IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/1990-02.html
   My bibliography  Save this paper

Lagrangean conditions for general optimization problems with applications to consumer theory

Author

Listed:
  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

  • José Manuel Gutiérrez Díez

    (Universidad de Salamanca)

Abstract

In thib paper we provide Lagrangean conditions in a problem generalenough to encompass both the classical quasiconcave optimization problemand the maximization of binary relations.The formal results are applied to consumer theory, providinganalytical characterizations of the solution to the consumer problem insome cases where preferences are not representable by continuous utilityfunctions.

Suggested Citation

  • Carmen Herrero Blanco & José Manuel Gutiérrez Díez, 1990. "Lagrangean conditions for general optimization problems with applications to consumer theory," Working Papers. Serie AD 1990-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:1990-02
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1990-02.pdf
    File Function: Fisrt version / Primera version, 1990
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gale, D. & Mas-Colell, A., 1975. "An equilibrium existence theorem for a general model without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(1), pages 9-15, March.
    2. Schmeidler, David, 1971. "A Condition for the Completeness of Partial Preference Relations," Econometrica, Econometric Society, vol. 39(2), pages 403-404, March.
    3. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
    4. Bergstrom, Theodore C. & Parks, Robert P. & Rader, Trout, 1976. "Preferences which have open graphs," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 265-268, December.
    5. Mas-Colell, Andrew, 1974. "An equilibrium existence theorem without complete or transitive preferences," Journal of Mathematical Economics, Elsevier, vol. 1(3), pages 237-246, December.
    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. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

    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. M. Ali Khan & Metin Uyanık, 2021. "Topological connectedness and behavioral assumptions on preferences: a two-way relationship," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 411-460, March.
    2. M. Ali Khan & Metin Uyanik, 2021. "The Yannelis–Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 799-840, April.
    3. Metin Uyanik & Aniruddha Ghosh & M. Ali Khan, 2023. "Separately Convex and Separately Continuous Preferences: On Results of Schmeidler, Shafer, and Bergstrom-Parks-Rader," Papers 2310.00531, arXiv.org.
    4. Gerasímou, Georgios, 2010. "Consumer theory with bounded rational preferences," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 708-714, September.
    5. Monique Florenzano, 2007. "General equilibrium," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00250167, HAL.
    6. Guangsug Hahn, 2007. "Equilibrium in Production Economies with Nontransitive and Satiable Preferences," Korean Economic Review, Korean Economic Association, vol. 23, pages 415-431.
    7. Senda Ounaies & Jean-Marc Bonnisseau & Souhail Chebbi, 2016. "Equilibrium of a production economy with noncompact attainable allocations set," Documents de travail du Centre d'Economie de la Sorbonne 16056r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Oct 2017.
    8. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00531434, HAL.
    9. Filipe Martins-da-Rocha, V. & Topuzu, Mihaela, 2008. "Cournot-Nash equilibria in continuum games with non-ordered preferences," Journal of Economic Theory, Elsevier, vol. 140(1), pages 314-327, May.
    10. Monique Florenzano, 2009. "Walras-Lindahl-Wicksell: What equilibrium concept for public goods provision ? I - The convex case," Post-Print halshs-00367867, HAL.
    11. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 51-104.
    12. Konrad Podczeck & Nicholas C. Yannelis, 2022. "Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences, without free disposal, and without compact consumption sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 413-420, April.
    13. Wei He & Nicholas C. Yannelis, 2016. "Existence of Walrasian equilibria with discontinuous, non-ordered, interdependent and price-dependent preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(3), pages 497-513, March.
    14. S. X. Li, 1998. "Cone Concavity and Multiple-Payoff Constrained n-Person Games," Journal of Optimization Theory and Applications, Springer, vol. 97(1), pages 119-149, April.
    15. Duggan, John, 2011. "General conditions for the existence of maximal elements via the uncovered set," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 755-759.
    16. Philippe Bich & Rida Laraki, 2017. "Externalities in Economies with Endogenous Sharing Rules," PSE-Ecole d'économie de Paris (Postprint) halshs-01437507, HAL.
    17. Philippe Bich & Rida Laraki, 2015. "Abstract Economies with Endogenous Sharing Rules," Documents de travail du Centre d'Economie de la Sorbonne 15058, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    18. Tian, Guoqiang, 1991. "Implementation of the Walrasian Correspondence without Continuous, Convex, and Ordered Preferences," MPRA Paper 41298, University Library of Munich, Germany.
    19. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    20. Kelsey, David & Yalcin, Erkan, 2007. "The arbitrage pricing theorem with incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 90-105, July.

    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:ivi:wpasad:1990-02. 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: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.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.