Phase transitions and volunteering in spatial public goods games

Physical Review Letters

Volumn 89, Issue 11, 2002, Pages

  Szabó, György ^a   Hauert, Christoph ^b,c  

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

^b UNIVERSITY OF VIENNA   (Austria)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MONTE CARLO METHODS; PROBABILITY;

ISING TYPE MODELS; SPATIAL PUBLIC GOOD GAMES;

GAME THEORY;

EID: 45849156108     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. J. von Neumann, and O. Morgenstern, Theory of Games and Economic Behaviour (Princeton University Press, Princeton, 1994).
2. J. Maynard Smith and E. Szathmáry;, The Major Transitions in Evolution (W. H. Freeman & Co., Oxford, 1995).
3. R. Axelrod and W. D. Hamilton, Science 211, 1390 (1981).
4. The Handbook of Experimental Economics, edited by J. H. Kagel and A. E. roth (Princeton University Press, Princeton, 1995).
5. E. Fehr and S. Gächter, Nature (London) 415, 137 (2002).
6. L. A. Dugatkin, Cooperation among Animals: An Evolutionary Perspective (Oxford University Press, Oxford, 1997).
7. A. M. Colman, Game Theory and Its Applications in the Social and Biological Sciences (Butterworth-Heinemann, Oxford, 1995).
8. K. G. Binmore, Playing Fair: Game Theory and the Social Contract (MIT Press, Cambridge, 1994).
9. C. Hauert, S. De Monte, J. Hofbauer, and K. Sigmund, Science 296, 1129 (2002).
10. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998).
11. C. Hauert, S. De Monte, J. Hofbauer, and K. Sigmund, J. Theor. Biol. (to be published).
12. G. Szabó, and C. Töke, Phys. Rev. E 58, 69 (1998).
13. G. Szabó, T. Antal, P. Szabó, and M. Droz, Phys. Rev. E 62, 1095 (2000).
14. M. A. Nowak, S. Bonhoeffer, and R. M. May. Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 33 (1994).
15. M. A. Nowak and R. M. May, Nature (London) 359, 826 (1992).
16. C. Hauert, Int. J. Bifurcation Chaos Appl. Sci. Eng. (to be published).
17. J. Cardy and U. Täuber, J. Stat. Phys. 90, 1 (1998).
18. J. R. N. Chiappin, and M. J. de Oliveira, Phys. Rev. E 59, 6419 (1999).
19. H. K. Janssen, Z. Phys. B 42, 151 (1981)
20. P. Grassberger, Z. Phys. B 47, 365 (1982)
21. R. C. Brower, M. A. Furman, and M. Moshe, Phys. Lett. B 76B, 213 (1978);
22. I. Jensen, H.C Fogedby, and R. Dickman, Phys. Rev. A 41, 3411 (1990).
23. J. Marro and R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999).
24. H. Hinrichsen, Adv. Phys. 49, 815 (2000).
25. H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Clarendon Press, Oxford, 1971).