The ``battle of the sexes'': A genetic model with limit cycle behavior (Q1119510)

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scientific article; zbMATH DE number 4099103
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The ``battle of the sexes'': A genetic model with limit cycle behavior
scientific article; zbMATH DE number 4099103

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    The ``battle of the sexes'': A genetic model with limit cycle behavior (English)
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    1987
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    A modification of Dawkins' ``battle of the sexes'' which is the simplest evolutionary game without an evolutionarily stable strategy is studied. The model investigated by the authors is a simple genetic model with two alleles at each of two loci, with sex-dependence and fitnesses depending on the frequencies of the other sex. For small intensity of frequency dependent selection the existence of a stable limit cycle is proved.
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    two-locus genetic model
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    averaging techniques
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    elliptic integrals
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    ESS
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    asymmetric conflict
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    evolutionary game
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    evolutionarily stable strategy
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    sex-dependence
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    frequency dependent selection
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    existence of a stable limit cycle
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