|
|
Maintenance of cooperation induced by punishment in public goods games |
Wang Zhen(王震)a),Xu Zhao-Jin(许照锦)b), Huang Jian-Hua(黄建华)a), and Zhang Lian-Zhong(张连众)a)† |
a School of Physics, Nankai University, Tianjin 300071, China; b School of Science, Tianjin University of Technology, Tianjin 300384, China |
|
|
Abstract In this paper, we study the public goods games with punishment by adopting the well-known approximate best response dynamics. It shows that the evolution of cooperation is affected by two aspects when other parameters are fixed. One is the punishment mechanism which can avoid the dilemma of lacking investment, and the other is the degree of rationality. Theoretical analysis and numerical results indicate that the existence of punishment mechanism and distribution of rationality are the keys to the enhancement of cooperation level. We also testify that they can heavily influence the payoffs of system as well. The findings in this paper may provide a deeper understanding of some social dilemmas.
|
Received: 10 September 2009
Revised: 29 March 2010
Accepted manuscript online:
|
PACS:
|
02.50.Le
|
(Decision theory and game theory)
|
|
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10672081). |
Cite this article:
Wang Zhen(王震),Xu Zhao-Jin(许照锦), Huang Jian-Hua(黄建华), and Zhang Lian-Zhong(张连众) Maintenance of cooperation induced by punishment in public goods games 2010 Chin. Phys. B 19 100204
|
[1] |
Binmore K G 1994 Playing Fair: Game Theory and the Social Contract (Cambridge: MIT Press)
|
[2] |
Colman A M 1995 Game Theory and Its Application in the Social and Biological Sciences (Oxford: Butterworth-Heinemann)
|
[3] |
Doebeli M and Hauert C 2005 Ecol. Lett. 8 748
|
[4] |
Hauert C, Holmes M and Doebeli M 2006 Proc. R. Soc. B bf273 2565
|
[5] |
Chen Y Z, Huang Z G, Wang S J, Zhang Y and Wang Y H 2009 Phys. Rev. E 79 055101(R)
|
[6] |
Wedekind C and Milinski M 2000 Science 288 850
|
[7] |
Hauert C, De Monte S, Hofhauer J and Sigmund K 2002 Science 296 1129
|
[8] |
Hauert C, De Monte S, Hofhauer J and Sigmund K 2002 J. Theor. Biol. 218 187
|
[9] |
Szabó G and Hauert C 2002 Phys. Rev. Lett. 89 118101
|
[10] |
Semmann D, Krambeck H and Milinski M 2003 Nature 425 390
|
[11] |
Traulsen A, Hauert C, De Silva H, Nowak M A and Sigmund K 2009 Proc. Nat. Acad. Sci. USA 106 709
|
[12] |
Szabó G and Fath G 2007 Phys. Rep. 446 97
|
[13] |
Hardin G 1968 Science 162 1243
|
[14] |
Hardin G 1998 Science 280 682
|
[15] |
Hofbauer J 2000 Selection bf1 81
|
[16] |
Guan J Y, Wu Z X and Wang Y H 2007 Phys. Rev. E 76 056101
|
[17] |
Wu T, Fu F and Wang L 2009 Phys. Rev. E 80 026121
|
[18] |
Shi D M, Yang H X, Hu M B, Du W B, Wang B H and Cao X B 2009 Physica A 388 4646
|
[19] |
Szolnoki A, Perc M and Szabó 2009 Phys. Rev. E 80 056109
|
[20] |
Feng C F, Xu X J, Wu Z X and Wang Y H 2008 Chin. Phys. B 17 1951
|
[21] |
Yang H X, Gao K, Han X P and Wang B H 2008 Chin. Phys. B 17 2759
|
[22] |
Hauert C and Szabó G 2003 Complexity 8 31
|
[23] |
Santos F C, Santos M D and Pacheco J M 2008 Nature 454 213
|
[24] |
Brandt H, Hauert C and Sigmund K 2006 Proc. Nat. Acad. Sci. USA 103 495
|
[25] |
Huang Z G, Wang S J, Xu X J and Wang Y H 2008 Europhys. Lett. 81 28001
|
[26] |
Peng D, Yang H Y, Wang W X, Chen G R and Wang B H 2010 Eur. Phys. J. B 73 455
|
[27] |
Sigmund K 2007 Trends Ecol. Evol. 22 593
|
[28] |
Sigmund K, Hauert C and Nowak M A 2001 Proc. Nat. Acad. Sci. USA 98 10757
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|