IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00107961.html

Single-switch preferences and the Ostrogorski paradox

Author

Listed:
  • G. Laffond
  • Jean Lainé

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

Abstract

The Ostrogorski paradox refers to the possibility for a democratically chosen program involving finitely many binary decisions to be unpopular. It deals with the potential conflict arising between two majority-based choice procedures from a set of alternatives {− 1, 1}N, where N stands for the number of decisions. The first procedure is the simple majority rule applied decision-wise. In the second procedure, voters valuate programs through their symmetric distance to an ideal, and programs are compared according to the simple majority rule. This paper characterizes the preference domain (i.e., the set of ideals) which allows to avoid the paradox for any number of voters and any number of decisions. We prove that such a domain contains all those preference profiles sharing a property called single-switchness, of which we provide alternative interpretations.

Suggested Citation

  • G. Laffond & Jean Lainé, 2006. "Single-switch preferences and the Ostrogorski paradox," Post-Print halshs-00107961, HAL.
    • Handle: RePEc:hal:journl:halshs-00107961
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nicolas Gabriel Andjiga & Issofa Moyouwou & Monge Kleber Kamdem Ouambo, 2017. "Avoiding Majority Dissatisfaction on a Series of Majority Decisions," Group Decision and Negotiation, Springer, vol. 26(3), pages 453-471, May.
    2. Meir Kalech & Moshe Koppel & Abraham Diskin & Eli Rohn & Inbal Roshanski, 2020. "Formation of Parties and Coalitions in Multiple Referendums," Group Decision and Negotiation, Springer, vol. 29(4), pages 723-745, August.
    3. Fatma Aslan & Hayrullah Dindar & Jean Lainé, 2023. "Correction to: When are committees of Condorcet winners Condorcet winning committees?," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 469-469, June.
    4. Courtin, Sébastien & Laruelle, Annick, 2020. "Multi-dimensional rules," Mathematical Social Sciences, Elsevier, vol. 103(C), pages 1-7.
    5. Dietrich, Franz & List, Christian, 2010. "Majority voting on restricted domains," Journal of Economic Theory, Elsevier, vol. 145(2), pages 512-543, March.
    6. Pablo Amorós & M. Puy, 2010. "Indicators of electoral victory," Public Choice, Springer, vol. 144(1), pages 239-251, July.
    7. Gilbert Laffond & Jean Lainé, 2012. "Searching for a Compromise in Multiple Referendum," Group Decision and Negotiation, Springer, vol. 21(4), pages 551-569, July.
    8. Gilbert Laffond & Jean Lainé, 2014. "Triple-consistent social choice and the majority rule," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 784-799, July.
    9. Hayrullah Dindar & Gilbert Laffond & Jean Laine, 2017. "The strong referendum paradox," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(4), pages 1707-1731, July.
    10. Jean Lainé & Ali Ozkes & Remzi Sanver, 2016. "Hyper-stable social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 157-182, January.
    11. Gilbert Laffond & Jean Lainé, 2009. "Condorcet choice and the Ostrogorski paradox," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 317-333, February.
    12. Tuğçe Çuhadaroğlu & Jean Lainé, 2012. "Pareto efficiency in multiple referendum," Theory and Decision, Springer, vol. 72(4), pages 525-536, April.
    13. Hayrullah Dindar & Jean Lainé, 2022. "Compromise in combinatorial vote," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(1), pages 175-206, July.
    14. Hayrullah Dindar & Gilbert Laffond & Jean Lainé, 2021. "Referendum Paradox for Party-List Proportional Representation," Group Decision and Negotiation, Springer, vol. 30(1), pages 191-220, February.
    15. G. Laffond & J. Lainé, 2013. "Unanimity and the Anscombe’s paradox," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(3), pages 590-611, October.
    16. Gilbert Laffond & Jean Lainé, 2008. "The Budget-Voting Paradox," Theory and Decision, Springer, vol. 64(4), pages 447-478, June.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:hal:journl:halshs-00107961. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.