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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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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. 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.
  2. 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.
  3. Russell, Thomas, 1996. "Gorman demand systems and lie transformation groups: A reply," Economics Letters, Elsevier, vol. 51(2), pages 201-204, May.
  4. 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.
  5. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
  6. Burt, Oscar R & Brewer, Durward, 1971. "Estimation of Net Social Benefits from Outdoor Recreation," Econometrica, Econometric Society, vol. 39(5), pages 813-27, September.
  7. Rulon D. Pope & Jeffrey T. LaFrance & Timothy K. M.Beatty, 2004. "Building Gorman's Nest," Econometric Society 2004 Australasian Meetings 26, Econometric Society.
  8. 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.
  9. Blundell, Richard, 1988. "Consumer Behaviour: Theory and Empirical Evidence--a Survey," Economic Journal, Royal Economic Society, vol. 98(389), pages 16-65, March.
  10. 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.
  11. 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.
  12. 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.
  13. repec:tpr:qjecon:v:83:y:1969:i:1:p:60-78 is not listed on IDEAS
  14. 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.
  15. 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.
  16. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  17. 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.
  18. Jeffrey LaFrance, 2008. "The Structure of US Food Demand," Working Papers 2008-10, School of Economic Sciences, Washington State University.
  19. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-99, September.
  20. 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.
  21. W. Erwin Diewert & T.J. Wales, 1989. "Flexible Functional Forms and Global Curvature Conditions," NBER Technical Working Papers 0040, National Bureau of Economic Research, Inc.
  22. Jeffrey T. LaFrance & Rulon D. Pope, 2008. "Homogeneity and Supply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 90(3), pages 606-612.
  23. Jorgenson, Dale W & Slesnick, Daniel T, 1984. "Aggregate Consumer Behaviour and the Measurement of Inequality," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 369-92, July.
  24. Jerison, Michael, 1993. "Russell on Gorman's Engel curves : A correction," Economics Letters, Elsevier, vol. 43(2), pages 171-175.
  25. 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.
  26. Lewbel, Arthur, 1987. "Fractional demand systems," Journal of Econometrics, Elsevier, vol. 36(3), pages 311-337, November.
  27. 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.
  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. Muellbauer, John, 1975. "Aggregation, Income Distribution and Consumer Demand," Review of Economic Studies, Wiley Blackwell, vol. 42(4), pages 525-43, October.
  30. 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.
  31. 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.
  32. 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.
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