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The Generalized Quadratic Expenditure System

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Author Info
Jeffrey LaFrance
Rulon Pope () (School of Economic Sciences, Washington State University)

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Abstract

This chapter presents the indirect preferences for all full rank Gorman and Lewbel demand systems. Each member in this class of demand models is a Generalized Quadratic Expenditure System (GQES). This representation allows applied researchers to choose a small number of price indices and a function of income to specify any exactly aggregable demand system, without the need to revisit the questions of integrability of the demand equations or the implied form and structure of indirect preferences. This characterization also allows for the calculation of exact welfare measures for consumers, either in the aggregate or for specific classes of individuals, and other valuations of interest to applied researchers.

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File URL: http://www.ses.wsu.edu/PDFFiles/WorkingPapers/LaFrance/LP-Generalized-QES.pdf
File Format: application/pdf
File Function: First version, 2008
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Publisher Info
Paper provided by School of Economic Sciences, Washington State University in its series Working Papers with number 2008-27.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 49 pages
Date of creation: Dec 2008
Date of revision:
Handle: RePEc:wsu:wpaper:lafrance-2

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Related research
Keywords: Aggregation; demand systems; functional form; integrability; rank;

Find related papers by JEL classification:
D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
E21 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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References listed on IDEAS
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  1. Jerison, Michael, 1993. "Russell on Gorman's Engel curves : A correction," Economics Letters, Elsevier, vol. 43(2), pages 171-175. [Downloadable!] (restricted)
    Other versions:
  2. Burt, Oscar R & Brewer, Durward, 1971. "Estimation of Net Social Benefits from Outdoor Recreation," Econometrica, Econometric Society, vol. 39(5), pages 813-27, September. [Downloadable!] (restricted)
  3. Keith R. McLaren & K.K. Gary Wong, 2007. "Effective global regularity and empirical modeling of direct, inverse and mixed demand systems," Monash Econometrics and Business Statistics Working Papers 2/07, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  4. Pollak, Robert A, 1969. "Conditional Demand Functions and Consumption Theory," The Quarterly Journal of Economics, MIT Press, vol. 83(1), pages 60-78, February. [Downloadable!] (restricted)
  5. van Daal, Jan & Merkies, Arnold H Q M, 1989. "A Note on the Quadratic Expenditure Model," Econometrica, Econometric Society, vol. 57(6), pages 1439-43, November. [Downloadable!] (restricted)
  6. Cooper, Russel J & McLaren, Keith R, 1996. "A System of Demand Equations Satisfying Effectively Global Regularity Conditions," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 359-64, May. [Downloadable!] (restricted)
  7. Howe, Howard & Pollak, Robert A & Wales, Terence J, 1979. "Theory and Time Series Estimation of the Quadratic Expenditure System," Econometrica, Econometric Society, vol. 47(5), pages 1231-47, September. [Downloadable!] (restricted)
  8. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May. [Downloadable!] (restricted)
  9. Russell, Thomas, 1996. "Gorman demand systems and lie transformation groups: A reply," Economics Letters, Elsevier, vol. 51(2), pages 201-204, May. [Downloadable!] (restricted)
  10. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December. [Downloadable!] (restricted)
    Other versions:
  11. Brown, Bryan W & Walker, Mary Beth, 1989. "The Random Utility Hypothesis and Inference in Demand Systems," Econometrica, Econometric Society, vol. 57(4), pages 815-29, July. [Downloadable!] (restricted)
  12. Cicchetti, Charles J & Fisher, Anthony C & Smith, V Kerry, 1976. "An Econometric Evaluation of a Generalized Consumer Surplus Measure: The Mineral King Controversy," Econometrica, Econometric Society, vol. 44(6), pages 1259-76, November. [Downloadable!] (restricted)
  13. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1975. "Transcendental Logarithmic Utility Functions," American Economic Review, American Economic Association, vol. 65(3), pages 367-83, June. [Downloadable!] (restricted)
  14. Diewert, W E & Wales, T J, 1988. "Normalized Quadratic Systems of Consumer Demand Functions," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 303-12, July.
  15. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January. [Downloadable!] (restricted)
    Other versions:
  16. Jorgenson, Dale W & Slesnick, Daniel T, 1987. "Aggregate Consumer Behavior and Household Equivalence Scales," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(2), pages 219-32, April.
  17. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June. [Downloadable!] (restricted)
  18. Barnett, William A. & Lee, Yul W. & Wolfe, Michael D., 1985. "The three-dimensional global properties of the minflex laurent, generalized leontief, and translog flexible functional forms," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 3-31. [Downloadable!] (restricted)
  19. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-99, September. [Downloadable!] (restricted)
  20. James Banks & Richard Blundell & Arthur Lewbel, 1997. "Quadratic Engel Curves And Consumer Demand," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 527-539, November. [Downloadable!] (restricted)
  21. Russell, Thomas & Farris, Frank, 1998. "Integrability, Gorman systems, and the lie bracket structure of the real line," Journal of Mathematical Economics, Elsevier, vol. 29(2), pages 183-209, March. [Downloadable!] (restricted)
  22. Muellbauer, John, 1975. "Aggregation, Income Distribution and Consumer Demand," Review of Economic Studies, Blackwell Publishing, vol. 42(4), pages 525-43, October. [Downloadable!] (restricted)
  23. Russel J. Cooper & Keith R. McLaren, 1992. "An Empirically Oriented Demand System with Improved Regularity Properties," Canadian Journal of Economics, Canadian Economics Association, vol. 25(3), pages 652-68, August. [Downloadable!] (restricted)
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This page was last updated on 2009-11-23.

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