Publication Date
7-1-2024
Abstract
Traditional decision theory recommendation about making a decision assume that we know both the probabilities of different outcomes of each possible decision, and we know the utility function -- that describes the decision maker's preferences. Sometimes, we can make a recommendation even when we only have partial information about utility. Such cases are known as cases of stochastic dominance. In other cases, in addition to not knowing the utility function, we also only have partial information about the probabilities of different outcomes. For example, we may only known bounds on the outcomes (case of interval uncertainty) or bounds on the values of the cumulative distribution function (case of p-box uncertainty). In this paper, we extend known stochastic dominance results to these two cases.
Comments
Technical Report: UTEP-CS-24-38