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Evolutionarily stable strategies in diploid populations with general inheritance patterns

  • W. G. S. Hines (a1) and D. T. Bishop (a2)

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.

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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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Research supported by NSERC Operating Grant A6187.

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References

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Auslander, D. J., Guckenheimer, J. M. and Oster, G. (1978) Random evolutionary stable strategies. Theoret. Popn Biol. 13, 276293.
Hines, W. G. S. (1980) An evolutionarily stable strategy model for randomly mating diploid populations. J. Theoret. Biol. 87, 379384.
Hines, W. G. S. (1982) Strategy stability in complex randomly mating diploid populations. J. Appl. Prob. 19, 653659.
Lloyd, D. G. (1977) Genetic and phenotypic models of natural selection. J. Theoret. Biol. 69, 543560.
Maynard Smith, J. (1974) The theory of games and the evolution of animal conflicts. J. Theoret. Biol. 47, 209221.
Maynard Smith, J. (1981) Will a sexual population evolve to an ESS? Amer. Natur. 117, 10151018.
Maynard Smith, J. and Price, G. R. (1973) The logic of animal conflict. Nature, London 246, 1518.
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, 97124.

Keywords

Evolutionarily stable strategies in diploid populations with general inheritance patterns

  • W. G. S. Hines (a1) and D. T. Bishop (a2)

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