Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection

Journal of Mathematical Biology

Volumn 47, Issue 5, 2003, Pages 465-482

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

^a WILFRID LAURIER UNIVERSITY   (Canada)

^b EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^c SZENT ISTVÁN UNIVERSITY   (Hungary)

Author keywords

Evolutionarily stable set; Evolutionary game theory; Genetic redundancy; Selection; Single locus

Indexed keywords

ALLELE; ARTICLE; BIOLOGICAL MODEL; DIPLOIDY; EVOLUTION; GENE FREQUENCY; GENETIC SELECTION; GENOTYPE; PHENOTYPE; STATISTICAL MODEL;

ALLELES; DIPLOIDY; EVOLUTION; GENE FREQUENCY; GENOTYPE; MODELS, GENETIC; MODELS, STATISTICAL; PHENOTYPE; SELECTION (GENETICS);

EID: 0842302550     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00285-003-0217-7     Document Type: Article

References (17)

1. Balkenborg, D., Schlag, K.H.: Evolutionarily stable sets. Int. J. of Game Theory 29, 571-595 (2000)
2. Bomze, I.M.: Lotka-Volterra equation and replicator dynamics: New issues in classification. Biol. Cybern. 72, 447-453 (1995)
3. Bomze, I.M.: Uniform barriers and evolutionarily stable sets. In: Game Theory, Experience, Rationality (W. Leinfellner, E. Kohler (eds.)) 225-243 Kluwer Academic Publishers, 1998
4. Bomze, I.M., Weibull, J.: Does neutral stability imply Lyapunov stability? Games and Economic Behavior 11, 173-192 (1995)
5. Cressman, R.: The Stability Concept of Evolutionary Game Theory (A Dynamic Approach). Lecture Notes in Biomathematics, Volume 94; Springer-Verlag, 1992
6. Cressman, R., Hofbauer, J., Hines, W.G.S.: Evolutionary stability in strategic models of single-locus frequency-dependent viability selection. J. Math. Biol. 34, 707-733 (1996)
7. Garay J., Varga Z.: Evolutionarily stable allele distributions. J. Theor. Biol. 191, 163-172 (1998)
8. Garay, J., Varga, Z.: Evolutionarily stable gamete distributions, submitted to Biosystems, 2003
9. Hammerstein P.: Darwinian adaptation, population genetics and the streetcar theory of evolution. J. Math. Biol. 34, 511-532 (1996)
10. Lessard, S.: Evolutionary dynamics in frequency dependent two-phenotype models. Theor. Pop. Biol. 25, 210-234 (1984)
11. Maynard Smith, J.: Will a sexual population evolve to an ESS? Am. Nat. 117, 1015-1018 (1981)
12. Maynard Smith, J., Price, G.R.: The logic of animal conflict. Nature 246, 15-18 (1973)
13. Palm, G.: Evolutionary stable strategies and game dynamics for n - person games. J. Math. Biol. 19, 329-334 (1984)
14. Thomas, B.: On evolutionarily stable sets. J. Math. Biol. 22, 105-115 (1985a)
15. Thomas, B.: Genetical ESS-models. I Concepts and basic model. Theor. Pop. Biol. 28, 18-32 (1985b)
16. Thomas, B.: Genetical ESS-models. II Multi-strategy models and multiple alleles. Theor. Pop. Biol. 28, 33-49 (1985c)
17. Weissing, F.: Genetic versus phenotypic models of selection: can genetics be neglected in a long-term perspective? J. Math. Biol. 34, 533-555 (1996)