We outline an approach for assessing preferences in the form of a finite-dimensional, linear-lexicographic utility function when they lack the continuity properties necessary for representing them in the form of a real-valued, von Neumann-Morgenstern utility function. This approach takes the...

An additive-across-states decomposition of lexicographic linear utility is easily obtained under a mild structural assumption concerning sufficient richness of acts in the domain of preference assessment, but the vectoral nature of lexicographic utility introduces two complexities absent in the...

By enriching the set of acts deemed available at least as objects of assessment, the authors obtain a significant tightening of the linear lexicographic representation described in I. LaValle and P. Fishburn (1991). Under the state-independent assumption that every outcome is available in every...

This paper explores implications for one-stage and two-stage decision processes of a theory of choice tha t accommodates nontransitive preferences. It focuses on probabilistic convexification of finite base sets and on choice from convex sets. The one-stage formulation always has a...

We examine the choice-of-single-stage-experiment problem (Raiffa and Schlaifer, 1961) under the assumption that the decider's (weak) preference relation "greater than or equal to" satisfies Schmeidler's (1989) or Gilboa's (1987) axiomatization and is thus representable by a nonadditive...

A familiar example devised by Daniel Ellsberg to highlight the effects of event ambiguity on preferences is transformed to separate aleatory uncertainty (chance) from epistemic uncertainty. The transformation leads to a lottery acts model whose states involve epistemic uncertainty; aleatory...