Signed Orders, Choice Probabilities, and Linear Polytopes.
Self-reflecting signed orders were proposed as an aid in estimating preference between subsets of items on the basis of limited information. The data of a signed order are preference comparisons that consider the desirability of excluding items from a subset as well as including items in a subset. This paper investigates signed orders within the setting of probabilistic choice and random utility theory. It focuses on linear signed order polytopes and their relationship to binary choice probabilities. The theory applies both to individual choice behavior and to group decision making. Copyright 2001 Academic Press.
Fishburn
Peter C.
PC
AT & T Labs-Research