IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasad/1997-19.html
   My bibliography  Save this paper

Choosing among maximals

Author

Listed:
  • Josep Enric Peris Ferrando

    (Universidad de Alicante)

  • Begoña Subiza Martínez

    (Universidad de Alicante)

Abstract

In a choice situation, it is usually assumed that the agents select the maximal elements inaccordance with their preference relation. Nevertheless, there are situations in which a selectioninside this maximal set is needed. In such a situation we can select randomly some of thesemaximal elements, or we can choose among them according to the behaviour of these maximalelements. In order to illustrate this, let´s imagine a preference relation >=, defined on a finite setA={x1,x2,...,xn}, such that x1 is indifferent to each alternative and x2 is strictly preferred to everyxi,i >=3. Both x1 and x2 are maximal elements, but we can say that x2 is a better maximalthan x1. In this paper we define selections of the set of maximal elements of a preference relationby choosing the better ones among them.

Suggested Citation

  • Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1997. "Choosing among maximals," Working Papers. Serie AD 1997-19, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:1997-19
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1997-19.pdf
    File Function: Fisrt version / Primera version, 1997
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Banerjee, Asis & Pattanaik, Prasanta K., 1996. "A note on a property of maximal sets and choice in the absence of universal comparability," Economics Letters, Elsevier, vol. 51(2), pages 191-195, May.
    2. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    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 & Josep Peris, 2000. "Choice Functions: Rationality re-Examined," Theory and Decision, Springer, vol. 48(3), pages 287-304, May.
    2. Quartieri, Federico, 2021. "Existence of maximals via right traces," MPRA Paper 107189, University Library of Munich, Germany.
    3. Joseph, Rémy-Robert, 2010. "Making choices with a binary relation: Relative choice axioms and transitive closures," European Journal of Operational Research, Elsevier, vol. 207(2), pages 865-877, December.
    4. Alcantud, José Carlos R. & Bosi, Gianni & Zuanon, Magalì, 2009. "A selection of maximal elements under non-transitive indifferences," MPRA Paper 16601, University Library of Munich, Germany.

    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. Kyle Bagwell & Garey Ramey, 1988. "Advertising and Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 59-71, Spring.
    2. Paula Corcho & José Ferreira, 2003. "Generalized externality games," Theory and Decision, Springer, vol. 54(2), pages 163-184, March.
    3. Effrosyni Diamantoudi, 2003. "Equilibrium binding agreements under diverse behavioral assumptions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 431-446, September.
    4. Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer;Society for Economic Design, vol. 8(3), pages 249-268, October.
    5. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    6. Antonio Merlo, 2005. "Whither Political Economy? Theories, Facts and Issues," PIER Working Paper Archive 05-033, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Dec 2005.
    7. Ben Golub & Yair Livne, 2010. "Strategic Random Networks," Working Papers 10-21, NET Institute.
    8. Scheufele, Gabriela & Bennett, Jeffrey W., 2010. "Ordering effects and strategic response in discrete choice experiments," Research Reports 107743, Australian National University, Environmental Economics Research Hub.
    9. Brian Hill, 2012. "Confidence in preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 273-302, July.
    10. Banks, Jeffrey S. & Duggan, John & Le Breton, Michel, 2002. "Bounds for Mixed Strategy Equilibria and the Spatial Model of Elections," Journal of Economic Theory, Elsevier, vol. 103(1), pages 88-105, March.
    11. William A. Barnett, 2000. "Which Road Leads to Stable Money Demand?," Contributions to Economic Analysis, in: The Theory of Monetary Aggregation, pages 577-592, Emerald Group Publishing Limited.
    12. Barnett, William A. & Keating, John W. & Kelly, Logan J., 2008. "Toward a bias corrected currency equivalent index," Economics Letters, Elsevier, vol. 100(3), pages 448-451, September.
    13. Klaus, Bettina, 2011. "Competition and resource sensitivity in marriage and roommate markets," Games and Economic Behavior, Elsevier, vol. 72(1), pages 172-186, May.
    14. Rodríguez-Míguez, Eva & Herrero, Carmen & Pinto-Prades, José Luis, 2004. "Using a point system in the management of waiting lists: the case of cataracts," Social Science & Medicine, Elsevier, vol. 59(3), pages 585-594, August.
    15. Jean-Pierre Tranchant, 2005. "Cooperation Breakdowns under Incomplete Property Rights," Public Economics 0506006, University Library of Munich, Germany.
    16. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    17. Bochet, Olivier & Gordon, Sidartha, 2012. "Priorities in the location of multiple public facilities," Games and Economic Behavior, Elsevier, vol. 74(1), pages 52-67.
    18. William A. Barnett & Yi Liu, 1996. "The CAPM-Extended Divisia Monetary Aggregate with Exact Tracking under Risk," Finance 9602001, University Library of Munich, Germany.
    19. Ma Isabel Rodríguez-Galiano, 2000. "Rationalizations of choice functions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(2), pages 311-326, December.
    20. Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.

    More about this item

    Keywords

    Binary relation; maximal elements;

    JEL classification:

    • 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:ivi:wpasad:1997-19. 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.