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To each genotype a separate strategy--a dynamic game theory model of a general diploid system
1Department of Mathematical Sciences, University of Dundee, U.K.
Abstract:
A dynamic game theory model is presented for a diploid system in which each genotype corresponds to a different strategy. The population mates randomly and the strategy, which is determined by a single locus, is expressed only in the male. A general analytic solution for any number of alleles does not appear to be possible, but the cases of two and three alleles are treated in detail. A stability analysis applicable to any number of alleles is presented, so that any equilibria located by numerical methods can be checked for local stability. Computer programs for doing all of these calculations are available from the author.
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