Evolutionary prisoner's dilemma game on hierarchical lattices

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

Volumn 71, Issue 3, 2005, Pages

  Vukov, Jeromos ^a   Szabó, György ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

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

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTIONARY GAMES; HIERARCHICAL LATTICES; MATRIX GAMES; SMALL-WORLD NETWORKS;

AUTOMATION; COMPUTER SIMULATION; ITERATIVE METHODS; LATTICE CONSTANTS; MATRIX ALGEBRA; MONTE CARLO METHODS; PROBABILITY;

GAME THEORY;

EID: 37649030032     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036133     Document Type: Article

References (21)

1. J. Maynard Smith, Evolution and the Theory of Games (Cambridge University Press, Cambridge, U.K., 1982).
2. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, U.K., 1998).
3. J. W. Weibull, Evolutionary Game Theory (MIT Press, Cambridge, MA, 1995).
4. W. D. Hamilton, Am. Nat. 97, 354 (1963).
5. R. Axelrod, The Evolution of Cooperation (Basic Books, New York, 1984).
6. M. A. Nowak and R. M. May, Int. J. Bifurcation Chaos Appl. Sci. Eng. 3, 35 (1993).
7. L. E. Blume, Games Econ. Behav. 5, 387 (1993).
8. M. A. Nowak, S. Bonhoeffer, and R. M. May, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 33 (1994).
9. G. Szabó and C. Töke, Phys. Rev. E 58, 69 (1998).
10. M. H. Vainstein and J. J. Arenzon, Phys. Rev. E 64, 051905 (2001).
11. F. Schweitzer, L. Behera, and H. Mühlenbein, Adv. Complex Syst. 5, 269 (2002).
12. M. Nakamaru, H. Matsuda, and Y. Iwasa, J. Theor. Biol. 184, 65 (1997).
13. C. Hauert, S. De Monte, J. Hofbauer, and K. Sigmund, J. Theor. Biol. 218, 187 (2002).
14. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
15. G. Abramson and M. Kuperman, Phys. Rev. E 63, 030901 (2001).
16. B. J. Kim, A. Trusina, P. Holme, P. Minnhagen, J. S. Chung, and M. Y. Choi, Phys. Rev. E 66, 021907 (2002).
17. H. Ebel and S. Bornholdt, Phys. Rev. E 66, 056118 (2002).
18. G. Szabó and J. Vukov, Phys. Rev. E 69, 036107 (2004).
19. E. Ravasz and A.-L. Barabási, Phys. Rev. E 67, 026112 (2003).
20. B. Bollobás, Modern Graph Theory (Springer, New York, 1998).
21. H. Hinrichsen, Adv. Phys. 49, 815 (2000).