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Nonparametric Analysis of Random Utility Models

Yuichi Kitamura, Jörg Stoye

arXiv 15 Jun 2016 · Mathematics — Statistics Theory · publishedEconometrica (2018) · 98 citations (OpenAlex)

arXiv:1606.04819 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

56
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96
in-text mentions
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distinct cited
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main-text words

appendix boundary found by appendix_titled_section at “Appendix A: Proofs and Further Details of Inferential Procedures” · 54% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Kawaguchi (2017) Testing rationality without restricting heterogeneity1.00054100%
2McFadden (2005) Revealed Stochastic Preference: A Synthesis1.00054100%
3Andrews and Soares (2010) Inference for Parameters Defined by Moment Inequalities Using Generalized Moment Selection0.9416583%
4Deb, Kitamura, Quah, and Stoye (2018) Revealed Price Preference: Theory and Empirical Analysis0.92843100%
5Hubner (2018) It’s complicated: A Nonparametric Test of Preference Stability between Singles and Couples0.84333100%
6Manski (2014) Identification of income�leisure preferences and evaluation of income tax policy0.84333100%
7McFadden and Richter (1991) Stochastic rationality and revealed stochastic preference0.7373367%
8Bugni, Canay, and Shi (2015) Specification tests for partially identified models defined by moment inequalities0.64422100%
9Canay (2010) \ inference for partially identified models: Large deviations optimality and bootstrap validity0.64422100%
10Lazzati, Quah, and Shirai (2018) Nonparametric Analysis of Monotone Choice0.64422100%

Showing the top 10 of 56 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Nonparametric Counterfactuals in Random Utility Models1.00053
2Inference for Large-Scale Linear Systems with Known Coefficients0.87472
3Adaptive Estimation of Aggregated Values of Conditional Linear Programs0.81142
4Stochastic Revealed Preferences with Measurement Error0.73732
5Microeconometrics with Partial Identification0.73732
6Testing Exclusion and Shape Restrictions in Potential Outcomes Models0.73732
7Random Rank-Dependent Expected Utility0.64422
8Optimal Decision Rules when Payoffs are Partially Identified0.64422
9Revealed Price Preference: Theory and Empirical Analysis0.630241
10Frequentist properties of Bayesian inequality tests0.40511