Inclusive and personal fitness in synergistic evolutionary games on graphs

Journal of Theoretical Biology

Volumn 325, Issue , 2013, Pages 76-82

  Taylor, Peter ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

Allele frequency; Non additive games; Price equation; Relatedness; Transitivity

Indexed keywords

ALLELE; EQUATION; EVOLUTIONARY THEORY; GAME THEORY; INCLUSIVE FITNESS; RELATEDNESS;

ALLELE; ARTICLE; CONSANGUINITY; COVARIANCE; FINITE ELEMENT ANALYSIS; GAME; GENE FREQUENCY; GENE MUTATION; GENETIC ANALYSIS; GENOTYPE; LAST COMMON ANCESTOR; MATHEMATICAL MODEL; MUTATION RATE; PHENOTYPE; POPULATION GENETIC STRUCTURE; PRIORITY JOURNAL; PROBABILITY; STATISTICAL ANALYSIS;

ANIMALS; BIOLOGICAL EVOLUTION; GAME THEORY; GENE FREQUENCY; MATHEMATICAL CONCEPTS; MODELS, GENETIC; SOCIAL BEHAVIOR;

EID: 84875948253     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2013.02.002     Document Type: Article

References (31)

1. Gardner A., West S.A., Wild G. The genetical theory of kin selection. J. Evol. Biol. 2011, 24:1020-1043.
2. Grafen A. Optimization of inclusive fitness. J. Theor. Biol. 2006, 238:541-563.
3. Grafen A. Formalizing Darwinism and inclusive fitness theory. Philos. Trans. R. Soc. London, Ser. B 2009, 364:3135-3141.
4. Grafen A, Archetti M. Natural selection of altruism in inelastic homogeneous viscous populations. J. Theor. Biol. 2008, 252:694-710.
5. Haldane J.B.S. Population genetics. New Biol. 1955, 18:34-51.
6. Hamilton W.D. The genetical evolution of social behaviour I. J. Theor. Biol. 1964, 7:1-16.
7. Hamilton W.D. Selfish and spiteful behaviour in an evolutionary model. Nature 1970, 228:1218-1220.
8. Lehmann L., Keller L. 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. 2006, 19:1426-1436.
9. Lieberman E., Hauert C., Nowak M.A. Evolutionary dynamics on graphs. Nature 2005, 433:312-316.
10. Maynard Smith J. Evolution and the Theory of Games 1982, Cambridge UniversityPress, Cambridge.
11. Michod R.E., Hamilton W.D. Coefficients of relatedness in sociobiology. Nature 1980, 288:694-697.
12. Nowak M.A., May R.M. Evolutionary games and spatial chaos. Nature 1992, 359:826-829.
13. Nowak M.A., Sasaki A., Taylor C., Fudenberg D. Emergence of cooperation and evolutionary stability in finite populations. Nature 2004, 428:646-650.
14. Ohtsuki H. Evolutionary games in Wright's island model: kin selection meets evolutionary game theory. Evolution 2010, 64:3344-3353.
15. Ohtsuki H., Nowak M.A. Evolutionary games on cycles. Philos. Trans. R. Soc. London, Ser. B 2006, 273:2249-2256. 10.1098/rspb.2006.3576.
16. Price G.R. Selection and covariance. Nature 1970, 227:520-521.
17. Queller D.C Kinship, reciprocity and synergism in the evolution of social behaviour: a synthetic model. Nature 1985, 318:366-367.
18. Queller D.C A general model for kin selection. Evolution 1992, 46:376-380.
19. Ross S.M. A First Course in Probability 1998, Prentice-Hall Inc, Englewood Cliffs, NJ. Fifth (Ed.).
20. Rousset F., Billiard S. A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 2000, 13:814-825.
21. Tarnita C.E., Ohtsuki H., Antal T., Fu F., Nowak M.A. Strategy selection in structured populations. J. Theor. Biol. 2009, 259:570-581. 10.1016/j.jtbi.2009.03.035.
22. Tarnita, C.E., Taylor, P.D. (in prep).
23. Taylor P.D. Altruism in viscous populations--an inclusive fitness model. Evol. Ecol. 1992, 6:352-356.
24. Taylor P.D. Decompositions of Price's formula in an inhomogeneous population structure. J. Evol. Biol 2008, 22:201-213. 10.1111/j.1420-9101.2008.01640.x.
25. Taylor P.D. Birth-death symmetry in the evolution of a social trait. J. Evol. Biol. 2010, 23:2569-2578.
26. Taylor P.D., Frank S. How to make a kin selection argument. J. Theor. Biol. 1996, 180:27-37.
27. Taylor P.D., Day T., Wild G. From inclusive fitness to fixation probability in homogeneous structured populations. J. Theor. Biol. 2007, 249:101-110. 10.1016/j.jtbi.2007.07.006.
28. Taylor P.D., Day T., Wild G. Evolution of cooperation in a finite homogeneous graph. Nature 2007, 447:469-472.
29. Taylor, P.D., Maciejewski, W. 2012. An inclusive fitness analysis of synergistic interactions in structured populations. Philos. Trans. R. Soc. London, Ser. B 279, 4596-4603, http://dx.doi.org/10.1098/rspb.2012.1408.
30. West S., Gardner A. Adaptation and social evolution. Current Biology, in press 2013.
31. West S., Gardner A. Altruism, spite and greenbeards. Science 2010, 327:1341-1344.