We introduce and analyze expected uncertain utility theory (EUU). A prior and an interval utility characterize an EUU decision maker. The decision maker uses her subjective prior to transform each uncertain prospect f into an interval-valued prospect f which assigns an interval [x, y] of prizes to each state. The decision maker ranks prospects according to their expected interval utilities E(u(...

In this article, we give an estimate of the zero-free region around the origin of the ambiguity function of a one-dimensional signal u in terms of the moments of u. This is done by proving an uncertainty relation between the first zero of the Fourier transform of a non-negative function and the moments of the function. As a corollary, we also give an estimate of how much a function needs to be ...

The robustness of the Bayes–Nash equilibrium prediction for seller revenue in auctions is investigated. In a framework of interdependent valuations generated from independent signals, seller expected revenue may fall well below the equilibrium prediction, even though the individual payoff consequences of suboptimal bidding may be small for each individual bidder. This possibility would be relev...

Subjective uncertainty is characterized by ambiguity if the decision maker has an imprecise knowledge of the probabilities of payo€ relevant events. In such an instance, the decision maker's beliefs are better represented by a set of probability functions than by a unique probability function. An ambiguity averse decision maker adjusts his choice on the side of caution in response to his imprec...