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Simple Utility Functions with Giffen Demand

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  • Peter Sørensen

Abstract

We present some simple utility functions whose Marshallian demand functions possess the Giffen property: at some price-wealth pairs, the demand for a good marginally increases in response to an increase in its own price. The utility functions satisfy standard preference properties throughout the usual consumption set of nonnegative bundles: continuity, monotonicity, and convexity.
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  • Peter Sørensen, 2007. "Simple Utility Functions with Giffen Demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 367-370, May.
    • Handle: RePEc:spr:joecth:v:31:y:2007:i:2:p:367-370
    DOI: 10.1007/s00199-006-0086-6
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    References listed on IDEAS

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    1. John H. Nachbar, 1998. "The last word on Giffen goods?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 403-412.
    2. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74(2), pages 132-132.
    3. Moffatt, Peter G., 2002. "Is Giffen behaviour compatible with the axioms of consumer theory?," Journal of Mathematical Economics, Elsevier, vol. 37(4), pages 259-267, July.
    4. Christian E. Weber, 1997. "The Case of a Giffen Good: Comment," The Journal of Economic Education, Taylor & Francis Journals, vol. 28(1), pages 36-44, March.
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    Cited by:

    1. Biederman, Daniel K., 2015. "A strictly-concave, non-spliced, Giffen-compatible utility function," Economics Letters, Elsevier, vol. 131(C), pages 24-28.
    2. Landi, Massimiliano, 2015. "A class of symmetric and quadratic utility functions generating Giffen demand," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 50-54.
    3. Miller, Anne, 2023. "Demand Theory for Poverty and Affluence: A Contribution to Utility Theory," MPRA Paper 117618, University Library of Munich, Germany, revised 13 Jun 2023.
    4. Yochanan Shachmurove & Janusz Szyrmer, 2011. "Sir Robert Giffen Meets Russia in Early 1990s," PIER Working Paper Archive 11-020, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    5. Miller, Anne, 2024. "The Concept of Separate needs in Cardinal Utility Theory: A Functional Form for Added Leaning-S-shaped Utlities," MPRA Paper 121455, University Library of Munich, Germany.
    6. Miller, Anne, 2022. "Demand theory for poverty and affluence," MPRA Paper 116144, University Library of Munich, Germany.
    7. Sproule, Robert A., 2020. "The delimitation of Giffenity for the Wold-Juréen (1953) utility function using relative prices: A note," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 14, pages 1-8.
    8. Junko Doi & Kazumichi Iwasa & Koji Shimomura, 2012. "Giffen Behavior Independent of the Wealth Level," Lecture Notes in Economics and Mathematical Systems, in: Wim Heijman & Pierre Mouche (ed.), New Insights into the Theory of Giffen Goods, pages 105-126, Springer.

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    More about this item

    Keywords

    Preferences; Giffen good; D11;
    All these keywords.

    JEL classification:

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

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