We develop a quantitative genetic model to investigate the evolution of X-i
mprinting. The model compares two forces that select for X-imprinting: geno
mic conflict caused by polygamy and sex-specific selection. Genomic conflic
t can only explain small reductions in maternal X gene expression and canno
t explain silencing of the maternal X. In contrast, sex-specific selection
can cause extreme differences in gene expression, in either direction (lowe
red maternal or paternal gene expression), even to the point of gene silenc
ing of either the maternal or paternal copy. These conclusions assume that
the Y-chromosome lacks genetic activity. The presence of an active Y homolo
gue makes imprinting resemble the autosomal Pattern, with active paternal a
lleles (X- and Y-linked) and silenced maternal alleles. This outcome is lik
ely to be restricted as Winked alleles are subject to the accumulation of d
eleterious mutations. Experimental evidence concerning X-imprinting in mous
e and human is interpreted in the light of these predictions and is shown t
o be far more easily explained by sex-specific selection.