IDEAS home Printed from https://ideas.repec.org/a/qua/journl/v1y2004i0p17-23.html
   My bibliography  Save this article

A numerical representation of acyclic preferences when non-comparability and indifference are concepts with different meaning

Author

Listed:
  • Leobardo Plata-Perez

    (Universidad Autonoma de San Luis Potosi)

Abstract

The use of utility functions implies transitivity and completeness of preferences. Empirical evidence shows that these conditions fail in several individual cases. Acyclicity of preferences represents an interesting weakness of preference rationality, because it admits intransitivity of indifference and noncomparability between some alternatives. Utility correspondences were introduced by Subiza (1994) as a numerical representations of acyclic preferences. Subiza's framework is modified in this paper in order to obtain numerical representations in which we can interpret non-comparability and indifference as concepts with different meaning. Both concepts have been considered with the same meaning in the standard presentations that assume strict preference as a primitive concept.

Suggested Citation

  • Leobardo Plata-Perez, 2004. "A numerical representation of acyclic preferences when non-comparability and indifference are concepts with different meaning," EconoQuantum, Revista de Economia y Finanzas, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 1(0), pages 17-23, Enero - J.
    • Handle: RePEc:qua:journl:v:1:y:2004:i:0:p:17-23
    as

    Download full text from publisher

    File URL: http://econoquantum.cucea.udg.mx/index.php/EQ/article/view/179
    Download Restriction: no
    File URL: http://econoquantum.cucea.udg.mx/index.php/EQ/issue/view/27
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Avraham Beja & Itzhak Gilboa, 1989. "Numerical Representations of Imperfectly Ordered Preferences (A Unified Geometric Exposition," Discussion Papers 836, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    2. Begoña Subiza Martínez, 1993. "Numerical Representation Of Acyclic Preferences," Working Papers. Serie AD 1993-09, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    3. Pedro Uribe, 1996. "Consumidores con preferencias no ordenadas," Estudios Económicos, El Colegio de México, Centro de Estudios Económicos, vol. 11(1), pages 55-76.
    Full references (including those not matched with items on IDEAS)

    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. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00084390, HAL.
    2. Pawel Dziewulski, 2016. "Eliciting the just-noticeable difference," Economics Series Working Papers 798, University of Oxford, Department of Economics.
    3. José Alcalde, 1994. "Exchange-proofness or divorce-proofness? Stability in one-sided matching markets," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 275-287, December.
    4. Dziewulski, Paweł, 2020. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency index," Journal of Economic Theory, Elsevier, vol. 188(C).
    5. Argenziano, Rossella & Gilboa, Itzhak, 2017. "Psychophysical foundations of the Cobb–Douglas utility function," Economics Letters, Elsevier, vol. 157(C), pages 21-23.
    6. Xiaosheng Mu, 2021. "Sequential Choice with Incomplete Preferences," Working Papers 2021-35, Princeton University. Economics Department..
    7. Denis Bouyssou & Marc Pirlot, 2020. "Unit representation of semiorders II: The general case," Working Papers hal-02918017, HAL.
    8. Gilboa, Itzhak & Lapson, Robert, 1995. "Aggregation of Semiorders: Intransitive Indifference Makes a Difference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 109-126, January.
    9. Xiaosheng Mu, 2019. "Amendment Voting with Incomplete Preferences," Working Papers 2019-29, Princeton University. Economics Department..
    10. Martín Browning, 1993. "Dual approaches to utility," Working Papers. Serie AD 1993-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-03280649, HAL.
    12. Pedro Uribe, 2004. "Oligopolio, rendimientos crecientes y regulacion," EconoQuantum, Revista de Economia y Finanzas, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 1(0), pages 7-16, Enero - J.
    13. Abrísqueta, Francisco J. & Candeal, Juan C. & Induráin, Esteban & Zudaire, Margarita, 2009. "Scott-Suppes representability of semiorders: Internal conditions," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 245-261, March.
    14. Denis Bouyssou & Marc Pirlot, 2021. "Unit representation of semiorders I: Countable sets," Post-Print hal-02918005, HAL.
    15. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2005. "A simple test of Richter-rationality," Post-Print halshs-00084390, HAL.
    16. Denis Bouyssou & Marc Pirlot, 2004. "Preferences for multi-attributed alternatives: Traces, Dominance, and Numerical Representations," Post-Print hal-00004104, HAL.
    17. Denis Bouyssou & Marc Pirlot, 2020. "Unit representation of semiorders I: Countable sets," Working Papers hal-02918005, HAL.
    18. Nakamura, Yutaka, 2002. "Semimetric thresholds for finite posets," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 37-43, September.
    19. Pawel Dziewulski, 2018. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency," Economics Series Working Papers 848, University of Oxford, Department of Economics.
    20. Marc-Arthur Diaye & Michal Wong-Urdanivia, 2006. "A Simple Test of Richter-Rationality," Documents de recherche 06-01, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.

    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:qua:journl:v:1:y:2004:i:0:p:17-23. 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: Sandra Ivett Portugal Padilla (email available below). General contact details of provider: https://edirc.repec.org/data/dmudgmx.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.