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Identities For Homogeneous Utility Functions

Author

Listed:
  • Miguel A. Espinosa

    ()

  • Juan D. Prada-Sarmiento

    ()

Abstract

Using a homogeneous and continuous utility function that represents a household's preferences, this paper proves explicit identities between most of the different objects that arise from the utility maximization and the expenditure minimization problems. The paper also outlines the homogeneity properties of each object. Finally, we show explicit algebraic ways to go from the indirect utility function to the expenditure function and from the Marshallian demand to the Hicksian demand and vice versa, without the need of any other function, thus simplifying the integrability problem avoiding the use of differential equations.

Suggested Citation

  • Miguel A. Espinosa & Juan D. Prada-Sarmiento, 2010. "Identities For Homogeneous Utility Functions," DOCUMENTOS CEDE 007611, UNIVERSIDAD DE LOS ANDES-CEDE.
  • Handle: RePEc:col:000089:007611
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    File URL: http://economia.uniandes.edu.co/publicaciones/dcede2010-26.pdf
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    References listed on IDEAS

    as
    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    Keywords

    Identities; homogeneous utility functions and household theory.;

    JEL classification:

    • D10 - Microeconomics - - Household Behavior - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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