  We study a two scalar inert doublet model (IDMS$_3$) which is stabilized by a
$S_3$ symmetry. We consider two scenarios: i) two of the scalars in each
charged sector are mass degenerated due to a residual $Z_2$ symmetry, ii) there
is no mass degeneracy because of the introduction of soft terms that break the
$Z_2$ symmetry. We show that both scenarios provide good dark matter candidates
for some range of parameters.
