Decision making under uncertainty using imprecise probabilities

Various ways for decision making with imprecise probabilities-admissibility, maximal expected utility, maximality, E-admissibility, @C-maximax, @C-maximin, all of which are well known from the literature-are discussed and compared. We generalise 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.

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