IDEAS home Printed from https://ideas.repec.org/p/tiu/tiucen/71885704-e24b-43ef-a029-8f33e02033a4.html
   My bibliography  Save this paper

On Two New Social Choice Correspondences

Author

Listed:
  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

  • van den Brink, J.R.

    (Tilburg University, Center For Economic Research)

  • Levinsky, R.
  • Slikker, M.

    (Tilburg University, Center For Economic Research)

Abstract

Preferences of a set of n individuals over a set of alternatives can be represented by a preference profile being an n-tuple of preference relations over these alternatives.A social choice correspondence assigns to every preference profile a subset of alternatives that can be viewed as the `most prefered' alternatives by the society consisting of all individuals.Two new social choice correspondences are introduced and analyzed.Both are Pareto optimal and are refinements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament.One of them even is such a refinement for arbitrary preference profiles.

Suggested Citation

  • Borm, P.E.M. & van den Brink, J.R. & Levinsky, R. & Slikker, M., 2000. "On Two New Social Choice Correspondences," Discussion Paper 2000-125, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:71885704-e24b-43ef-a029-8f33e02033a4
    as

    Download full text from publisher

    File URL: https://pure.uvt.nl/portal/files/537883/125.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gernot Grabher & Walter W. Powell (ed.), 2004. "Networks," Books, Edward Elgar Publishing, volume 0, number 2771, April.
    2. René van den Brink & Peter Borm, 2002. "Digraph Competitions and Cooperative Games," Theory and Decision, Springer, pages 327-342.
    3. Laffond G. & Laslier, J. F. & Le Breton, M., 1996. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 59-59, February.
    4. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    5. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Measuring the Power of Nodes in Digraphs," Tinbergen Institute Discussion Papers 01-096/1, Tinbergen Institute.
    6. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    7. P. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman, 2001. "Measuring the Power of Nodes in Digraphs," Tinbergen Institute Discussion Papers 01-096/1, Tinbergen Institute.
    8. Peter Borm & René van den Brink & Marco Slikker, 2002. "An Iterative Procedure for Evaluating Digraph Competitions," Annals of Operations Research, Springer, vol. 109(1), pages 61-75, January.
    9. Gilbert Laffond & Jean Lainé & Jean-François Laslier, 1996. "Composition-consistent tournament solutions and social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 75-93, January.
    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. Ayllon Aragon, Grisel, 2013. "On Weak Condorcet Winners: Existence and Uniqueness," MPRA Paper 53272, University Library of Munich, Germany.
    2. René van den Brink & Peter Borm, 2002. "Digraph Competitions and Cooperative Games," Theory and Decision, Springer, pages 327-342.
    3. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2002. "Characterizations of Solutions in Digraph Competitions," Discussion Paper 2002-113, Tilburg University, Center for Economic Research.
    4. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2003. "On a compromise social choice correspondence," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, pages 311-324.
    5. Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, pages 445-462.
    6. Quant, M. & Borm, P.E.M. & Reijnierse, J.H. & Voorneveld, M., 2006. "On the Beta measure for digraph competitions," Other publications TiSEM 214590f7-5605-42d6-8353-6, Tilburg University, School of Economics and Management.
    7. Marieke Quant & Peter Borm & Hans Reijnierse & Mark Voorneveld, 2006. "A note on theβ-measure for digraph competitions," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 167-176, June.

    More about this item

    Keywords

    preferences; public choice;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:tiu:tiucen:71885704-e24b-43ef-a029-8f33e02033a4. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman). General contact details of provider: http://center.uvt.nl .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.