# Nonparametric Analysis of Random Utility Models

*Yuichi Kitamura* and
*Jörg Stoye*

Papers from arXiv.org

**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 rely on any restriction on 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 polyhedron rather than its faces. An empirical application to the U.K. Household Expenditure Survey illustrates computational feasibility of the method in demand problems with 5 goods.

**Date:** 2016-06, Revised 2018-09

**New Economics Papers:** this item is included in nep-upt

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http://arxiv.org/pdf/1606.04819 Latest version (application/pdf)

**Related works:**

Journal Article: Nonparametric Analysis of Random Utility Models (2018)

Working Paper: Nonparametric analysis of random utility models (2017)

Working Paper: Nonparametric analysis of random utility models (2016)

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**Persistent link:** https://EconPapers.repec.org/RePEc:arx:papers:1606.04819

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