摘要We study the evolution of cooperation for two cluster breaking mechanisms in a herding snowdrift game. The cooperative behavior is observed to be related to the cluster size. A negative dependence of the payoff parameter r on cooperative behavior is discovered. For a low r, herding helps promote the cooperation, whereas for a high r, herding tends to prevent cooperative behavior.
Abstract:We study the evolution of cooperation for two cluster breaking mechanisms in a herding snowdrift game. The cooperative behavior is observed to be related to the cluster size. A negative dependence of the payoff parameter r on cooperative behavior is discovered. For a low r, herding helps promote the cooperation, whereas for a high r, herding tends to prevent cooperative behavior.
CHEN Guang;QIU Tian;WU Xiao-Run. Clustering Effect on the Evolution of Cooperation in a Herding Snowdrift Game[J]. 中国物理快报, 2009, 26(6): 60201-060201.
CHEN Guang, QIU Tian, WU Xiao-Run. Clustering Effect on the Evolution of Cooperation in a Herding Snowdrift Game. Chin. Phys. Lett., 2009, 26(6): 60201-060201.
[1] Axelrod R and Hamilton W D 1981 Science 2111390 [2] Wedekind C and Milinski M 2000 Science 288 850 [3] Nowak M A 2006 Science 314 1560 [4] Fu F, Hauert C, Nowak M A and Wang L 2008 Phys. Rev.E 78 026117 [5] Hauert C and Doebeli M 2004 Nature 428 643 [6] Nowak M A and May R M 1992 Nature 359 826 [7] Nowak M A, Bonhoffer S and May R M 1994 Proc. Natl.Acad. Sci. 91 4877 [8] Perc M, Szolnoki A and Szab\'{o G 2008 Phys. Rev. E 78 066101 [9] Wang W X, Ren J, Chen G R and Wang B H 2006 Phys.Rev. E 74 056113 [10] Chen X J and Wang L 2008 Phys. Rev. E 77017103 [11] Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104 [12] Santos F C, Rodrigues J F and Pacheco J M 2005 Phys.Rev. E 72 056128 [13] Zhong L X, Zheng D F, Zheng B, Xu C, and Hui P M 2006 Europhys. Lett. 76 724 [14] Zheng D F, Yin H P, Chan C H, and Hui P M 2007 Europhys. Lett. 80 18002 [15] Qiu T, Fu C F and Chen G 2008 Int. J. Mod. Phys. B 22 4909 [16] Stauffer D and Penna T J P 1998 Physica A 256284 [17] Cont R and Bouchaud J P 2000 Macroecon. Dyn. 4 170 [18] Eguiluz V M and Zimmermann M G 2000 Phys. Rev.Lett. 85 5659 [19] Zheng B, Ren F, Trimper S and Zheng D F 2004 Physica A 343 653