Heterogeneity Improves Cooperation in Continuous Snowdrift Game
ZHONG Li-Xin1, QIU Tian2, XU Jiang-Rong1
1School of Journalism, Hangzhou Dianzi University, Hangzhou 3100182School of Electronic and Information Engineering, Nanchang Hangkong University, Nanchang 330063
Heterogeneity Improves Cooperation in Continuous Snowdrift Game
ZHONG Li-Xin1;QIU Tian2;XU Jiang-Rong1
1School of Journalism, Hangzhou Dianzi University, Hangzhou 3100182School of Electronic and Information Engineering, Nanchang Hangkong University, Nanchang 330063
摘要We study the networking effects on the population divergence and the increased level of cooperation in the continuous snowdrift game (CSG). In the regular world, limited interaction inhibits the occurrence of evolutionary branching. The formation of clusters defends the intermediate-investors from intruding by high- or low-investors. In a rewired network, the collective behaviour is related to the rewiring rules. A linear relationship I=a\σa +b between the average investment and the standard deviation of the degree distribution is found.
Abstract:We study the networking effects on the population divergence and the increased level of cooperation in the continuous snowdrift game (CSG). In the regular world, limited interaction inhibits the occurrence of evolutionary branching. The formation of clusters defends the intermediate-investors from intruding by high- or low-investors. In a rewired network, the collective behaviour is related to the rewiring rules. A linear relationship I=a\σa +b between the average investment and the standard deviation of the degree distribution is found.
[1] Greig D and Travisano M 2004 Biol. Lett. 217S25 [2] Turner P E and Chao L 2003 American Naturalist 161 497 [3] Nowak M A 2006 Science 314 1560 [4] Ohtsuki H et al 2006 Nature 441 502 [5] Nowak M A and Sigmund K 2004 Science 303 793 [6] Nowak M A et al 2004 Nature 428 646 [7] Lieberman E et al 2005 Nature 433 312 [8] Hauert C and Doebeli M 2004 Nature 428 643 [9] Zhong L X et al 2006 Europhys. Lett. 76 724 [10] Wang W X et al 2006 Phys. Rev. E 74 056113 [11] Zheng D F et al 2007 Europhys. Lett. 8018002 [12] Shang L H et al 2006 Eur. Phys. J. B 54 369 [13] Doebeli M et al 2004 Science 306 859 [14] Day T 2001 Genetica 112-113 71 [15] Lee S H and Jeong H 2006 Phy. Rev. E 74026118 [16] Ren F et al 2006 Phys. Rev. E 74 041111 [17] Xu C, Hui P M and Zheng D F 2007 Physica A 385 773 [18] Liu Z H and Hu B B 2005 Europhys. Lett. 72315 [19] Watts J and Strogatz S H 1998 Nature 393 440 [20] Hauert C and Szabo G 2005 Am. J. Phys. 73 405