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Building Gorman's Nest

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  • LaFrance, Jeffrey T.
  • Beatty, Timothy K. M.
  • Pope, Rulon D.

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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Bibliographic Info

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 qt2ws698td.

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Date of creation: 20 Sep 2004
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Handle: RePEc:cdl:agrebk:qt2ws698td

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

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References

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  1. LaFrance, Jeffrey T., 2008. "The structure of US food demand," Journal of Econometrics, Elsevier, vol. 147(2), pages 336-349, December.
  2. Jerison, Michael, 1993. "Russell on Gorman's Engel curves : A correction," Economics Letters, Elsevier, vol. 43(2), pages 171-175.
  3. 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.
  4. Lewbel, Arthur, 1987. "Characterizing Some Gorman Engel Curves," Econometrica, Econometric Society, vol. 55(6), pages 1451-59, November.
  5. 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.
  6. 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.
  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.
  8. 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.
  9. Beatty, Timothy K.M. & LaFrance, Jeffrey T., 2004. "Income Elasticity And Functional Form," Working Papers 15835, University of British Columbia, Food and Resource Economics.
  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. 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. 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.
  13. 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.
  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.
  15. Jeffrey T. LaFrance & W. Michael Hanemann, 1989. "The Dual Structure of Incomplete Demand Systems," Development Research Unit Working Paper Series archive-21, Monash University, Department of Economics.
  16. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September.
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Citations

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Cited by:
  1. Hayley H. Chouinard & David E. Davis & Jeffrey LaFrance & Jeffrey M. Perloff, 2008. "Milk Marketing Order Winners and Losers," Working Papers 2009-03, School of Economic Sciences, Washington State University.
  2. Jeffrey LaFrance & Rulon Pope, 2008. "The Generalized Quadratic Expenditure System," Working Papers 2008-27, School of Economic Sciences, Washington State University.
  3. Jeffrey LaFrance, 2008. "The Structure of US Food Demand," Working Papers 2008-10, School of Economic Sciences, Washington State University.
  4. Eldon V. Ball & Ricardo Cavazos & Jeffrey T. LaFrance & Rulon Pope & Jesse Tack, 2010. "Aggregation and Arbitrage in Joint Production," Development Research Unit Working Paper Series archive-22, Monash University, Department of Economics.

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