Evolution of cooperation in a finite homogeneous graph

Nature

Volumn 447, Issue 7143, 2007, Pages 469-472

  Taylor, Peter D ^a   Day, Troy ^a   Wild, Geoff ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALLELE; EVOLUTION; FITNESS; HOMOGENEITY; POPULATION STRUCTURE; SELECTION;

ALLELE; ARTICLE; EVOLUTION; MATHEMATICAL COMPUTING; POPULATION REGULATION; POPULATION STRUCTURE; PRIORITY JOURNAL; THEORETICAL STUDY;

EID: 34249340864     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature05784     Document Type: Article

References (19)

1. Rousset, F. & Billiard, S. A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 13, 814-825 (2000).
2. Taylor, P. D., Irwin, A. J. & Day, T. Inclusive fitness in finite deme-structured and stepping-stone populations. Selection 1, 83-93 (2000).
3. Proulx, S. R. & Day, T. What can invasion analyses tell us about evolution under stochasticity? Selection 2, 1-16 (2001).
4. Nowak, M. A., Sasaki, A., Taylor, C. & Fudenberg, D. Emergence of cooperation and evolutionary stability in finite populations. Nature 428, 646-650 (2004).
5. Wild, G.&Taylor, P. D. Fitness and evolutionary stability in game theoretic models of finite populations. Proc. R. Soc. Lond. B 271, 2345-2349 (2004).
6. Lessard, S. Long-term stability from fixation probabilities in finite populations: new perspectives for ESS theory. Theor. Popul. Biol. 68, 19-27 (2005).
7. Orzack, S. H. & Hines, W. G. S. The evolution of strategy variation: will an ESS evolve? Evolution 59, 1183-1193 (2005).
8. Lieberman, E., Hauert, C. & Nowak, M. A. Evolutionary dynamics on graphs. Nature 433, 312-316 (2005).
9. Ohtsuki, H., Hauert, C., Lieberman, E. & Nowak, M. A. A simple rule for the evolution of cooperation on graphs. Nature 441, 502-505 (2006).
10. Ohtsuki, H. & Nowak, M. A. Evolutionary games on cycles. Proc. R. Soc. B 273, 2249-2256 (2006).
11. Moran, P. A. P. Statistical Processes of Evolutionary Theory (Oxford, Clarendon, 1962).
12. Hamilton, W. D. The genetical evolution of social behaviour, I and II. J. Theor. Biol. 7, 1-52 (1964).
13. Wilson, D. S., Pollock, G. B. & Dugatkin, L. A. Can altruism evolve in a purely viscous population? Evol. Ecol. 6, 331-341 (1992).
14. Taylor, P. D. Altruism in viscous populations - an inclusive fitness model. Evol. Ecol. 6, 352-356 (1992).
15. Taylor, P. D. Inclusive fitness in a homogeneous environment. Proc. R. Soc. Lond. B 249, 299-302 (1992).
16. Wright, S. Isolation by distance. Genetics 28, 114-138 (1943).
17. Michod, R. E.&Hamilton, W. D. Coefficients of relatedness in sociobiology. Nature 288, 694-697 (1980).
18. Frank, S. A. Kin selection and virulence in the evolution of protocells and parasites. Proc. R. Soc. Lond. B 258, 153-161 (1994).
19. Taylor, P. D. & Frank, S. How to make a kin selection argument. J. Theor. Biol. 180, 27-37 (1996).