This note provides two numerical representations of a nested system of strict partial orders. The first representation is based on utility and threshold functions. We generalize the threshold representation of menu-dependent preferences by allowing the threshold to depend not only on the menu...

Guided by evidence from eye-tracking studies of choice, pairwise comparison is assumed to be the building block of the decision-making procedure. A decision-maker with a rational preference may nevertheless consider the constituent pairwise comparisons gradually, easier comparisons preceding...

In Tversky's (1969) model of a lexicographic semiorder, preference is generated by the sequential application of numerical criteria, by declaring an alternative x better than an alternative y if the first criterion that distinguishes between x and y ranks x higher than y by an amount exceeding a...

When making choices, decision makers often either lack information about alternatives or lack the cognitive capacity to analyze every alternative. To capture these situations, we formulate a framework to study behavioral search by utilizing the idea of consideration sets. Consumers engage in a...