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TESTING THE SIGNIFICANCE OF THE DEPARTURES FROM UTILITY MAXIMIZATION

Published online by Cambridge University Press:  14 July 2005

PHILIPPE de PERETTI
Affiliation:
Université Paris1 Panthéon-Sorbonne

Abstract

This paper introduces a general procedure that tests the significance of the departures from utility maximization, departures defined as violations of the general axiom of revealed preference (GARP). This general procedure is based on (i) an adjustment procedure that computes the minimal perturbation in order to satisfy GARP by using the information content in the transitive closure matrix and (ii) a test procedure that checks the significance of the necessary adjustment. This procedure can be easily implemented and programmed, and we run Monte Carlo simulations to show that it is quite powerful.

Type
ARTICLES
Copyright
© 2005 Cambridge University Press

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References

Afriat S. 1967 The construction of a utility function from expenditure data. International Economic Review 8, 6777.Google Scholar
Afriat S. 1973 On a system of inequalities in demand analysis: an extension of the classical method. International Economic Review 14, 460472.Google Scholar
Barnett W.A. and S.A. Choi 1989 A Monte Carlo study of tests of blockwise weak separability. Journal of Business and Economics Statistics; reprinted in Barnett, W.A. and J. Binner (2004) Functional Structure and Approximation in Econometrics, pp. 257–287. Amsterdam: North-Holland.Google Scholar
Belongia M.T. and K.A. Chrystal 1991 An admissible monetary aggregate for the United Kingdom. Review of Economics and Statistics 73, 497503.Google Scholar
Bronars S.G. 1987 The power of nonparametric tests of preference maximisation. Econometrica 55, 693698.Google Scholar
Diaye M.-A. and F. Gardes 1997 A Preference Analysis by Nonparametric Tests: Lessons from French Consumer Data. Document de travail Université Paris 1.
Famulari M. 1995 A household-based nonparametric test of demand theory. Review of Economics and Statistics 77, 372382.Google Scholar
Fisher D. and A.R. Fleissig 1997 Monetary aggregation and the demand for assets. Journal of Money, Credit and Banking 29, 458475.Google Scholar
Fisher D. and G. Whitney 2003 A new PC-based test for Varian's weak separability conditiond. Journal of Business and Economic Statistics 21, 133144.Google Scholar
Ljung G.M. and G.E.P. Box 1978 On a measure of lack of fit in time series models. Biometrika 65, 297303.Google Scholar
McLeod A.I. and W.K. Li 1983 Diagnostic checking ARMA time series models using squared-residual autocorrelations. Journal of Time Series Analysis 4, 269273.Google Scholar
Samuelson P.A. 1947 Foundations of Economic Analysis. Cambridge, MA: Harvard University Press.
Sippel R. 1999 A Note on the Power of Revealed Preference Tests with Afriat Inefficiency. Manuscript, University of Bonn.
Spanos A. 1999 Probability Theory and Statistical Inference. Cambridge, UK: Cambridge University Press.
Swofford J. and G. Whitney 1987 Nonparametric tests of utility maximization and weak separability for consumption, leisure and money. Review of Economics and Statistics 69, 458464.Google Scholar
Swofford J. and G. Whitney 1994 A revealed preference test for weakly separable utility maximization with incomplete adjustment. Journal of Econometrics 60, 235249.Google Scholar
Varian H.R. 1982 The nonparametric approach to demand analysis. Econometrica 50, 945973.Google Scholar
Varian H.R. 1985 Nonparametric analysis of optimizing behavior with measurement error. Journal of Econometrics 30, 445458.Google Scholar
Varian H.R. 1990 Goodness-of-fit in optimizing with measurement error. Journal of Econometrics 46, 125140.Google Scholar
Yatchew A. and L.G. Epstein 1985 Nonparametric hypothesis testing procedures and applications to demand analysis. Journal of Econometrics 30, 149169.Google Scholar