| Articles |
|
|
|
|
Role of Clustering Coefficient on Cooperation Dynamics in Homogeneous Networks |
| WU Gang; GAO Kun;YANG Han-Xin;WANG Bing-Hong |
| Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026 |
|
| Cite this article: |
|
WU Gang, GAO Kun, YANG Han-Xin et al 2008 Chin. Phys. Lett. 25 2307-2310 |
|
|
|
Abstract Based on previous works, we give further investigations on the Prisoners' Dilemma Game (PDG) on two different types of homogeneous networks, i.e.~the homogeneous small-world network (HSWN) and the regular ring graph. We find that the so-called resonance-like character can occur on both the networks. Different from the viewpoint in previous publications, we think the small-world effect may be unnecessary to produce this character. Therefore, over these two types of networks, we suggest a common understanding in the viewpoint of clustering coefficient. Detailed simulation results can sustain our viewpoint quite well. Furthermore, we investigate the Snowdrift Game (SG) on the same networks. The difference between the outputs of the PDG and the SG can also sustain our viewpoint.
|
| Keywords:
89.75.Hc
89.75.Fb
05.65.+b
|
|
|
Received: 16 January 2008
Published: 31 May 2008
|
|
| PACS: |
89.75.Hc
|
(Networks and genealogical trees)
|
| |
89.75.Fb
|
(Structures and organization in complex systems)
|
| |
05.65.+b
|
(Self-organized systems)
|
|
|
|
|
|
[1] Smith J M and Szathm\'{ary E 1995 The MajorTransitions in Evolution (Oxford: Freeman)
[2] Neumann J and Morgenstern O 1994 Theory of Games andEconomic Behavior (Princeton: Princeton University Press)
[3] Smith J M and Price G 1973 Nature 246 15
[4] Chen Y S, Lin H and Wu C X 2007 Physica A 385 379
[5] Wu Z X and Wang Y H 2007 Phys. Rev. E 75 041114
[6] Wang W X, Ren J, Chen G R and Wang B H 2006 Phys. Rev. E 74 056113
[7] Wu Z X, Xu X J, Chen Y and Wang Y H 2005 Phys. Rev. E 71 037103
[8] Axelrod R and Hamilton W D 1981 Science 211 1390
[9] Sugden R 1986 The Economics of Rights, Cooperation andWelfare (Oxford: Blackwell)
[10] Gintis H 2000 Game Theory Evolving (Princeton, NJ:Princeton University Press)
[11] Milinsky H et al 1997 Proc. R. Soc. London B 264 831
[12] Turner P E and Chao L 1999 Nature 398 441
[13] Heinsohn R and Parker C 1995 Science 269 1260
[14] Brock T C 2002 Science 296 69
[15] Nowak M A and May R M 1992 Nature 359 826
[16] Santos F C and Pacheco J M 2005 Phys. Rev. Lett. 95 098104
[17] Santos F C, Rodrigues J F and Pacheco J M 2006 Proc. R.Soc. London B 273 51
[18] Hauert C and Doebeli M 2004 Nature 428 643
[19] Santos F C, Pacheco J M and Lenaerts T 2006 Proc. Natl.Acad. Sci. U.S.A. 103 3490
[20] Ohtsuki H, Hauert C, Lieberman E and Nowak M A 2006 Nature 441 502
[21] Abramson G and Kuperman M 2001 Phys. Rev. E 63030901(R)
[22] Holme P, Trusina A, Kim B J and Minnhagen P 2003 Phys.Rev. E 68 030901(R)
[23] Eguiluz V M et al 2005 Am. J. Sociol. 110 977
[24] Szab\'{o G and Fath G 2007 Phys. Rep. 446 97
[25] Tang C L, Wang W X, Wu X and Wang B H 2006 Eur. Phys.J. B 53 411
[26] Santos F C, Rodrigues J F and Pacheco J M 2005 Phys.Rev. E 72 056128
[27] Ren J, Wang W X and Qi F 2007 Phys. Rev. E 75045101(R)
[28] Taylor P D and Day T 2004 Nature 428 611
[29] Szab\'{o G and T\"{oke C 1998 Phys. Rev. E 58 69
[30] Wang X F 2002 Int. J. Bifur. Chaos 12 885
[31] Newman M E J 2003 SIAM Review 45 167 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
