  Various ways for decision making with imprecise probabilities (admissibility,
maximal expected utility, maximality, E-admissibility, $\Gamma$-maximax,
$\Gamma$-maximin, all of which are well-known from the literature) are
discussed and compared. We generalize a well-known sufficient condition for
existence of optimal decisions. A simple numerical example shows how these
criteria can work in practice, and demonstrates their differences. Finally, we
suggest an efficient approach to calculate optimal decisions under these
decision criteria.
