IDEAS home Printed from https://ideas.repec.org/p/uea/aepppr/2010_12.html
   My bibliography  Save this paper

Giffen Goods: A Duality Theorem

Author

Listed:
  • Henry Keith Moffatt

    (Cambridge)

  • Peter Moffatt

    (School of Economics, University of East Anglia)

Abstract

We show that if two goods whose Indirect Utility Function V (p; q) exhibits the Giffen property for good 1 in some subdomain G(p; q) of the positive quadrant, and if U(x; y) is a Direct Utility Function given by U(x; y) = -V (x; y) and therefore having the same convex contours as V, then U also exhibits the Giffen property for good 2 rather than for good 1, in the corresponding region G(x; y) of the positive (x; y) quadrant. The converse is also true.

Suggested Citation

  • Henry Keith Moffatt & Peter Moffatt, 2010. "Giffen Goods: A Duality Theorem," University of East Anglia Applied and Financial Economics Working Paper Series 012, School of Economics, University of East Anglia, Norwich, UK..
  • Handle: RePEc:uea:aepppr:2010_12
    as

    Download full text from publisher

    File URL: https://ueaeco.github.io/working-papers/papers/afe/UEA-AFE-012.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:bla:manchs:v:68:y:2000:i:3:p:349-59 is not listed on IDEAS
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Peter G. Moffatt, 2012. "A Class of Indirect Utility Functions Predicting Giffen Behaviour," Lecture Notes in Economics and Mathematical Systems, in: Wim Heijman & Pierre Mouche (ed.), New Insights into the Theory of Giffen Goods, pages 127-141, Springer.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shuji Takahashi, 2021. "The Income-Demand Curve: Implicit Function and Data Analysis Methods," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(1), pages 51-66, March.
    2. Kris De Jaegher, 2008. "Benchmark Two‐Good Utility Functions," Manchester School, University of Manchester, vol. 76(1), pages 44-65, January.
    3. Kris De Jaegher, 2009. "Asymmetric Substitutability: Theory And Some Applications," Economic Inquiry, Western Economic Association International, vol. 47(4), pages 838-855, October.
    4. 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.
    5. Peter Moffatt & Keith Moffatt, 2011. "Mirror utility functions and reflexion properties of various classes of goods," University of East Anglia Applied and Financial Economics Working Paper Series 031, School of Economics, University of East Anglia, Norwich, UK..
    6. Massimiliano Landi, 2014. "A Class of Symmetric and Quadratic Utility Functions Generating Giffen Demand," Working Papers 21-2014, Singapore Management University, School of Economics.
    7. Peter G. Moffatt, 2012. "A Class of Indirect Utility Functions Predicting Giffen Behaviour," Lecture Notes in Economics and Mathematical Systems, in: Wim Heijman & Pierre Mouche (ed.), New Insights into the Theory of Giffen Goods, pages 127-141, Springer.
    8. 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.
    9. P. G. Moffatt & H. K. Moffatt, 2014. "Giffen Goods and their Reflexion Property," Manchester School, University of Manchester, vol. 82(2), pages 129-142, March.
    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. 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.
    12. 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.
    13. Landi, Massimiliano, 2015. "A class of symmetric and quadratic utility functions generating Giffen demand," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 50-54.
    14. Biederman, Daniel K., 2015. "A strictly-concave, non-spliced, Giffen-compatible utility function," Economics Letters, Elsevier, vol. 131(C), pages 24-28.
    15. Sproule, Robert, 2023. "The Anomalies Of The Wold-Juréen (1953) Functional Form In Overview," MPRA Paper 117835, University Library of Munich, Germany.
    16. 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.
    17. Kazuyuki Sasakura, 2016. "Slutsky Revisited: A New Decomposition of the Price Effect," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(2), pages 253-280, July.
    18. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:uea:aepppr:2010_12. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Cara Liggins (email available below). General contact details of provider: https://edirc.repec.org/data/esueauk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.