The evolution of cooperation in spatially heterogeneous populations

American Naturalist

Volumn 147, Issue 5, 1996, Pages 692-717

  Ferriere, Regis ^a   Michod, Richard E ^a  

^a The University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COOPERATION; ITERATED PRISONER'S DILEMMA; PRISONER'S DILEMMA; TIT-FOR-TAT;

EID: 0030470125     PISSN: 00030147     EISSN: None     Source Type: Journal    
DOI: 10.1086/285875     Document Type: Article

References (28)

1. Axelrod, R. 1980. Effective choices in the Prisoner's Dilemma. Journal of Conflict Resolution 24: 3-25.
2. _. 1981. The emergence of cooperation among egoists. American Political Science Review 75: 306-318.
3. Axelrod, R., and W. D. Hamilton. 1981. The evolution of cooperation. Science (Washington, D.C.) 211:1290-1296.
4. Boyd, R., and J. Lorberbaum. 1987. No pure strategy is evolutionarily stable in the repeated Prisoner's Dilemma game. Nature (London) 327:58-59.
5. Brown, J. S., M. J. Sanderson, and R. E. Michod. 1982. Evolution of social behavior by reciprocation. Journal of Theoretical Biology 99:319-339.
6. Chung, K. L. 1979. Elementary probability theory with stochastic processes. Springer, New York.
7. Crank, J. 1975. The mathematics of diffusion. Clarendon, Oxford.
8. Dugatkin, L. A., and D. S. Wilson. 1991. ROVER: a strategy for exploiting cooperators in a patchy environment. American Naturalist 138:687-701.
9. Enquist, M., and O. Leimar. 1993. The evolution of cooperation in mobile organisms. Animal Behaviour 45:747-757.
10. Eshel, I., and L. L. Cavalli-Sforza. 1982. Assortment of encounters and the evolution of cooperativeness. Proceedings of the National Academy of Sciences of the USA 79:1331-1335.
11. Feldman, M. W., and E. A. C. Thomas. 1987. Behavior-dependent contexts for repeated plays of the Prisoner's Dilemma. II. Dynamical aspects of the evolution of cooperation. Journal of Theoretical Biology 128:297-315.
12. Fernere, R., and R. E. Michod. 1995. Invading wave of cooperation in a spatial iterated Prisoner's Dilemma. Proceedings of the Royal Society of London B, Biological Sciences 259:77-83.
13. Fife, P. C. 1979. Mathematical aspects of reacting and diffusing systems. Lecture notes in biomathematics. Vol. 28. Springer, Berlin.
14. Fisher, R. A. 1930. The genetical theory of natural selection. Clarendon, Oxford.
15. Hamilton, W. D. 1964. The genetical evolution of social behaviour. Journal of Theoretical Biology 7:1-52.
16. Houston, A. I. 1993. Mobility limits cooperation. Trends in Ecology & Evolution 8:194-196.
17. Hutson, V. C. L., and G. T. Vickers. 1992. Travelling waves and the dominance of ESS's. Journal of Mathematical Biology 30:457-471.
18. _. 1995. The spatial struggle of tit-for-tat and defect. Philosophical Transactions of the Royal Society of London B, Biological Sciences 348:393-404.
19. Michod, R. E., and W. D. Hamilton. 1980. Coefficient of relatedness in sociobiology. Nature (London) 288:694-697.
20. Nowak, M. A. 1990. Stochastic strategies in the Prisoner's Dilemma. Theoretical Population Biology 38:93-112.
21. Nowak, M. A., and R. M. May. 1992. Evolutionary games and spatial chaos. Nature (London) 359: 826-829.
22. _. 1993. The spatial dilemmas of evolution. International Journal of Bifurcations and Chaos 3: 35-78.
23. Nowak, M. A., and K. Sigmund. 1992. Tit for tat in heterogeneous populations. Nature (London) 355:250-253.
24. _. 1993. A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner's Dilemma game. Nature (London) 364:56-58.
25. Taylor, P. D., and L. B. Jonker. 1978. Evolutionarily stable strategies and game dynamics. Mathematical Biosciences 40:145-156.
26. Vickers, G. T. 1989. Spatial patterns and ESS's. Journal of Theoretical Biology 140:129-135.
27. Vickers, G. T., V. C. L. Hutson, and C. J. Budd. 1993. Spatial patterns in population conflicts. Journal of Mathematical Biology 31:411-430.
28. Wilson, D. S., G. B. Pollock, and L. A. Dugatkin. 1992. Can altruism evolve in purely viscous populations? Evolutionary Ecology 6:331-341.