Summary In this paper we consider the problem of finding optimal consumption strategies in an incomplete semimartingale market model under model uncertainty. The quality of a consumption strategy is measured by not only one probability measure but as common in risk theory by a class of scenario...

The optimal risk allocation problem, equivalently the optimal risk sharing problem, in a market with n traders endowed with risk measures [varrho]1,...,[varrho]n is a classical problem in insurance and mathematical finance. This problem however only makes sense under a condition motivated from...