Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T12:46:40.832Z Has data issue: false hasContentIssue false

How large is the support of an ESS?

Published online by Cambridge University Press:  14 July 2016

John Haigh*
Affiliation:
University of Sussex
*
Postal address: Mathematics Division, School of Mathematical and Physical Sciences, University of Sussex, Falmer, Brighton BN1 9QH, UK.

Abstract

Suppose the payoffs (aij) in the n × n matrix A are drawn independently from some continuous probability distribution. The number of tactics used in an ESS is investigated. Asymptotic results on the size of the ESS with largest support are given, using the work of Karlin and Kingman on the size of polymorphisms in one-locus multi-allele diploid selection models.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1989 

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.)

References

Bishop, D. T. and Cannings, C. (1976) Models of animal conflict. Adv. Appl. Prob. 8, 616621.CrossRefGoogle Scholar
Gillespie, J. H. (1977) A general model to account for enzyme variation in natural populations. III Multiple alleles. Evolution 31, 8590.Google Scholar
Haigh, J. (1975) Game theory and evolution. Adv. Appl. Prob. 7, 811.Google Scholar
Haigh, J. (1988) The distribution of evolutionarily stable strategies. J. Appl. Prob. 25, 233246.CrossRefGoogle Scholar
Karlin, S. (1981) Some natural viability systems for a multiallelic locus: a theoretical study. Genetics 97, 457473.Google Scholar
Kingman, J. F. C. (1988) Typical polymorphisms maintained by selection at a single locus. J. Appl. Prob. 25A, 113125.CrossRefGoogle Scholar
Lewontin, R. C., Ginzburg, L. R. and Tuljapurkar, S. D. (1978) Heterosis as an explanation of large amounts of genic polymorphism. Genetics 88, 149169.Google Scholar