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A generalization of the expenditure function

Author

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  • Noé Biheng

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

We consider a generalized expenditure function and the associated Hicksian demand. First, we provide some economic interpretation of the problem that we study. Then, we study different properties of the solution: existence, Lipschitz behavior and differential properties. We conclude by a Slutsky-type property.

Suggested Citation

  • Noé Biheng, 2014. "A generalization of the expenditure function," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01143222, HAL.
    • Handle: RePEc:hal:cesptp:halshs-01143222
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01143222
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    References listed on IDEAS

    as
    1. Biheng, Noé & Bonnisseau, Jean-Marc, 2015. "Regular economies with ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 24-36.
    2. repec:hal:pseose:halshs-01185486 is not listed on IDEAS
    3. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
    4. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    5. Jean-Jacques Laffont, 1988. "Fundamentals of Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121271, April.
    6. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    7. Lionel McKenzie, 1957. "Demand Theory Without a Utility Index," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 24(3), pages 185-189.
    8. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    9. Biheng, Noé & Bonnisseau, Jean-Marc, 2015. "Regular economies with ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 24-36.
    10. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
    11. Diamond, P. A. & McFadden, D. L., 1974. "Some uses of the expenditure function in public finance," Journal of Public Economics, Elsevier, vol. 3(1), pages 3-21, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    incomplete preferences; Lipschitz behavior; expenditure function; fonction de dépense; préférences incomplètes; caractère Lipschitzien;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D4 - Microeconomics - - Market Structure, Pricing, and Design

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