Decisions under risk are often multidimensional, where the preferences of the decision maker depend on several attributes. For example, an individual might be concerned about both her level of wealth and the condition of her health. Many times the signs of successive cross derivatives of a...

Consider a simple two-state risk with equal probabilities for the two states. In particular, assume that the random wealth variable Xi dominates Yi via ith-order stochastic dominance for i = M,N. We show that the 50-50 lottery [XN + YM, YN + XM] dominates the lottery [XN + XM, YN + YM] via (N +...

In this paper, we consider a décision-maker facing a financial risk flanked by a backgroundrisk, possibly non-financial, such as health or environmental risk. A decision has to be madeabout the amount of an investment (in the financial dimension) resulting in a future benefiteither in the same...