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A New System of Consumer Demand Equations

  • Conniffe, D.

    (Economics Department and NIRSA NUI Maynooth)

This paper commences from a new indirect utility function and derives the corresponding system of equations, relating commodity demands to prices and income, that satisfies the constraints imposed by utility maximisation (aggregation, homogeneity, Slutsky symmetry and negativity). As the famous linear expenditure system (LES) is a special case of this new system, it is named the generalised Stone-Geary system (GSGS) and it incorporates a generalisation of the ‘subsistance’ income concept to one of ‘committed’ income. However, the GSGS is not subject to the well known limitations of the LES and it can model a reasonably representative range of consumer behaviour. It is also relatively parsimonious in parameters involving just 3n – 1, where n is the number of commodities. The new system has greater ranges of theoretical validity than various systems derived from ‘flexible’ functional forms. As with the LES, simple conditions on the parameters guarantee the validity of the system for all variable values except, perhaps, at low incomes.

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File URL: http://repec.maynoothuniversity.ie/mayecw-files/N1140402.pdf
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Paper provided by Department of Economics, Finance and Accounting, National University of Ireland - Maynooth in its series Economics, Finance and Accounting Department Working Paper Series with number n1140402.

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Length: 21 pages
Date of creation: Apr 2002
Date of revision:
Handle: RePEc:may:mayecw:n1140402
Contact details of provider: Postal: Maynooth, Co. Kildare
Phone: 353-1-7083728
Fax: 353-1-7083934
Web page: http://www.maynoothuniversity.ie/economics-finance-and-accounting

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  1. Denis Conniffe, 2002. "Sums and Products of Indirect Utility Functions," The Economic and Social Review, Economic and Social Studies, vol. 33(3), pages 285-295.
  2. 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.
  3. Lau, Lawrence J., 1986. "Functional forms in econometric model building," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 26, pages 1515-1566 Elsevier.
  4. Somermeyer, W. H. & Langhout, A., 1972. "Shapes of Engel curves and demand curves: Implications of the expenditure allocation model, applied to Dutch data," European Economic Review, Elsevier, vol. 3(3), pages 351-386, November.
  5. Gamaletsos, Theodore, 1973. "Further analysis of cross-country comparison of consumer expenditure patterns," European Economic Review, Elsevier, vol. 4(1), pages 1-20, April.
  6. Caves, Douglas W & Christensen, Laurits R, 1980. "Global Properties of Flexible Functional Forms," American Economic Review, American Economic Association, vol. 70(3), pages 422-32, June.
  7. Prof. Denis Conniffe, 2002. "Sums and Products of Indirect Utility Functions," NIRSA Working Paper Series 6, National Institute for Regional and Spatial Analysis (NIRSA), NUI Maynooth, Ireland..
  8. Gerry Boyle, 1995. "A MAIDS Model of Irish Meat Demand," Economics, Finance and Accounting Department Working Paper Series n570695, Department of Economics, Finance and Accounting, National University of Ireland - Maynooth.
  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.
  10. Akin, John S & Stewart, John F, 1979. "Theoretical Restrictions on the Parameters of Indirect Addilog Demand Equations," Econometrica, Econometric Society, vol. 47(3), pages 779-80, May.
  11. Pollak, Robert A, 1971. "Additive Utility Functions and Linear Engel Curves," Review of Economic Studies, Wiley Blackwell, vol. 38(116), pages 401-14, October.
  12. Deaton, Angus, 1986. "Demand analysis," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 3, chapter 30, pages 1767-1839 Elsevier.
  13. 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.
  14. Murty, K N, 1982. "Theoretical Restrictions on the Parameters of Indirect Addilog Demand Equations-A Comment," Econometrica, Econometric Society, vol. 50(1), pages 225-27, January.
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