I model the effect of genomic imprinting on the equilibrium allele fre
quencies at an autosomal diallelic locus subject to viability selectio
n and mutation. The population size is assumed to be very large; male
and female mutation rates may be unequal. Different models examine cas
es of the inactivation of one gene (with both complete and partial pen
etrance) and of differential expression of genes according to the pare
nt of origin. In the simplest cases the frequency of the deleterious a
llele is approximately twice that of a dominant nonimprinting mutant,
but considerably less than that of a recessive nonimprinting mutant. U
nder imprinting, selection and unequal mutation rates interact: other
things being equal, male-biased mutation leads to lower mutant frequen
cies under maternal imprinting and higher frequencies under paternal i
mprinting. I also model cases where just one allele is imprintable (an
d the other not). These models allow us to predict the frequency of a
failure to imprint in a normally imprinting system, as well as the fre
quency of imprinting at a standard nonimprinting locus.