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A class of symmetric and quadratic utility functions generating Giffen demand

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  • Landi, Massimiliano

Abstract

I provide a simple example of a quadratic utility function that generates a Giffen demand. The utility function is symmetric, increasing and concave. Interestingly, the Giffen effect arises in the subspace where the utility function is strictly increasing and strictly concave. A full characterization of the parameter conditions under which the Giffen demand arises is provided.

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  • Landi, Massimiliano, 2015. "A class of symmetric and quadratic utility functions generating Giffen demand," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 50-54.
    • Handle: RePEc:eee:matsoc:v:73:y:2015:i:c:p:50-54
    DOI: 10.1016/j.mathsocsci.2014.11.006
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    References listed on IDEAS

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    1. David J. Butler & Peter G. Moffatt, 2000. "The Demand For Goods Under Mixture Aversion," Manchester School, University of Manchester, vol. 68(3), pages 349-359, June.
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    3. Vandermeulen, Daniel C, 1972. "Upward Sloping Demand Curves Without the Giffen Paradox," American Economic Review, American Economic Association, vol. 62(3), pages 453-458, June.
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    7. repec:bla:manchs:v:68:y:2000:i:3:p:349-59 is not listed on IDEAS
    8. Wim Heijman & Pierre Mouche, 2012. "A Child Garden of Concrete Giffen Utility Functions: A Theoretical Review," Lecture Notes in Economics and Mathematical Systems, in: Wim Heijman & Pierre Mouche (ed.), New Insights into the Theory of Giffen Goods, pages 69-88, Springer.
    9. Robert T. Jensen & Nolan H. Miller, 2008. "Giffen Behavior and Subsistence Consumption," American Economic Review, American Economic Association, vol. 98(4), pages 1553-1577, September.
    10. 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.
    11. 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.
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    1. Anil K. Agrawal & Amit Ambar Gupta & Manu K. Vora, 2021. "Optimal pricing and lot-sizing policies under promotional expense for some Veblen products," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 83-108, March.
    2. 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.
    3. Robert SPROULE & Michael KARRAS, 2022. "Two conditions which induce Giffen behavior in any numerical analysis if applied to the Wold-Juréen (1953) utility function," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania / Editura Economica, vol. 0(4(633), W), pages 197-204, Winter.
    4. Biederman, Daniel K., 2015. "A strictly-concave, non-spliced, Giffen-compatible utility function," Economics Letters, Elsevier, vol. 131(C), pages 24-28.
    5. Franks, Edwin & Bryant, William D.A., 2018. "The Uncompensated Law of Demand in an exchange economy," Economics Letters, Elsevier, vol. 168(C), pages 127-131.
    6. Sproule, Robert & Karras, Michael, 2022. "Two Conditions Which Induce Giffen Behavior In Any Numerical Analysis When Applied To The Wold-Juréen (1953) Utility Function," MPRA Paper 112558, University Library of Munich, Germany.

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