Cooperative dynamics in lattice-embedded scale-free networks

Communications in Theoretical Physics

Volumn 52, Issue 3, 2009, Pages 411-415

  Shang, Li Hui ^a   Zhang, Ming Ji ^a   Yang, Yan Qing ^a  

^a UNIVERSITY OF SHANGHAI FOR SCIENCE AND TECHNOLOGY   (China)

Author keywords

Cooperation; Geographical networks; Heterogeneity; Prisoners dilemma

Indexed keywords

EID: 70350247315     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/52/3/06     Document Type: Article

References (30)

1. Maynard Smith J and E Szathmry 1995 The Major Transitions in Evolution (W.H. Freeman, Oxford)
2. Hofbauer J and K Sigmund 1998 Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge UK)
3. Cressman R 2003 Evolutionary Dynamics and Extensive Form Games (MIT Press, Cambridge)
4. Axelrod R 1984 The Evolution of Cooperation (Basic Books, New York)
5. Nowak M A and R May 1992 Nature (London) 359 826
6. Szabó G and C Toke 1998 Phys. Rev. E 58 69
7. Szabó G, J Vukov and A Szolnoki 2005 Phys. Rev. E 72 047107
8. Guan J Y, Z X Wu, Z G Huang, X J Xu and Y H Wang 2006 Europhys. Lett. 76 1214
9. Wang W X, J Ren, G Chen and B H Wang 2006 Phys. Rev. E 74 056113
10. Vukov J, G Szabó and A Szolnoki 2006 Phys. Rev. E 73 067103
11. Wu Z X, X J Xu, Z G Huang, S J Wang and Y H Wang 2006 Phys. Rev. E 74 021107
12. Abramson G and M Kuperman 2001 Phys. Rev. E 63 030901
13. Hauert C and G Szabó 2005 Am. J. Phys. 73 405
14. Santos F C, J F Rodrigues and J M Pacheco 2005 Phys. Rev. E 72 056128
15. Tang C L, W X Wang, X Wu and B H Wang 2006 Eur. Phys. J. B 53 411
16. Ren J, W X Wang and F Qi 2007 Phys. Rev. E 75 045101(R)
17. Vukov J, G Szabó and A Szolnoki 2008 Phys. Rev. E 77 026109
18. Santos F C and J M Pacheco 2005 Phys. Rev. Lett. 95 098104
19. Santos F C, J M Pacheco and T Lenaerts 2006 Proc. Natl. Acad. Sci. USA 103 3490
20. Gomez-Gardenes J, M Campillo, L M Floria and Y Moreno 2007 Phys. Rev. Lett. 98 108103
21. Rong Z H, X Li and X F Wang 2007 Phys. Rev. E 76 027101
22. Pusch A, S Weber and M Porto 2008 Phys. Rev. E 77 036120
23. Assenza S, J Gomez-Gardenes and V Latora 2008 Phys. Rev. E 78 017101
24. Gastner M T and M E J Newman 2006 Eur. Phys. J. B 49 247
25. Latora V and M Marchiori 2005 Phys. Rev. E 71 015103
26. Boccaletti S, V Latora, Y Moreno, M Chavez and D U Hwang 2006 Phys. Rep. 424 175
27. Shang L H, X Li and X F Wang 2006 Eur. Phys. J. B 54 369
28. Rozenfeld A F, R Cohen, D ben-Avraham and S Havlin 2002 Phys. Rev. Lett. 89 218701
29. Xu X J, Z X Wu and G Chen 2007 Physica A 377 125
30. Strictly speaking, following this method, scale-free networks with γ < 2 cannot be successfully embedded on a square lattice (for details see Ref. 28), because the resulting networks do not possess a good power-law form of degree distribution