Cooperation enhanced by moderate tolerance ranges in myopically selective interactions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 4, 2009, Pages

  Chen, Xiaojie ^a,b   Wang, Long ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTION OF COOPERATION; EVOLUTIONARY DYNAMICS; GROUP SELECTION; MODERATE VALUE; PRISONER'S DILEMMA GAME; SCALE FREE NETWORKS; SELECTION CRITERIA; SELECTIVE INTERACTION; STRUCTURED POPULATION; TOLERANCE RANGE; WEIGHTING FACTORS;

EID: 70350234743     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.046109     Document Type: Article

References (49)

1. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, UK, 1998).
2. M. Doebeli and C. Hauert, Ecol. Lett. 8, 748 (2005). 10.1111/j.1461-0248. 2005.00773.x
3. M. A. Nowak and R. M. May, Nature (London) 359, 826 (1992). 10.1038/359826a0
4. G. Szabó and G. Fáth, Phys. Rep. 446, 97 (2007). 10.1016/j.physrep.2007.04.004
5. F. C. Santos and J. M. Pacheco, Phys. Rev. Lett. 95, 098104 (2005). 10.1103/PhysRevLett.95.098104
6. F. C. Santos, J. M. Pacheco, and T. Lenaerts, Proc. Natl. Acad. Sci. U.S.A. 103, 3490 (2006). 10.1073/pnas.0508201103
7. F. C. Santos, J. F. Rodrigues, and J. M. Pacheco, Proc. R. Soc. London 273, 51 (2006). 10.1098/rspb.2005.3272
8. F. C. Santos and J. M. Pacheco, J. Evol. Biol. 19, 726 (2006). 10.1111/j.1420-9101.2005.01063.x
9. J. Gómez-Gardeñes, M. Campillo, L. M. Floría, and Y. Moreno, Phys. Rev. Lett. 98, 108103 (2007). 10.1103/PhysRevLett.98.108103
10. M. Perc, New J. Phys. 11, 033027 (2009). 10.1088/1367-2630/11/3/033027
11. G. Szabó and C. Toke, Phys. Rev. E 58, 69 (1998). 10.1103/PhysRevE.58.69
12. G. Szabó, J. Vukov, and A. Szolnoki, Phys. Rev. E 72, 047107 (2005). 10.1103/PhysRevE.72.047107
13. M. Perc, New J. Phys. 8, 22 (2006). 10.1088/1367-2630/8/2/022
14. A. Szolnoki and G. Szabó, EPL 77, 30004 (2007). 10.1209/0295-5075/77/30004
15. A. Szolnoki and M. Perc, New J. Phys. 10, 043036 (2008). 10.1088/1367-2630/10/4/043036
16. Z.-X. Wu, X.-J. Xu, Z.-G. Huang, S.-J. Wang, and Y.-H. Wang, Phys. Rev. E 74, 021107 (2006). 10.1103/PhysRevE.74.021107
17. C. P. Roca, J. A. Cuesta, and A. Sánchez, EPL 87, 48005 (2009). 10.1209/0295-5075/87/48005
18. L. G. Moyano and A. Sánchez, J. Theor. Biol. 259, 84 (2009). 10.1016/j.jtbi.2009.03.002
19. H. Ohtsuki, M. A. Nowak, and J. M. Pacheco, Phys. Rev. Lett. 98, 108106 (2007). 10.1103/PhysRevLett.98.108106
20. H. Ohtsuki, J. M. Pacheco, and M. A. Nowak, J. Theor. Biol. 246, 681 (2007). 10.1016/j.jtbi.2007.01.024
21. Z.-X. Wu and Y.-H. Wang, Phys. Rev. E 75, 041114 (2007). 10.1103/PhysRevE.75.041114
22. M. H. Vainstein, A. T. C. Silva, and J. J. Arenzon, J. Theor. Biol. 244, 722 (2007). 10.1016/j.jtbi.2006.09.012
