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Building Gorman's Nest

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Author Info
Jeffrey LaFrance (University of California, Berkeley)
Timothy Beatty (University of British Columbia, Vancouver)
Rulon Pope (Brigham Young University)

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Abstract

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.

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Paper provided by Department of Agricultural & Resource Economics, UC Berkeley in its series Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series with number 961.

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Date of creation: 20 Sep 2004
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Handle: RePEc:cdl:agrebk:961

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Keywords: aggregation; functional form; incomplete demand systems; Gorman Engel curves; weak integrability;

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  1. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September. [Downloadable!] (restricted)
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  2. Agnew, G. K. & Beatty, Timothy K. M. & LaFrance, Jeffrey T. & Pope, Rulon D., 2000. "The U.S. income distribution and Gorman Engel curves for food," CUDARE Working Paper Series 911, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
  3. Moschini, GianCarlo, 2002. "Units of Measurement and the 'Stone Index' in Demand System Estimation," Staff General Research Papers 5058, Iowa State University, Department of Economics.
  4. Russell, Thomas, 1983. "On a theorem of Gorman," Economics Letters, Elsevier, vol. 11(3), pages 223-224. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Jerison, Michael, 1993. "Russell on Gorman's Engel curves : A correction," Economics Letters, Elsevier, vol. 43(2), pages 171-175. [Downloadable!] (restricted)
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  7. Moschini, Giancarlo & Meilke, K.D., 2004. "Modeling the Pattern of Structural Change in U.S. Meat Demand," Staff General Research Papers 11266, Iowa State University, Department of Economics.
  8. 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. [Downloadable!] (restricted)
  9. 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)
  10. 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)
  11. Muellbauer, John, 1975. "Aggregation, Income Distribution and Consumer Demand," Review of Economic Studies, Blackwell Publishing, vol. 42(4), pages 525-43, October. [Downloadable!] (restricted)
  12. Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-59, November. [Downloadable!] (restricted)
  13. LaFrance, Jeffrey T., 1998. "The structure of U.S. food demand," CUDARE Working Paper Series 862, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
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  14. 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. [Downloadable!] (restricted)
  15. Anderson, Gordon & Blundell, Richard, 1983. "Testing Restrictions in a Flexible Dynamic Demand System: An Application to Consumers' Expenditure in Canada," Review of Economic Studies, Blackwell Publishing, vol. 50(3), pages 397-410, July. [Downloadable!] (restricted)
  16. Beatty, Timothy K. M. & LaFrance, Jeffrey T., 2001. "Income elasticity and functional form," CUDARE Working Paper Series 922, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
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