The Limits of Identification in Discrete Choice

Fuente: arXiv
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Hauptverfasser: Chambers, Christopher P., Turansick, Christopher
Format: Preprint
Veröffentlicht: 2024
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author Chambers, Christopher P.
Turansick, Christopher
author_facet Chambers, Christopher P.
Turansick, Christopher
contents This paper uncovers tight bounds on the number of preferences permissible in identified random utility models. We show that as the number of alternatives in a discrete choice model becomes large, the fraction of preferences admissible in an identified model rapidly tends to zero. We propose a novel sufficient condition ensuring identification, which is strictly weaker than some of those existing in the literature. While this sufficient condition reaches our upper bound, an example demonstrates that this condition is not necessary for identification. Using our new condition, we show that the classic ``Latin Square" example from social choice theory is identified from stochastic choice data.
format Preprint
id arxiv_https___arxiv_org_abs_2403_13773
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Limits of Identification in Discrete Choice
Chambers, Christopher P.
Turansick, Christopher
Theoretical Economics
This paper uncovers tight bounds on the number of preferences permissible in identified random utility models. We show that as the number of alternatives in a discrete choice model becomes large, the fraction of preferences admissible in an identified model rapidly tends to zero. We propose a novel sufficient condition ensuring identification, which is strictly weaker than some of those existing in the literature. While this sufficient condition reaches our upper bound, an example demonstrates that this condition is not necessary for identification. Using our new condition, we show that the classic ``Latin Square" example from social choice theory is identified from stochastic choice data.
title The Limits of Identification in Discrete Choice
topic Theoretical Economics
url https://arxiv.org/abs/2403.13773