Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-26T09:02:03.804Z Has data issue: false hasContentIssue false
  • English
  • Français

Strategy stability in complex populations

Published online by Cambridge University Press:  14 July 2016

W. G. S. Hines
W. G. S. Hines*
Affiliation:
University of Guelph
*
∗Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ont., Canada NIG 2W1.
Get access Rights & Permissions [Opens in a new window]

Abstract

In biological populations, several strategies for engaging in intraspecific contests may be present. Investigations of stability show that the mean strategy in use in the population can prove stable but that neutrally stable and gradually changing polymorphisms in strategy are to be expected when the contest affects reproductive success.

Keywords

CONDITIONAL ESSCOMPLEX POPULATIONSEVOLUTIONARILY STABLE STRATEGIESINTRASPECIFIC CONFLICTSMULTICOMPONENT POPULATIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 3 , September 1980 , pp. 600 - 610
Copyright
Copyright © Applied Probability Trust 1980 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Research supported by National Research Council Operating Grant A6187.

References

Bishop, D. T. and Cannings, C. (1976) Models of animal conflict (abstract). Adv. Appl. Prob. 6, 616–621.Google Scholar
Bishop, D. T. and Cannings, C. (1978) A generalized war of attrition. J. Theoret. Biol. 70, 85–124.CrossRefGoogle ScholarPubMed
Dawkins, R. (1976) The Selfish Gene. Oxford University Press.Google Scholar
Haigh, J. (1975) Game theory and evolution (abstract). Adv. Appl. Prob. 7, 8–11.CrossRefGoogle Scholar
Hines, W. G. S. (1977) Competition with an evolutionarily stable strategy, J. Theoret. Biol. 67, 141–153.Google Scholar
Hines, W. G. S. (1978) Mutations and stable strategies. J. Theoret. Biol. 72, 209–221.CrossRefGoogle ScholarPubMed
Maynard Smith, J. (1974) The theory of games and the evolution of animal conflicts. J. Theoret. Biol. 47, 209–221.CrossRefGoogle Scholar
Parker, G. A. (1979) Sexual selection and sexual conflict. In Reproductive Competition and Sexual Selection , ed. Blum, and Blum, , Academic Press, New York.Google Scholar
Rao, C. R. (1973) Linear Statistical Inference and its Applications. Wiley, New York.Google Scholar
Rao, C. R. and Mitra, S. K. (1971) Generalized Inverse of Matrices and its Applications. Wiley, New York.Google Scholar
Riley, J. G. (1979) Evolutionary equilibrium strategies. J. Theoret. Biol. 76, 109–123.Google Scholar
Rosen, M. R. (1978) Cheating in evolutionary games. J. Theoret. Biol. 75, 21–34.Google Scholar