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Evolutionarily Stable Strategy in a Sex- and Frequency-Dependent Selection Model

✍ Scribed by TAO YI; SABIN LESSARD; MATHIEU LEMIRE

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 156 KB
Volume: 204
Category: Article
ISSN: 0022-5193
DOI: 10.1006/jtbi.2000.1098

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✦ Synopsis

In this paper, a sex-dependent matrix game haploid model is investigated. For this model, since the phenotypes of female and male individuals are determined by alleles located at a single locus and are sex dependent, any given genotype corresponds to a strategy pair. Thus, a strategy pair is an ESS if and only if the allele corresponding to this strategy pair cannot be invaded by any mutant allele. We show that an ESS equilibrium must be locally asymptotically stable if it exists.

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