  The role of the final-state $NN$-rescattering ($NN$-FSI) in the polarization
observables of the inclusive reaction $d(\gamma,\pi^-)pp$, involving
polarization of the photon beam and/or the deuteron target, is investigated.
Various single- and double-spin asymmetries are studied with respect to the
influence of such interaction effect and numerical predictions are given for
forthcoming experiments. It has been found that the effect of $NN$-FSI is quite
important for the single-spin asymmetries $\Sigma$, $T_{20}$, $T_{21}$ and
$T_{22}$ and the double-spin asymmetry $T^{\ell}_{20}$, whereas it is much less
important for the vector target asymmetry $T_{11}$ and other beam-target
double-polarization asymmetries. Furthermore, we found that the inclusion of
the $NN$-FSI improves the description of the LEGS data for the linear photon
asymmetry.
