IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v9y2000i6d10.1023_a1008782230869.html
   My bibliography  Save this article

The Minimal Quota for a Complete Majority Relation to be Transitive

Author

Listed:
  • Laurent Vidu

    (Université de Caen
    Universität Bielefeld)

Abstract

In this paper, we show that 2/3 is the minimal quota that guarantees the transitivity of a complete majority relation independently of the number of candidates.

Suggested Citation

  • Laurent Vidu, 2000. "The Minimal Quota for a Complete Majority Relation to be Transitive," Group Decision and Negotiation, Springer, vol. 9(6), pages 531-534, November.
  • Handle: RePEc:spr:grdene:v:9:y:2000:i:6:d:10.1023_a:1008782230869
    DOI: 10.1023/A:1008782230869
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1023/A:1008782230869
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1023/A:1008782230869?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Donald G. Saari, 1997. "The generic existence of a core for q -rules (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 219-260.
    2. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    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. Mathieu Martin & Vincent Merlin, 2006. "On The Chacteristic Numbers Of Voting Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 643-654.
    2. de Groot Ruiz, Adrian & Ramer, Roald & Schram, Arthur, 2016. "Formal versus informal legislative bargaining," Games and Economic Behavior, Elsevier, vol. 96(C), pages 1-17.
    3. Bezalel Peleg & Hans Peters, 2010. "Consistent voting systems with a continuum of voters," Studies in Choice and Welfare, in: Strategic Social Choice, chapter 0, pages 123-145, Springer.
    4. Bezalel Peleg & Ron Holzman, 2017. "Representations of Political Power Structures by Strategically Stable Game Forms: A Survey," Games, MDPI, vol. 8(4), pages 1-17, October.
    5. 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.
    6. Peleg, Bezalel & Peters, Hans, 2017. "Choosing k from m: Feasible elimination procedures reconsidered," Games and Economic Behavior, Elsevier, vol. 103(C), pages 254-261.
    7. Hannu Nurmi & Tommi Meskanen, 2000. "Voting Paradoxes and MCDM," Group Decision and Negotiation, Springer, vol. 9(4), pages 297-313, July.
    8. Maria Gallego & Norman Schofield & Kevin McAlister & Jee Jeon, 2014. "The variable choice set logit model applied to the 2004 Canadian election," Public Choice, Springer, vol. 158(3), pages 427-463, March.
    9. Ermolov, Andrew N., 1995. "Coalitional manipulation in a quasilinear economy," Games and Economic Behavior, Elsevier, vol. 8(2), pages 349-363.
    10. M. Puy, 2013. "Stable coalition governments: the case of three political parties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(1), pages 65-87, January.
    11. Momo Kenfack, Joseph Armel & Pongou, Roland & Tchantcho, Bertrand, 2014. "The stability of decision making in committees: The one-core," Economics Letters, Elsevier, vol. 122(3), pages 390-395.
    12. Mathieu Martin, 2002. "On the emptiness of the stability set of order d," Theory and Decision, Springer, vol. 52(4), pages 313-326, June.
    13. Saptarshi Mukherjee & Hans Peters, 2022. "Self-implementation of social choice correspondences in Nash equilibrium," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(4), pages 1009-1028, November.
    14. Gallego, Maria & Schofield, Norman, 2017. "Modeling the effect of campaign advertising on US presidential elections when differences across states matter," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 160-181.
    15. Hervé Crès & M. Utku Ünver, 2010. "Ideology and Existence of 50%-Majority Equilibria in Multidimensional Spatial Voting Models," Journal of Theoretical Politics, , vol. 22(4), pages 431-444, October.
    16. Gardner Roy, 1979. "Onymous consistent voting systems," CEPREMAP Working Papers (Couverture Orange) 7917, CEPREMAP.
    17. Bertrand Tchantcho & Lawrence Diffo Lambo & Roland Pongou & Joël Moulen, 2010. "On the equilibrium of voting games with abstention and several levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(3), pages 379-396, March.
    18. Günther, Laurenz & Günther, Laurenz, 2022. "Lack of Substantive Representation in Europe: Causes and Consequences," VfS Annual Conference 2022 (Basel): Big Data in Economics 264114, Verein für Socialpolitik / German Economic Association.
    19. Martin, M., 1998. "Quota games and stability set of order d," Economics Letters, Elsevier, vol. 59(2), pages 145-151, May.
    20. Moulin, Herve, 1981. "Prudence versus sophistication in voting strategy," Journal of Economic Theory, Elsevier, vol. 24(3), pages 398-412, June.

    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:spr:grdene:v:9:y:2000:i:6:d:10.1023_a:1008782230869. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.