A Representation Theorem for Finite Best-Worst Random Utility Models
Optimization and Control
2020-09-08 v3 Probability
Abstract
This paper investigates best-worst choice probabilities (picking the best and the worst alternative from an offered set). It is shown that non-negativity of best-worst Block-Marschak polynomials is necessary and sufficient for the existence of a random utility representation. The representation theorem is obtained by extending proof techniques employed by Falmagne (1978) for a corresponding result on best choices (picking the best alternative from an offered set).
Cite
@article{arxiv.2008.09782,
title = {A Representation Theorem for Finite Best-Worst Random Utility Models},
author = {Hans Colonius},
journal= {arXiv preprint arXiv:2008.09782},
year = {2020}
}