Nonparametric Engel Curves and Revealed Preference.

This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of revealed preference. The tightest bounds on indifference surfaces and welfare measures are derived using an...

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Main Authors: Blundell, R, Browning, M, Crawford, I
Format: Working paper
Language:English
Published: CAM (Institute of Economics, University of Copenhagen) 2002
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author Blundell, R
Browning, M
Crawford, I
author_facet Blundell, R
Browning, M
Crawford, I
author_sort Blundell, R
collection OXFORD
description This paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of revealed preference. The tightest bounds on indifference surfaces and welfare measures are derived using an algorithm for which revealed preference conditions are shown to guarantee convergence. Nonparametric Engel curves are used to estimate expansion paths and provide a stochastic structure within which to examine the consistency of household level data and revealed preference theory. An application is made to a long time series of repeated cross-sections from the Family Expenditure Survey for Britain. The consistency of these data with revealed preference theory is examined. For periods of consistency with revealed preference, tight bounds are placed on true cost of living indices.
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spelling oxford-uuid:8501a0bd-d468-4b05-aba1-4f802b2485902022-03-26T21:54:38ZNonparametric Engel Curves and Revealed Preference.Working paperhttp://purl.org/coar/resource_type/c_8042uuid:8501a0bd-d468-4b05-aba1-4f802b248590EnglishDepartment of Economics - ePrintsCAM (Institute of Economics, University of Copenhagen)2002Blundell, RBrowning, MCrawford, IThis paper applies revealed preference theory to the nonparametric statistical analysis of consumer demand. Knowledge of expansion paths is shown to improve the power of nonparametric tests of revealed preference. The tightest bounds on indifference surfaces and welfare measures are derived using an algorithm for which revealed preference conditions are shown to guarantee convergence. Nonparametric Engel curves are used to estimate expansion paths and provide a stochastic structure within which to examine the consistency of household level data and revealed preference theory. An application is made to a long time series of repeated cross-sections from the Family Expenditure Survey for Britain. The consistency of these data with revealed preference theory is examined. For periods of consistency with revealed preference, tight bounds are placed on true cost of living indices.
spellingShingle Blundell, R
Browning, M
Crawford, I
Nonparametric Engel Curves and Revealed Preference.
title Nonparametric Engel Curves and Revealed Preference.
title_full Nonparametric Engel Curves and Revealed Preference.
title_fullStr Nonparametric Engel Curves and Revealed Preference.
title_full_unstemmed Nonparametric Engel Curves and Revealed Preference.
title_short Nonparametric Engel Curves and Revealed Preference.
title_sort nonparametric engel curves and revealed preference
work_keys_str_mv AT blundellr nonparametricengelcurvesandrevealedpreference
AT browningm nonparametricengelcurvesandrevealedpreference
AT crawfordi nonparametricengelcurvesandrevealedpreference