On the local stability of an evolutionarily stable strategy in a diploid population
- 1 June 1984
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 21 (02) , 215-224
- https://doi.org/10.1017/s0021900200024621
Abstract
The evolutionarily stable strategy for a given payoff matrix contest, although originally determined in terms of a haploid population, has been shown elsewhere to correspond to an equilibrium of the mean strategy of a diploid population. In this note, the equilibrium is shown to be locally stable for diploid populations. This local stability is demonstrated primarily by relating the behaviour of the perturbed diploid population to one, or in some cases two, associated haploid populations.Keywords
This publication has 11 references indexed in Scilit:
- Evolutionarily stable strategies of diploid populations with semi-dominant inheritance patternsJournal of Applied Probability, 1984
- On learning and the evolutionarily stable strategyJournal of Applied Probability, 1983
- Strategy stability in complex randomly mating diploid populationsJournal of Applied Probability, 1982
- Evolutionary limits to the frequency of aggression between related or unrelated conspecifics in diploid species with simple mendelian inheritanceJournal of Theoretical Biology, 1981
- Will a Sexual Population Evolve to an Ess?The American Naturalist, 1981
- An evolutionarily stable strategy model for randomly mating diploid populationsJournal of Theoretical Biology, 1980
- Strategy stability in complex populationsJournal of Applied Probability, 1980
- Random evolutionarily stable strategiesTheoretical Population Biology, 1978
- Genetic and phenotypic models of natural selectionJournal of Theoretical Biology, 1977
- The theory of games and the evolution of animal conflictsJournal of Theoretical Biology, 1974