When does the variance of replicator fitness decrease?

Journal of Mathematical Biology

Volumn 47, Issue 5, 2003, Pages 457-464

  Garay, József ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Evolutionarily stable allele distribution (ESAD); Evolutionarily stable state (ESS); Replicator dynamics; Variance of fitness

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; EVOLUTION; GENETIC SELECTION; GENETIC VARIABILITY; STATISTICAL MODEL;

EVOLUTION; MODELS, GENETIC; MODELS, STATISTICAL; SELECTION (GENETICS); VARIATION (GENETICS);

EID: 0842280793     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00285-003-0219-5     Document Type: Article

References (26)

1. Ewens, W.J.: Theor. Pop. Biol. 36, 167-180 (1989)
2. Ewens, W.J.: Theor. Pop. Biol. 42, 333-346 (1992)
3. Cressman, R., Hofbauer, J. & Hines W.G.S.: J. Math. Biol. 34, 707-733 (1996)
4. Crow, J.F.: Behav.Brain. Sci. 14, 218-219 (1991)
5. Fisher, R.A.: The Genetical Theory of Natural Selection. (1930) Oxford: Clarendon
6. Fisher, R.A.: The Genetical Theory of Natural Selection. (1958) New York: Dover Publications
7. Garay, J., Garay B.M.: J. Math. Biol. 37, 146-154 (1998)
8. Garay, J., Varga, Z.: J. Theor. Biol. 191, 163-172 (1998a)
9. Garay, J., Varga, Z.: Proc. R. Soc. Lond. B. 265, 1007-1010 (1998b)
10. Garay, J., Varga, Z.: J. Theor. Biol. 201, 215-218 (1999)
11. Haigh, J.: Advances in Appl. Probability. 7, 8-11 (1975)
12. Harsányi, J.: Int. Jour. Game Theory 2, 235-250 (1973)
13. Hofbauer, J., Sigmund, K.: The Theory of Evolution and Dynamical Systems. (1988) Cambridge: Cambridge University Press
14. Hofbauer, J., Sigmund, K.: Appl. Math. Lett. 3(4), 75-79 (1990)
15. Hofbauer, J., Sigmund, K.: Evolutionary Games and Population Dynamics. (1998) Cambridge: Cambridge University Press
16. Lessard, S.: Theor. Pop. Biol. 52, 119-136 (1997)
17. Lyubich, Y.I.: Mathematical Structures in Population Genetics. In Biomathematics Vol. 22. (1992) Berlin: Springer-Verlag
18. Maynard Smith, J.: Evolution and the Theory of Games. (1982) Oxford: Oxford University Press
19. Maynard Smith, J.: J. Theor. Biol. 47, 209-221 (1974)
20. Nagylaki, T.: Nat. Acad. Sci. U.S.A. 88, 2402-2406 (1987)
21. Pohley, H.J., Thomas, B.: BioSystems. 16, 87-100 (1983)
22. Price, G.R.: Ann. Hum. Genet. 36, 129-140 (1972)
23. Svirezhev, Y.M.: Optimum principles in genetics. In: V.A. Ratner (Ed.) "Studies on Theoretical Genetics", USSR Academy of Sciences, Novosibirsk [In Russian with English summary] (1971)
24. Taylor, P.D., Jonker L.B.: Math. Biosc. 40, 145-156 (1978)
25. Zeeman, E.C.: In: Global Theory of Dynamical Systems. Lecture Notes in Mathematics 819, 471-497 (1980) New York: Springer
26. van Damme, E.: Stability and Perfection of Nash Equilibria. (1991) Springer-Verlag: Berlin