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When does the variance of replicator fitness decrease?

作者信息

Garay József

机构信息

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.

出版信息

J Math Biol. 2003 Nov;47(5):457-64. doi: 10.1007/s00285-003-0219-5. Epub 2003 Aug 6.

Abstract

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.

摘要

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