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Building Gorman's nest

  • LaFrance, Jeffrey T.

    (University of California, Berkeley. Dept of agricultural and resource economics and policy)

  • Beatty, Timothy K. M.
  • Pope, Rulon D

Gorman Engel curves are extended to incomplete systems. The roles of Slutsky symmetry and homogeneity/adding up are isolated in the rank and functional form restrictions for Gorman systems. Symmetry determines the rank condition. The maximum rank is three for incomplete and complete systems. Homogeneity/adding up determines the functional form restrictions in complete systems. There is no restriction on functional form in an incomplete system. Every full rank and minimal deficit reduced rank Gorman system has a representation as a polynomial in a single function of income. This generates a complete taxonomy of indirect preferences for Gorman systems. Using this taxonomy, we develop models of incomplete Gorman systems that nest rank and functional form and satisfy global regularity conditions. All results are completely derived with elementary and straightforward methods that should be of wide interest.

(This abstract was borrowed from another version of this item.)

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Paper provided by University of California at Berkeley, Department of Agricultural and Resource Economics and Policy in its series CUDARE Working Paper Series with number 0961.

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Length: 71 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:are:cudare:0961
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  1. Jerison,Michael, 1993. "Russel on Gorman`s Engel curves: A correction," Discussion Paper Serie A 412, University of Bonn, Germany.
  2. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-26, June.
  3. Anderson, Gordon & Blundell, Richard, 1983. "Testing Restrictions in a Flexible Dynamic Demand System: An Application to Consumers' Expenditure in Canada," Review of Economic Studies, Wiley Blackwell, vol. 50(3), pages 397-410, July.
  4. Jeffrey T. LaFrance & W. Michael Hanemann, 1989. "The Dual Structure of Incomplete Demand Systems," Monash Economics Working Papers archive-21, Monash University, Department of Economics.
  5. 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.
  6. Pashardes, Panos, 1993. "Bias in Estimating the Almost Ideal Demand System with the Stone Index Approximation," Economic Journal, Royal Economic Society, vol. 103(419), pages 908-15, July.
  7. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September.
  8. Jeffrey LaFrance, 2008. "The Structure of US Food Demand," Working Papers 2008-10, School of Economic Sciences, Washington State University.
  9. Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-59, November.
  10. LaFrance, J. T. & Beatty, T. K. M. & Pope, R. D. & Agnew, G. K., 2002. "Information theoretic measures of the income distribution in food demand," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 235-257, March.
  11. Beatty, Timothy K.M. & LaFrance, Jeffrey T., 2004. "Income Elasticity And Functional Form," Working Papers 15835, University of British Columbia, Food and Resource Economics.
  12. Browning, Martin & Meghir, Costas, 1991. "The Effects of Male and Female Labor Supply on Commodity Demands," Econometrica, Econometric Society, vol. 59(4), pages 925-51, July.
  13. Moschini, GianCarlo, 1995. "Units of Measurement and the 'Stone Index' In Demand System Estimation," Staff General Research Papers 5058, Iowa State University, Department of Economics.
  14. Adolf Buse, 1998. "Testing Homogeneity in the Linearized Almost Ideal Demand System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(1), pages 208-220.
  15. 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.
  16. Moschini, GianCarlo & Meilke, Karl D., 1989. "Modeling the Pattern of Structural Change in U.S. Meat Demand," Staff General Research Papers 11266, Iowa State University, Department of Economics.
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