23. M. Droz, J. Szwabiński, and G. Szabó, Eur. Phys. J. B (to be published).
24. E. A. Sicardi, H. Fort, M. H. Vainstein, and J. J. Arenzon, J. Theor. Biol. 256, 240 (2009). 10.1016/j.jtbi.2008.09.022
25. D. Helbing and W.-J. Yu, Proc. Natl. Acad. Sci. U.S.A. 106, 3680 (2009). 10.1073/pnas.0811503106
26. D. Helbing, Eur. Phys. J. B 67, 345 (2009). 10.1140/epjb/e2009-00025-7
27. S. Meloni, A. Buscarino, L. Fortuna, M. Frasca, J. Gómez- Gardeñes, V. Latora, and Y. Moreno, Phys. Rev. E 79, 067101 (2009). 10.1103/PhysRevE.79.067101
28. M. Perc and A. Szolnoki, Phys. Rev. E 77, 011904 (2008). 10.1103/PhysRevE.77.011904
29. F. C. Santos, M. D. Santos, and J. M. Pacheco, Nature (London) 454, 213 (2008). 10.1038/nature06940
30. A. Szolnoki, M. Perc, and G. Szabó, Eur. Phys. J. B 61, 505 (2008). 10.1140/epjb/e2008-00099-7
31. A. Traulsen, M. A. Nowak, and J. M. Pacheco, J. Theor. Biol. 244, 349 (2007). 10.1016/j.jtbi.2006.08.008
32. X.-J. Chen, F. Fu, and L. Wang, Phys. Rev. E 78, 051120 (2008). 10.1103/PhysRevE.78.051120
33. M. Zhang and J.-Z. Yang, Phys. Rev. E 79, 011121 (2009). 10.1103/PhysRevE.79.011121
34. B. Woelfing and A. Traulsen, J. Theor. Biol. 257, 689 (2009). 10.1016/j.jtbi.2008.12.025
35. F. Fu, C. Hauert, M. A. Nowak, and L. Wang, Phys. Rev. E 78, 026117 (2008). 10.1103/PhysRevE.78.026117
36. J. L. Sullivan and J. E. Transue, Annu. Rev. Psychol. 50, 625 (1999). 10.1146/annurev.psych.50.1.625
37. M. A. Nowak and K. Sigmund, Nature (London) 393, 573 (1998). 10.1038/31225
38. M. A. Nowak and K. Sigmund, Nature (London) 437, 1291 (2005). 10.1038/nature04131
39. M. A. Nowak, Science 314, 1560 (2006). 10.1126/science.1133755
40. A. L. Barabási and R. Albert, Science 286, 509 (1999). 10.1126/science.286.5439.509
41. C. Hauert and G. Szabó, Am. J. Phys. 73, 405 (2005). 10.1119/1.1848514
42. P. Langer, M. A. Nowak, and C. Hauert, J. Theor. Biol. 250, 634 (2008). 10.1016/j.jtbi.2007.11.002
43. C. Hauert and M. Doebeli, Nature (London) 428, 643 (2004). 10.1038/nature02360
44. We have checked that averaging over larger periods or using different transient times does not change the results. Moreover, it is worth mentioning that for some sets of parameters, the system has reached an absorbing state (full cooperation or full defection) after this transient time in this model.
45. A. Szolnoki, M. Perc, and Z. Danku, Physica A 387, 2075 (2008).
46. A. Szolnoki and M. Perc, EPL 86, 30007 (2009). 10.1209/0295-5075/86/30007
47. N. Masuda, Proc. R. Soc. London 274, 1815 (2007). 10.1098/rspb.2007.0294
48. M. Tomassini, E. Pestelacci, and L. Luthi, Int. J. Mod. Phys. C 18, 1173 (2007). 10.1142/S0129183107011212
49. Z.-X. Wu, J.-Y. Guan, X.-J. Xu, and Y.-H. Wang, Physica A 379, 672 (2007). 10.1016/j.physa.2007.02.085