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A Generalization of the Expenditure Function

Author

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  • Noé Biheng

    (Université Paris 1 Panthéon Sorbonne)

Abstract

We consider a generalized expenditure function and the corresponding Hicksian demand. First, we provide some economic interpretation of the problem at stake. Then, we obtain different properties of the solution: existence, Lipschitz behavior and differential properties. Finally, we provide a Slutsky-type property.

Suggested Citation

  • Noé Biheng, 2016. "A Generalization of the Expenditure Function," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 661-676, February.
    • Handle: RePEc:spr:joptap:v:168:y:2016:i:2:d:10.1007_s10957-015-0805-x
    DOI: 10.1007/s10957-015-0805-x
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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. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
    3. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    4. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    5. Jean-Jacques Laffont, 1988. "Fundamentals of Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121271, December.
    6. 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.
    7. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    8. Biheng, Noé & Bonnisseau, Jean-Marc, 2015. "Regular economies with ambiguity aversion," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 24-36.
    9. Rader, J Trout, 1973. "Nice Demand Functions," Econometrica, Econometric Society, vol. 41(5), pages 913-935, September.
    10. 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

    Expenditure function; Slutsky-type property; Lipschitz behavior;
    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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