IDEAS home Printed from https://ideas.repec.org/a/spr/fuzodm/v16y2017i4d10.1007_s10700-016-9256-6.html
   My bibliography  Save this article

A consensus reaching process in the context of non-uniform ordered qualitative scales

Author

Listed:
  • José Luis García-Lapresta

    () (Universidad de Valladolid)

  • David Pérez-Román

    () (Universidad de Valladolid)

Abstract

In this paper, we consider that a group of agents judge a set of alternatives by means of an ordered qualitative scale. The scale is not assumed to be uniform, i.e., the psychological distance between adjacent linguistic terms is not necessarily always the same. In this setting, we propose how to measure the consensus in each subset of at least two agents over each subset of alternatives. We introduce a consensus reaching process where some agents may be invited to change their assessments over some alternatives in order to increase the consensus. All the steps are managed in a purely ordinal way through ordinal proximity measures.

Suggested Citation

  • José Luis García-Lapresta & David Pérez-Román, 2017. "A consensus reaching process in the context of non-uniform ordered qualitative scales," Fuzzy Optimization and Decision Making, Springer, vol. 16(4), pages 449-461, December.
  • Handle: RePEc:spr:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9256-6
    DOI: 10.1007/s10700-016-9256-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10700-016-9256-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    ---><---

    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. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137, September.
    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. Dan S. Felsenthal & Hannu Nurmi, 2016. "Two types of participation failure under nine voting methods in variable electorates," Public Choice, Springer, vol. 168(1), pages 115-135, July.
    2. Steven Brams & Richard Potthoff, 2015. "The paradox of grading systems," Public Choice, Springer, vol. 165(3), pages 193-210, December.
    3. Antonin Macé, 2017. "Voting with evaluations: characterizations of evaluative voting and range voting," Working Papers halshs-01222200, HAL.
    4. Arnold Cédrick SOH VOUTSA, 2020. "Approval Voting & Majority Judgment in Weighted Representative Democracy," THEMA Working Papers 2020-15, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    5. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 581-630, February.
    6. Dhillon, Amrita & Kotsialou, Grammateia & McBurney, Peter & Riley, Luke, 2020. "Voting over a Distributed Ledger: An interdisciplinary perspective," SocArXiv 34df5, Center for Open Science.
    7. Erdamar, Bora & Sanver, M. Remzi & Sato, Shin, 2017. "Evaluationwise strategy-proofness," Games and Economic Behavior, Elsevier, vol. 106(C), pages 227-238.
    8. Bora Erdamar & José Luis Garcia-Lapresta & David Pérez-Roman & Remzi Sanver, 2012. "Measuring consensus in a preference-approval context," Working Papers hal-00681297, HAL.
    9. Michel Balinski & Rida Laraki, 2015. "Majority Measures," Working Papers hal-01137173, HAL.
    10. Vincent Merlin & İpek Özkal Sanver & M. Remzi Sanver, 2019. "Compromise Rules Revisited," Group Decision and Negotiation, Springer, vol. 28(1), pages 63-78, February.
    11. Michel Balinski & Rida Laraki, 2020. "Majority judgment vs. majority rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 429-461, March.
    12. Adrien Fabre, 0. "Tie-breaking the highest median: alternatives to the majority judgment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 0, pages 1-24.
    13. Edurne Falcó & Madhuparna Karmokar & Souvik Roy & Ton Storcken, 0. "On update monotone, continuous, and consistent collective evaluation rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 0, pages 1-18.
    14. Dhillon, Amrita & Kotsialou, Grammateia & McBurney, Peter & Riley, Luke, 2019. "Introduction to Voting and the Blockchain: some open questions for economists," CAGE Online Working Paper Series 416, Competitive Advantage in the Global Economy (CAGE).
    15. Vincent Pons & Clémence Tricaud, 2019. "The Large Effects of a Small Win: How Past Rankings Shape the Behavior of Voters and Candidates," NBER Working Papers 26599, National Bureau of Economic Research, Inc.
    16. Macé, Antonin, 2018. "Voting with evaluations: Characterizations of evaluative voting and range voting," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 10-17.
    17. Franz Dietrich & Kai Spiekermann, 2020. "Social Epistemology," Post-Print halshs-02431971, HAL.
    18. Michel Balinski & Rida Laraki, 2018. "Majority Judgment vs. Approval Voting," Working Papers 2018-15, Center for Research in Economics and Statistics.
    19. Aleksei Y. Kondratev & Alexander S. Nesterov, 2020. "Measuring majority power and veto power of voting rules," Public Choice, Springer, vol. 183(1), pages 187-210, April.
    20. Manzoor Ahmad Zahid & Harrie de Swart, 2015. "Experimental Results about Linguistic Voting," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(3), pages 184-201, December.

    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:fuzodm:v:16:y:2017:i:4:d:10.1007_s10700-016-9256-6. 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: (Sonal Shukla) or (Springer Nature Abstracting and Indexing). General contact details of provider: http://www.springer.com .

    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.