Evolutionary games in wright's island model: Kin selection meets evolutionary game theory

Evolution

Volumn 64, Issue 12, 2010, Pages 3344-3353

  Ohtsuki, Hisashi ^a,b  

^a JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Coefficient of relatedness; Identity by descent; Inclusive fitness; Matrix game; Spatial structure

Indexed keywords

COEVOLUTION; EVOLUTIONARILY STABLE STRATEGY; FITNESS; GAME THEORY; ISLAND; KIN SELECTION; LIFE HISTORY TRAIT; RELATEDNESS; SPATIAL DISTRIBUTION;

ARTICLE; BIOLOGICAL MODEL; EVOLUTION; GAME; GENETIC SELECTION; POPULATION DYNAMICS; REPRODUCTIVE FITNESS;

BIOLOGICAL EVOLUTION; GAME THEORY; GENETIC FITNESS; MODELS, GENETIC; POPULATION DYNAMICS; SELECTION, GENETIC;

EID: 78649984975     PISSN: 00143820     EISSN: 15585646     Source Type: Journal    
DOI: 10.1111/j.1558-5646.2010.01117.x     Document Type: Article

References (62)

1. Ajar, E. 2003. Analysis of disruptive selection in subdivided populations. BMC Evol. Biol. 3:22.
2. Axelrod, R. 1984. The evolution of cooperation. Basic Books, New York .
3. Axelrod, R., and W. D. Hamilton 1981. The evolution of cooperation. Science 211:1390-1396.
4. Boomsma, J. J., and A. Grafen 1991. Colony-level sex ratio selection in the eusocial Hymenoptera. J. Evol. Biol. 44:383-407.
5. Brandt, H., and K. Sigmund 2006. The good, the bad and the discriminator- errors in direct and indirect reciprocity. J. Theor. Biol. 239:183-194.
6. Fletcher, J. A., and M. Doebeli 2006. How altruism evolves: assortment and synergy. J. Evol. Biol. 19:1389-1393.
7. Fletcher, J. A., and M. Zwick 2006. Unifying the theories of inclusive fitness and reciprocal altruism. Am. Nat. 168:252-262.
8. Frank, S. A. 1998. Foundations of social evolution. Princeton Univ. Press, Princeton, NJ .
9. Gardner, A., and S. A. West 2010. Greenbeards. Evolution 64:25-38.
10. Gardner, A., S. A. West, and N. Barton 2007. The relation between multilocus population genetics and social evolution. Am. Nat. 169:207-226.
11. Grafen, A. 1984. Natural selection, kin selection and group selection. Pp. 62-84 in Krebs, J. R. and N. B. Davies, eds. Behavioural ecology: an evolutionary approach. Blackwell Scientific Publications, Oxford .
12. Grafen, A. 2006. Optimization of inclusive fitness. J. Theor. Biol. 238:541-563.
13. Hamilton, W. D. 1964. The genetical evolution of social behaviour, I & II. J. Theor. Biol. 7:1-52.
14. Hamilton, W. D. 1967. Extraordinary sex ratios. Science 156:477-488.
15. Harsanyi, J. C., and R. Selten 1988. A general theory of equilibrium selection in games. MIT Press, Cambridge .
16. Hofbauer, J., and K. Sigmund 1998. Evolutionary games and population dynamics. Cambridge Univ. Press, Cambridge, U.K.
17. Hofbauer, J., and K. Sigmund 2003. Evolutionary game dynamics. B. Am. Math. Soc. 40:479-519.
18. Irwin, A. J., and P. D. Taylor 2001. Evolution of altruism in steppingstone populations with overlapping generations. Theor. Popul. Biol. 60:315-325.
19. Kirkpatrick, M., T. Johnson, and N. Barton 2002. General models of multilocus evolution. Genetics 161:1727-1750.
20. Ladret, V., and S. Lessard 2007. Fixation probability for a beneficial allele and a mutant strategy in a linear game under weak selection in a finite island model. Theor. Popul. Biol. 72:409-425.
21. Lehmann, L., and L. Keller 2006a. The evolution of cooperation and altruism. A general framework and classification of models. J. Evol. Biol. 19:1365-1378.
22. Lehmann, L., and L. Keller 2006b. Synergy, partner choice and frequency dependence: their integration into inclusive fitness theory and their interpretation in terms of direct and indirect fitness effects. J. Evol. Biol. 19:1426-1436.
23. Lehmann, L., L. Keller, S. A. West, and D. Roze 2007a. Group selection and kin selection: two concepts but one process. Proc. Natl. Acad. Sci. USA 104:6736-6739.
24. Lehmann, L., F. Rousset, D. Roze, and L. Keller 2007b. Strong-reciprocity or strong-ferocity? A population genetic view of the evolution of altruistic punishment. Am. Nat. 170:21-36.
25. Lehmann, L., M. W. Feldman, and F. Rousset 2009. On the evolution of harming and recognition in finite panmictic and infinite structured populations. Evolution 63, 2896-2913.
26. Maynard Smith, J. 1982. Evolution and the theory of games. Cambridge Univ. Press, Cambridge, U.K.
