IDEAS home Printed from https://ideas.repec.org/a/anp/econom/v17y20162176_184.html
   My bibliography  Save this article

Remarks on Fenchel-Moreau conjugate in the setting of consumer theory

Author

Listed:
  • George H.M. Cunha

    (Catholic University of Brasilia)

  • Michel A.C. Oliveira

    (Catholic University of Brasilia)

  • Michel A.C. Oliveira

    (Catholic University of Brasilia)

  • Wilfredo Sosa

    (Catholic University of Brasilia)

Abstract

In thismanuscriptwe considerthe conjugate notion focused fromconsumertheory as an interesting tool.According to us, conjugate notion remained undeveloped in economic theory because Fenchel's conjugate notion was introduced exclusively for proper convex lower semi continuous functions and convexity assumption is not natural in economic theory. Nevertheless, we introduce necessary and sufficient optimality conditions for consumer problem. Also, we consider a particular version of Fenchel-Moreau conjugate notion, for lower semi continuous functions recently introduced in the literature as a generalization of Fenchel's conjugate. Finally, we adapt it to closed functions in order to define a convex dual problem for consumer problem.

Suggested Citation

  • George H.M. Cunha & Michel A.C. Oliveira & Michel A.C. Oliveira & Wilfredo Sosa, 2016. "Remarks on Fenchel-Moreau conjugate in the setting of consumer theory," Economia, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 17(2), pages 176-184.
    • Handle: RePEc:anp:econom:v:17:y:2016:2:176_184
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1517758016300273
    Download Restriction: no
    File URL: http://ac.els-cdn.com/S1517758016300340/1-s2.0-S1517758016300340-main.pdf?_tid=521d9f7a-0f47-11e7-9ab9-00000aab0f02&acdnat=1490218645_0c1eec8b6ec516deb5485e51a442292b
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Convex analysis; Fenchel's conjugate; Economic theory;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

    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:anp:econom:v:17:y:2016:2:176_184. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Rodrigo Zadra Armond (email available below). General contact details of provider: https://edirc.repec.org/data/anpecea.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.