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Hardy-Weinberg Equilibrium and Mixed Strategy Equilibrium in Game Theory
Faculty of Business Administration, Hosei University, Tokyo, Japan
- 1 Faculty of Business Administration, Hosei University, Tokyo, Japan
Theoretical Economics Letters·Volume 03 (2013)·Pages 85–89·Published 29 April 2013·DOI10.4236/tel.2013.32014
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Abstract
The Hardy-Weinberg Equilibrium (HWE) can be linked to game theory. This article shows that payoffs, or resource s , in a game with alleles as players, determine the frequency of homozygotes. The frequency of aa homozygotes in the HWE is an increasing function of the multiplicative difference in own payoffs for each allele. Thus, Mendelian proportions are variable rather than fixed depending on the resource s for the alleles. Whereas the concept of evolutionary stable strategy (ESS) is based on non-cooperative competitive settings such as a competition between doves and hawks, this article explores a game theoretic situation where the mating of two alleles is presupposed.
KeywordsHardy-Weinberg EquilibriumNash EquilibriumMixed StrategyMendelian Proportions
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