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A Geometric Measure for the Violation of Utility Maximization

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  • Jan Heufer

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Abstract

Revealed Preference offers nonparametric tests for whether consumption observations can be rationalized by a utility function. If a consumer is inconsistent with GARP, we might need a measure for the severity of inconsistency. One widely used measure is the Afriat efficiency index (AEI).We propose a new measure based on the extent to which the indifference surfaces intersect the budget hyperplanes. The measure is intuitively appealing and, as a cutoff- rule evaluated by Monte Carlo experiments, performs very well compared to the AEI. The results suggest that the new measure is better suited to capture small deviations from utility maximation.

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Bibliographic Info

Paper provided by Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen in its series Ruhr Economic Papers with number 0069.

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Length: 27 pages
Date of creation: Sep 2008
Date of revision:
Handle: RePEc:rwi:repape:0069

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Keywords: Consumer choice; efficiency index; GARP; nonparametric tests; revealed preference;

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