27. Maynard Smith, J., and G. R. Price 1973. The logic of animal conflict. Nature 246:15-18.
28. Nowak, M. A. 2006. Evolutionary dynamics. Harvard Univ. Press, Cambridge, MA .
29. Nowak, M. A., and R. M. May 1992. Evolutionary games and spatial chaos. Nature 359:826-829.
30. Nowak, M. A., and K. Sigmund 1990. The evolution of stochastic strategies in the Prisoner's dilemma. Acta Appl. Math. 20:247-265.
31. Nowak, M. A., C. E. Tarnita, and T. Antal 2010. Evolutionary dynamics in structured populations. Phil. Trans. R. Soc. B 365:19-30.
32. Ohtsuki, H., C. Hauert, E. Lieberman, and M. A. Nowak 2006. A simple rule for the evolution of cooperation on graphs and social networks. Nature 441:502-505.
33. Price, G. R. 1970. Selection and covariance. Nature 227:520-521.
34. Price, G. R. 1972. Extension of covariance selection mathematics. Ann. Hum. Genet. 35:485-490.
35. Queller, D. C. 1984. Kin selection and frequency-dependence-a game theoretic approach. Biol. J. Linn. Soc. 23:133-143.
36. Queller, D. C. 1985. Kinship, reciprocity and synergism in the evolution of social behavior. Nature 318:366-367.
37. Queller, D. C. 1992. Quantitative genetics, inclusive fitness, and group selection. Am. Nat. 139:540-558.
38. Reuter, M., L. Lehmann, and F. Guillaume 2008. The spread of incompatibility-inducing parasites in sub-divided host populations. BMC Evol. Biol. 8:134.
39. Rousset, F. 2004. Genetic structure and selection in subdivided populations. Princeton Univ. Press, Princeton, NJ\J .
40. Rousset, F., and D. Roze 2007. Constraints on the origin and maintenance of genetic kin recognition. Evolution 61:2320-2330.
41. Roze, D., and F. Rousset 2003. Selection and drift in subdivided populations: a straightforward method for deriving diffusion approximations and applications involving dominance, selfing and local extinctions. Genetics 165:2153-2166.
42. Roze, D., and F. Rousset 2004. The robustness of Hamilton's rule with inbreeding and dominance: kin selection and fixation probabilities under partial sib mating. Am. Nat. 164:214-231.
43. Roze, D., and F. Rousset 2005. Inbreeding depression and the evolution of dispersal rates: a multilocus model. Am. Nat. 166:708-721.
44. Roze, D., and F. Rousset 2008. Multilocus models in the infinite island model of population structure. Theor. Popl. Biol. 73:529-542.
45. Roze, D., and F. Rousset 2009. Strong effects of heterosis on the evolution of dispersal rates. J. Evol. Biol. 22:1221-1233.
46. Szabø, G., and G. Fáth 2007. Evolutionary games on graphs. Phys. Rep. 446:97-216.
47. Taylor, P. D. 1992. Altruism in viscous populations-an inclusive fitness model. Evol. Ecol. 6:352-356.
48. Taylor, P. D. 1996. Inclusive fitness arguments in genetic models of behaviour. J. Math. Biol. 34:654-674.
49. Taylor, P. D., and S. A. Frank 1996. How to make a kin selection model. J. Theor. Biol. 180:27-37.
50. Taylor, P. D., and A. J. Irwin 2000. Overlapping generations can promote altruistic behavior. Evolution 54:1135-1141.
51. Taylor, P. D., and L. B. Jonker 1978. Evolutionary stable strategies and game dynamics. Math. Biosci. 40:145-156.
52. Taylor, C., and M. A. Nowak 2007. Transforming the dilemma. Evolution 61:2281-2292.
53. Traulsen, A. 2010. Mathematics of kin- and group-selection: formally equivalent? Evolution 64:316-323.
54. Van Veelen, M. 2009. Group selection, kin selection, altruism and cooperation: when inclusive fitness is right and when it can be wrong. J. Theor. Biol. 259:589-600.
55. Wakeley, J. 2008. Coalescent theory: an introduction. Roberts & Company Publishers, Greenwood Village, Colorado .
56. Weibull, J. 1995. Evolutionary game theory. MIT Press, Cambridge .
57. Wenseleers, T. 2006. Modelling social evolution: the relative merits and limitations of a Hamilton's rule-based approach. J. Evol. Biol. 19:1419-1422.
58. West, S. A. 2009. Sex allocation. Princeton Univ. Press, Princeton, NJ .
59. West, S. A., A. S. Griffin, and A. Gardner 2007a. Evolutionary explanations for cooperation. Curr. Biol. 17:R661-R672.
60. West, S. A., A. S. Griffin, and A. Gardner 2007b. Social semantics: altruism, cooperation, mutualism, strong reciprocity and group selection. J. Evol. Biol. 20:415-432.
61. Whitlock, M. C. 2002. Selection, load and inbreeding depression in a large metapopulation. Genetics 160:1191-1202.
62. Wright, S. 1931. Evolution in Mendelian populations. Genetics 16:97-159.