  Incoherent pion photoproduction on the deuteron in the
$\Delta$(1232)-resonance region is investigated with special emphasis on
polarization observables. For the elementary pion photoproduction operator an
effective Lagrangian model which includes the standard pseudovector Born terms
and a resonance contribution from the $\Delta$(1232)-excitation is used. Our
results for the elementary $\gamma N\to\pi N$ reaction are in good agreement
with recent experimental data and results of other theoretical calculations. A
general analysis of all possible polarization observables for the $\gamma d
\to\pi NN$ reaction with polarized photon beam and/or oriented deuteron target
is presented. The unpolarized differential cross section, photon asymmetry,
vector and tensor target asymmetries are predicted for forthcoming experiments.
