Continuous stability and evolutionary convergence.

I Eshel; U Motro; E Sansone

doi:10.1006/jtbi.1996.0312

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PubMed · 9156083

Continuous stability and evolutionary convergence.

I Eshel·U Motro·E Sansone

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Abstract

A stochastic process of long-term evolution due to mutation and selection is defined over an asexually reproducing population, with selection according to a population game with a one-dimensional continuity of pure strategies. Limiting the analysis to mutations of small effect, it is shown that long-term dynamic stability in such a process is equivalent to continuous stability in the relevant population game. In the case of a one-dimensional strategy set (but not necessarily if the strategy set is multi-dimensional), this result is virtually independent of the distribution of mutations.

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Animals Biological Evolution Game Theory Models, Biological Mutation Reproduction, Asexual Journal Article

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I Eshel, U Motro, E Sansone. 1997-04-07. Continuous stability and evolutionary convergence.. https://doi.org/10.1006/jtbi.1996.0312

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