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Stone-Geary meets CES:An extended linear expenditure system

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  • Ferran Sancho

Abstract

We reformulate the Stone-Geary utility function to incorporate non-unitary elasticities of substitution. We show that this extended linear expenditure system eliminates some of the restrictions implied by the Stone-Geary function. In particular, and most significantly, the proportions of expenditure over supernumerary income become price responsive under the extended demand system and their price derivatives behave coherently with the degree of substitution.

Suggested Citation

  • Ferran Sancho, 2023. "Stone-Geary meets CES:An extended linear expenditure system," UFAE and IAE Working Papers 971.23, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:971.23
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    References listed on IDEAS

    as
    1. Sébastien Lecocq & Jean-Marc Robin, 2006. "Estimating Demand Response with Panel Data," Empirical Economics, Springer, vol. 31(4), pages 1043-1060, November.
    2. Shoven, John B & Whalley, John, 1984. "Applied General-Equilibrium Models of Taxation and International Trade: An Introduction and Survey," Journal of Economic Literature, American Economic Association, vol. 22(3), pages 1007-1051, September.
    3. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762.
    4. Javier García-Enríquez & Cruz A. Echevarría, 2016. "Consistent Estimation of a Censored Demand System and Welfare Analysis: The 2012 VAT Reform in Spain," Journal of Agricultural Economics, Wiley Blackwell, vol. 67(2), pages 324-347, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Linear expenditure system; Constant elasticity of substitution; Calibrated demand functions.;
    All these keywords.

    JEL classification:

    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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