Evolutionarily stable allele distributions

Journal of Theoretical Biology

Volumn 191, Issue 2, 1998, Pages 163-172

  Garay, József ^a   Varga, Zoltán ^b,c  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b SZENT ISTVÁN UNIVERSITY   (Hungary)

^c INSTITUTE FOR ADVANCED STUDY   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ALLELE DISTRIBUTION; EVOLUTIONARILY STABLE STRATEGY; PHENOTYPIC DISTRIBUTION; SELECTION;

ARTICLE; EVOLUTION; INHERITANCE; PHENOTYPE; POPULATION DYNAMICS; POPULATION GENETICS; PRIORITY JOURNAL;

MARTES PENNANTI;

EID: 0032554573     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1997.0577     Document Type: Article

References (30)

1. BOMZE, I. M. & PÖTSCHER, B. M. (1989). Game theoretical foundations of evolutionary stability. In Lecture Notes in Economics and Mathematic Systems Vol. 324. Berlin: Springer-Verlag.
2. CRESSMAN, R. (1988a). Frequency-dependent viability selection (a single-locus, multi-phenotype model). J. theor. Biol. 130, 147-165.
3. CRESSMAN, R. (1988b). Complex dynamical behaviour of frequency-dependent viability selection: an example. J. theor. Biol. 130, 167-173.
4. CRESSMAN, R. (1992). The Stability Concept of Evolutionary Game Theory. Berlin: Springer-Verlag.
5. CRESSMAN, R. & HINES, W. G. S. (1984). Evolutionarily stable strategies of diploid populations with semi-dominant inheritance patterns. J. Appl. Prob. 21, 1-9.
6. CRESSMAN, R., HOFBAUER, J. & HINES, W. G. S. (1996). Evolutionary stability in strategic models of single-locus frequency-dependent viability selection. J. Math. Biol. 34, 707-733.
7. FISHER, R. A. (1930). The Genetical Theory of Natural Selection. Oxford: Clarendon Press.
8. HINES, W. G. S. & BISHOP, D. T. (1983). Evolutionarily stable strategies in diploid populations with general inheritance patterns. J. Appl. Prob. 20, 395-399.
9. HINES, W. G. S. & BISHOP, D. T. (1984). On the local stability of an evolutionarily stable strategy in a diploid population. J. Appl. Prob. 21, 215-224.
10. HOEKSTRA, R. F., IWASA, Y. & WEISSING, F. J. (1991). The origin of isogamous sexual differentiation. In: Game Equilibrium Models I. (Selten, R., ed.). pp. 155-180. Berlin: Springer-Verlag.
11. HOFBAUER, J. & SIGMUND, K. (1988). The Theory of Evolution and Dynamical Systems. Cambridge: Cambridge University Press.
12. HOFBAUER, J., SCHUSTER, P. & SIGMUND, K. (1979). A note on evolutionarily stable strategy and game dynamics. J. Theor. Biol. 81, 609-612.
13. HOFBAUER, J., SCHUSTER, P. & SIGMUND, K. (1982). Game dynamics in Mendelian populations. Biol. Cyb. 43, 51-57.
14. LESSARD, S. (1984). Evolutionary dynamics in frequency-dependent two-phenotype models. Theor. Pop. Biol. 25, 210-243.
15. LLOYD, D. G. (1977). Genetic and phenotypic models of natural selection. J. theor. Biol. 69, 543-560.
16. MAYNARD SMITH, J. (1982). Will a sexual population evolve to ESS? Am. Nat. 117, 1015-1018.
17. MAYNARD SMITH, J. (1982). Evolution and Theory of Game. Oxford: Oxford University Press.
18. MAYNARD SMITH, J. (1989). Evolutionary Genetics. Oxford: Oxford University Press.
19. MAYNARD SMITH, J. & PRICE, G. (1974). The logic of animal conflicts. Nature 249, 15-18.
20. POHLEY, H. J. & THOMAS, B. (1983). Non-linear ESS-models and frequency dependent selection. BioSyst. 16, 87-100.
21. TAYLOR, P. D. & JONKER, L. B. (1978). Evolutionarily stable strategies and game dynamics. Math. Biosciences 40, 145-156.
22. THOMAS, B. (1985a). Genetical ESS-models - I. Concepts and basic model. Theor. Pop. Biol. 28, 18-32.
23. THOMAS, B. (1985b). Genetical ESS-models - II. Multi-strategy models and multiple alleles. Theor. Pop. Biol. 28, 33-49.
24. VAN DAMME, E. E. C. (1991). Stability and Perfection of Nash Equilibria. Berlin: Springer-Verlag.
25. VICKERS, G. T. & CANNINGS, C. (1987). On the definition of an evolutionarily stable strategy. J. theor. Biol. 129, 349-353.
26. VINCENT, T. L. & BROWN, J. S. (1988). The evolution of ESS theory. Ann. Rev. Ecol. 19, 423-443.
27. WEISSING, F. J. (1991). Evolutionary stability and dynamical stability in a class of evolutionary normal form games. In: Game Equilibrium Models I (Selten, R., ed.). Berlin: Springer-Verlag.
28. WEISSING, F. J. (1996). Genetic versus phenotypic models of evolution: can genetics be neglected in a long-term perspective? J. Math. Biol. 34, 533-555.
29. ZEEMAN, E. C. (1979). Population dynamics from game theory. Proc. Int. Conf. Global Theory of Dynamical Systems, pp. 471-497. Northwestern: Evanston.
30. ZEEMAN, E. C. (1980). Population dynamics from game theory. In: Global Theory of Dynamical Systems. Springer Lecture Notes in Mathematics Vol: 819.