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Econometrica Vol. 86 No. 6 2018

Nonparametric Analysis of Random Utility Models

Yuichi Kitamura; Jörg Stoye

open access

Abstract

This paper develops and implements a nonparametric test of random utility models. The motivating application is to test the null hypothesis that a sample of cross‐sectional demand distributions was generated by a population of rational consumers. We test a necessary and sufficient condition for this that does not restrict unobserved heterogeneity or the number of goods. We also propose and implement a control function approach to account for endogenous expenditure. An econometric result of independent interest is a test for linear inequality constraints when these are represented as the vertices of a polyhedral cone rather than its faces. An empirical application to the U.K. Household Expenditure Survey illustrates computational feasibility of the method in demand problems with five goods.

DOI
10.3982/ecta14478
Volume
86
Issue
6
Pages
1883-1909
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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