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The Generalized Quadratic Expenditure System

  • Jeffrey LaFrance
  • Rulon Pope

    ()

    (School of Economic Sciences, Washington State University)

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

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Length: 49 pages
Date of creation: Dec 2008
Date of revision:
Handle: RePEc:wsu:wpaper:lafrance-2
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  1. Russell, Thomas & Farris, Frank, 1993. "The geometric structure of some systems of demand equations," Journal of Mathematical Economics, Elsevier, vol. 22(4), pages 309-325.
  2. Dale W. Jorgenson & Daniel T. Slesnick, 1984. "Aggregate Consumer Behaviour and the Measurement of Inequality," Review of Economic Studies, Oxford University Press, vol. 51(3), pages 369-392.
  3. Keith R. McLaren & K.K. Gary Wong, 2009. "Effective global regularity and empirical modelling of direct, inverse, and mixed demand systems," Canadian Journal of Economics, Canadian Economics Association, vol. 42(2), pages 749-770, May.
  4. LaFrance, Jeffrey T. & Beatty, Timothy K. M. & Pope, Rulon D., 2004. "Building Gorman's Nest," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt2ws698td, Department of Agricultural & Resource Economics, UC Berkeley.
  5. 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.
  6. Lewbel, Arthur, 1987. "Fractional demand systems," Journal of Econometrics, Elsevier, vol. 36(3), pages 311-337, November.
  7. LaFrance, Jeffrey T & Pope, Rulon D., 2007. "Homogeneity and Supply," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt9kw967kf, Department of Agricultural & Resource Economics, UC Berkeley.
  8. Blundell, Richard, 1988. "Consumer Behaviour: Theory and Empirical Evidence--a Survey," Economic Journal, Royal Economic Society, vol. 98(389), pages 16-65, March.
  9. 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.
  10. John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," Review of Economic Studies, Oxford University Press, vol. 42(4), pages 525-543.
  11. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  12. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
  13. Burt, Oscar R & Brewer, Durward, 1971. "Estimation of Net Social Benefits from Outdoor Recreation," Econometrica, Econometric Society, vol. 39(5), pages 813-27, September.
  14. Jerison,Michael, 1993. "Russel on Gorman`s Engel curves: A correction," Discussion Paper Serie A 412, University of Bonn, Germany.
  15. 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.
  16. 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.
  17. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
  18. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  19. 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.
  20. 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.
  21. 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.
  22. LaFrance, Jeffrey T. & Pope, Rulon D, 2006. "Full rank rational demand systems," CUDARE Working Paper Series 1021, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
  23. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-99, September.
  24. Jorgenson, Dale W & Lau, Lawrence J & Stoker, Thomas M, 1980. "Welfare Comparison under Exact Aggregation," American Economic Review, American Economic Association, vol. 70(2), pages 268-72, May.
  25. 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.
  26. 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.
  27. Robert A. Pollak, 1969. "Conditional Demand Functions and Consumption Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 83(1), pages 60-78.
  28. 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.
  29. 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.
  30. 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.
  31. Jeffrey T. LaFrance & Timothy K. Beatty & Rulon D. Pope, 2006. "Gorman Engel Curves for Incomplete Demand Systems," Monash Economics Working Papers archive-23, Monash University, Department of Economics.
  32. Russell, Thomas, 1996. "Gorman demand systems and lie transformation groups: A reply," Economics Letters, Elsevier, vol. 51(2), pages 201-204, May.
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