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Evolutionarily stable strategies in diploid populations with general inheritance patterns

Published online by Cambridge University Press:  14 July 2016

W. G. S. Hines  and
D. T. Bishop
W. G. S. Hines*
Affiliation:
University of Guelph
D. T. Bishop*
Affiliation:
University of Utah
*
∗ Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Canada N1G 2W1.
∗∗ Postal address: Department of Medical Biophysics and Computing, University of Utah, Salt Lake City, UT 84112, U.S.A.
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Abstract

A simple argument demonstrates that the mean strategy of a diploid sexual population at evolutionary equilibrium can be expected to be an evolutionarily stable strategy (ESS) in the formal sense. This result follows under a wide set of models of genetic inheritance of strategy (including sexual selection) provided that the ESS is both attainable and maintainable.

Keywords

ANIMAL CONFLICT MODELSGAME DYNAMICSPOPULATION DYNAMICSPOPULATION STRATEGY STABILITYSEXUAL DIPLOIDY
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 2 , June 1983 , pp. 395 - 399
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

Research supported by NSERC Operating Grant A6187.

References

Auslander, D. J., Guckenheimer, J. M. and Oster, G. (1978) Random evolutionary stable strategies. Theoret. Popn Biol. 13, 276–293.Google Scholar
Hines, W. G. S. (1980) An evolutionarily stable strategy model for randomly mating diploid populations. J. Theoret. Biol. 87, 379–384.Google Scholar
Hines, W. G. S. (1982) Strategy stability in complex randomly mating diploid populations. J. Appl. Prob. 19, 653–659.Google Scholar
Lloyd, D. G. (1977) Genetic and phenotypic models of natural selection. J. Theoret. Biol. 69, 543–560.Google Scholar
Maynard Smith, J. (1974) The theory of games and the evolution of animal conflicts. J. Theoret. Biol. 47, 209–221.CrossRefGoogle Scholar
Maynard Smith, J. (1981) Will a sexual population evolve to an ESS? Amer. Natur. 117, 1015–1018.Google Scholar
Maynard Smith, J. and Price, G. R. (1973) The logic of animal conflict. Nature, London 246, 15–18.Google Scholar
Treisman, M. (1981) Evolutionary limits to the frequency of aggression between related or unrelated conspecifics in diploid species with simple mendelian inheritance. J. Theoret. Biol. 93, 97–124.Google Scholar