Signed orders, choice probabilities, and linear polytopes

Self-reflecting signed orders were proposed as an aid in estimating prefere nce between subsets of items on the basis of limited information. The data of a signed order ale preference comparisons that consider the desirability of excluding items from a subset as well us including items in a subset. T his paper investigates signed orders within the setting of probabilistic ch oice 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. (C) 2001 A cademic Press.