We contrast three decision rules that extend Expected Utility to contexts where a convex set of probabilities is used to depict uncertainty: Γ-Maximin, Maximality, and E-admissib...
Mark J. Schervish, Teddy Seidenfeld, Joseph B. Kad...
The European call option prices have well-known formulae in the Cox-RossRubinstein model [2], depending on the volatility of the underlying asset. Nevertheless it is hard to give ...
The finite element method is widely used for solving various problems in geotechnical engineering practice. The input parameters required for the calculations are generally impre...
Upper and lower conditional probabilities assigned by Hausdorff outer and inner measures are given; they are natural extensions to the class of all subsets of Ω=[0,1] of finite...
A generalization of deFinetti’s Fundamental Theorem of Probability facilitates coherent assessment, by iterated natural extension, of imprecise probabilities or expectations, co...
We discuss two approaches for choosing a strategy in a two-player game. We suppose that the game is played a large number of rounds, which allows the players to use observations o...
The nature of much information available to decision makers is vague and imprecise, be it information for human managers in organisations or for process agents in a distributed co...
Mats Danielson, Love Ekenberg, Jim Johansson, Aron...
Kuznetsov’s condition says that variables X and Y are independent when any product of bounded functions f(X) and g(Y) behaves in a certain way: the interval of expected values E...
Set-valued estimation offers a way to account for imprecise knowledge of the prior distribution of a Bayesian statistical inference problem. The set-valued Kalman filter, which p...