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cemmap Working Papers
June 2011 CWP21/11
Article
Bounding quantile demand functions using revealed preference inequalities
Type: cemmap Working Papers
Authors: Richard Blundell, Dennis Kristensen and Rosa Matzkin

This paper develops a new technique for the estimation of consumer demand models with unobserved heterogeneity subject to revealed preference inequality restrictions. Particular attention is given to nonseparable heterogeneity. The inequality restrictions are used to identify bounds on quantile demand functions. A nonparametric estimator for these bounds is developed and asymptotic properties are derived. An empirical application using data from the U.K. Family Expenditure Survey illustrates the usefulness of the methods by deriving bounds and confidence sets for estimated quantile demand functions.

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