Phase diagrams for an evolutionary prisoner's dilemma game on two-dimensional lattices

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

Volumn 72, Issue 4, 2005, Pages

  Szabó, György ^a   Vukov, Jeromos ^b   Szolnoki, Attila ^a  

^a RESEARCH INSTITUTE FOR TECHNICAL PHYSICS AND MATERIALS SCIENCE   (Hungary)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

CONNECTIVITY STRUCTURES; MEAN-FIELD APPROXIMATIONS; PHASE BOUNDARIES; TEMPTATION;

APPROXIMATION THEORY; COMPUTER INTEGRATED MANUFACTURING; CRYSTAL LATTICES; MONTE CARLO METHODS; PHASE TRANSITIONS; SPURIOUS SIGNAL NOISE;

PHASE DIAGRAMS;

EID: 28844437381     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.047107     Document Type: Article

References (33)

1. J. W. Weibull, Evolutionary Game Theory (MIT Press, Cambridge, MA, 1995).
2. H. Gintis, Game Theory Evolving (Princeton University Press, Princeton, 2000).
3. M. A. Nowak, R. M. May, and K. Sigmund, Sci. Am. SCAMAC 0036-8733 272, 50 (1995).
4. W. D. Hamilton, J. Theor. Biol. JTBIAP 0022-5193 7, 17 (1964).
5. R. Axelrod, The Evolution of Cooperation (Basic Books, New York, 1984).
6. C. Hauert, S. De Monte, J. Hofbauer, and K. Sigmund, Science SCIEAS 0036-8075 10.1126/science.1070582 296, 1129 (2002).
7. M. A. Nowak and R. M. May, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 3, 35 (1993).
8. M. A. Nowak, S. Bonhoeffer, and R. M. May, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1038/359826a0 4, 33 (1994).
9. J. Maynard Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, 1982).
10. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998).
11. G. Abramson and M. Kuperman, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.030901 63, 030901 (R) (2001).
12. H. Ebel and S. Bornholdt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.056118 66, 056118 (2002).
13. B. J. Kim, A Trusina, P. Holme, P. Minnhagen, J. S. Chung, and M. Y. Choi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.021907 66, 021907 (2002).
14. M. Masuda and K. Aihara, Phys. Lett. A PYLAAG 0375-9601 313, 55 (2003).
15. K. Lindgren and M. G. Nordahl, Physica D PDNPDT 0167-2789 10.1016/0167-2789(94)90289-5 75, 292 (1994).
16. M. Nakamaru, H. Matsuda, and Y. Iwasa, J. Theor. Biol. JTBIAP 0022-5193 10.1006/jtbi.1996.0243 184, 65 (1997).
17. C. Hauert and G. Szabó, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1848514 73, 405 (2005).
18. L. E. Blume, Games Econ. Behav. GEBEEF 0899-8256 10.1006/game.1993.1023 5, 387 (1993).
19. G. Szabó and C. Hauert, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.062903 66, 062903 (2002).
20. C. Hauert, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.2000.1424 268, 761 (2001).
21. F. Schweitzer, L. Behera, and H. Mühlenbein, Adv. Complex Syst. 0219-5259 5, 269 (2003).
22. G. Szabó, T. Antal, P. Szabó, and M. Droz, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.1095 62, 1095 (2000).
23. G. Szabó and C. Toke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.69 58, 69 (1998).
24. H. Hinrichsen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730050198152 49, 815 (2000).
25. R. Dickman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.38.2588 38, 2588 (1988).
26. G. Szabó, A. Szolnoki, and R. Izsák, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/7/006 37, 2599 (2004).
27. I. Derényi, G. Palla, and T. Vicsek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.160202 94, 160202 (2005).
28. G. Palla, I. Derényi, I. Farkas, and T. Vicsek, Nature (London) NATUAS 0028-0836 10.1038/nature03607 435, 814 (2005).
29. R. Albert and A. -L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002).
30. M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1103/RevModPhys.74.47 45, 167 (2003).
31. M. G. Zimmermann, V. M. Eguíluz, and M. San Miguel, in Economics and Heterogeneous Interacting Agents, edited by, J. B. Zimmermann, and, A. Kirman, (Springer Verlag, Berlin, 2001), pp. 73-86.
32. C. Biely, K. Dragosits, and S. Thurner, e-print physics/0504190.
33. H. Ebel and S. Bornholdt, e-print cond-mat/0211666.