TITLE:
Hardy-Weinberg Equilibrium and Mixed Strategy Equilibrium in Game Theory
AUTHORS:
Haruo H. Horaguchi
KEYWORDS:
Hardy-Weinberg Equilibrium; Nash Equilibrium; Mixed Strategy; Mendelian Proportions
JOURNAL NAME:
Theoretical Economics Letters,
Vol.3 No.2,
April
29,
2013
ABSTRACT: The Hardy-Weinberg Equilibrium (HWE) can be
linked to game theory. This article shows that payoffs, or resources, 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 resources 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.