When does the variance of replicator fitness decrease?
For the general replicator dynamics with regular relative advantage functions (having non-singular Jacobian and symmetrized Jacobian), it will be shown that the variance of marginal fitness of the replicators strictly decreases along each trajectory of the replicator dynamics near an interior rest point if and only if this rest point is a regular evolutionarily stable state.
Garay
József
J
Ecological Modelling Research Group of the Hungarian Academy of Science & Department of Plant Taxonomy and Ecology, Eötvös Lorand University, Pázmány P. sétány 1/C, Hungary. garayj@ludens.elte.hu
D005075:Biological Evolution; D014644:Genetic Variation; D008957:Models, Genetic; D015233:Models, Statistical; D012641:Selection, Genetic