Mutation-selection models in population genetics and evolutionary game theory (Q2639797)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mutation-selection models in population genetics and evolutionary game theory |
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Mutation-selection models in population genetics and evolutionary game theory (English)
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1989
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A general haploid mutation-selection model is analyzed and some of its applications are briefly discussed. Starting from the evolutionary game theory, the author considers replicator equations describing the dynamics of mixed strategies. A theorem is proved assuring that a set of stationary states (so-called evolutionarily stable set) remains stable if mutation is introduced into the dynamic equations. Its proof is based on the investigation of spectral properties of positive irreducible matrices.
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continuum of alleles
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gradient systems
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haploid mutation-selection model
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evolutionary game theory
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replicator equations
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dynamics of mixed strategies
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stationary states
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evolutionarily stable set
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spectral properties of positive irreducible matrices
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