natl. Acad. Sci. USA 95 8676
[12]	Szabó G and Hauert C 2002 Phys. Rev. Lett. 89 118101
[13]	Wang W X, Ren J, Chen G and Wang B H 2006 Phys. Rev. E 74 056113
[14]	Wang W X, Lü J H, Chen G and Hui P M 2008 Phys. Rev. E 77 046109
[15]	Perc M 2006 New J. Phys. 8 22
[16]	Wu Z X, Xu X J, Huang Z G, Wang S J and Wang Y H 2006 Phys. Rev. E 74 021107
[17]	Wu Z X and Wang Y H 2007 Phys. Rev. E 75 041114
[18]	Chen X J, Fu F and Wang L 2008 Phys. Rev. E 78 051120
[19]	Guan J Y, Wu Z X and Wang Y H 2007 Chin. Phys. 16 3566
[20]	Quan H J, Wang B H, Yang W S, Wang W N and Luo X S 2002 Acta Phys. Sin. 51 2667 (in Chinese)
[21]	Watts D J and Strogatz S H 1998 Nature 393 440
[22]	Newman M E J and Watts D J 2005 Phys. Rev. E 60 7332
[23]	Sun K, Mao X M and Ouyang Q 2002 Chin. Phys. 11 1280
[24]	Du H F, Li S Z, Marcus W F, Yue Z S and Yang X S 2007 Acta Phys. Sin. 56 6886 (in Chinese)
[25]	Abramson G and Kuperman M 2001 Phys. Rev. E 63 030901(R)
[26]	Kim B J, Trusina A, Holme P, Minnhagen P, Chung J S and Choi M Y 2002 Phys. Rev. E 66 021907
[27]	Hauert C and Doebeli M 2004 Nature 428 643
[28]	Wu Z X, Xu X J, Chen Y and Wang Y H 2005 Phys. Rev. E 71 037103
[29]	Hauert C and Szabó G 2005 Am. J. Phys. 73 405
[30]	Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104
[31]	Ren J, Wang W X and Qi F 2007 Phys. Rev. E 75 045101(R)
[32]	Yang H X, Gao K, Han X P and Wang B H 2008 Chin. Phys. B 17 2759
[33]	Du W B, Cao X B, Hu M B, Yang H X and Zhou H 2009 Physica A 388 2215
[34]	Rong Z H, Li X and Wang X F 2007 Phys. Rev. E 76 027101
[35]	Lin H and Wu C X 2007 Acta Phys. Sin. 56 4313 (in Chinese)
[36]	Santos F C, Rodrigues J F and Pacheco J M 2005 Phys. Rev. E 72 056128
[37]	Santos F C and Pacheco J M 2006 Journal of Evolutionary Biology 19 726
[38]	Chen X J and Wang L 2008 Phys. Rev. E 77 017103
[39]	Hauert C, Traulsen A, Brandt H, Nowak M and Sigmund K 2007 Science 316 1905
[40]	Szolnoki A and Perc M 2008 New J. Phys. 10 043036
[41]	Qin S M, Chen Y, Zhao X Y and Shi J 2008 Phys. Rev. E 78 041129
[42]	Perc M 2006 New J. Phys. 8 183
[43]	Szabó G, Vukov J and Szolnoki A 2005 Phys. Rev. E 72 047107
[44]	Hu M B, Jiang R, Wu Q S and Wu Y H 2007 Physica A 381 467

Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism

Evolutionary prisoner's dilemma on Newman--Watts socialnetworks with an asymmetric payoff distribution mechanism

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