IDEAS home Printed from https://ideas.repec.org/p/huj/dispap/dp703.html
   My bibliography  Save this paper

Sequential aggregation judgments: Logical derivation of relevance relation

Author

Listed:
  • Bezalel Peleg
  • Shmuel Zamir

Abstract

Following Dietrich (2014) we consider using choice by plurality voting (CPV) as a judgment aggregation correspondence. We notice that a result of Roberts (1991) implies that CPV is axiomatically characterized by anonymity, neutrality, unanimity, and (Young’s) reinforcement. Following List (2004) and Dietrich (2015) we construct a sequential voting procedure of judgement aggregation which satisfies rationality, anonymity, unanimity, and independence of irrelevant propositions (with respect to a relevance correspondence that does not satisfy transitivity). We offer a tentative characterization for this aggregation procedure

Suggested Citation

  • Bezalel Peleg & Shmuel Zamir, 2016. "Sequential aggregation judgments: Logical derivation of relevance relation," Discussion Paper Series dp703, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp703
    as

    Download full text from publisher

    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp703.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Franz Dietrich & Christian List, 2007. "Arrow’s theorem in judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(1), pages 19-33, July.
    2. Dokow, Elad & Holzman, Ron, 2010. "Aggregation of binary evaluations," Journal of Economic Theory, Elsevier, vol. 145(2), pages 495-511, March.
    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. Maya Bar-Hillel & Cass R. Sunstein, 2019. "Baffling bathrooms: On navigability and choice architecture," Discussion Paper Series dp726, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.

    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. List, Christian & Polak, Ben, 2010. "Introduction to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 441-466, March.
    2. Franz Dietrich & Christian List, 2019. "The relation between degrees of belief and binary beliefs: A general impossibility theorem," Documents de travail du Centre d'Economie de la Sorbonne 19001, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Franz Dietrich & Christian List, 2019. "The relation between degrees of belief and binary beliefs: A general impossibility theorem," Documents de travail du Centre d'Economie de la Sorbonne 19001, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Dietrich, Franz, 2016. "Judgment aggregation and agenda manipulation," Games and Economic Behavior, Elsevier, vol. 95(C), pages 113-136.
    5. Frederik S. Herzberg, 2013. "The (im)possibility of collective risk measurement: Arrovian aggregation of variational preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 69-92, May.
    6. Dietrich, Franz & Mongin, Philippe, 2010. "The premiss-based approach to judgment aggregation," Journal of Economic Theory, Elsevier, vol. 145(2), pages 562-582, March.
    7. Duddy, Conal & Piggins, Ashley, 2013. "Many-valued judgment aggregation: Characterizing the possibility/impossibility boundary," Journal of Economic Theory, Elsevier, vol. 148(2), pages 793-805.
    8. Dietrich, Franz, 2015. "Aggregation theory and the relevance of some issues to others," Journal of Economic Theory, Elsevier, vol. 160(C), pages 463-493.
    9. Peleg, Bezalel & Zamir, Shmuel, 2018. "Judgments aggregation by a sequential majority procedure," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 37-46.
    10. Dietrich, Franz & List, Christian, 2014. "Probabilistic Opinion Pooling," MPRA Paper 54806, University Library of Munich, Germany.
    11. Dietrich, Franz & List, Christian, 2010. "Majority voting on restricted domains," Journal of Economic Theory, Elsevier, vol. 145(2), pages 512-543, March.
    12. Bezalel Peleg & Shmuel Zamir, 2017. "Sequential aggregation of judgments," Discussion Paper Series dp708, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    13. Bozbay, İrem & Dietrich, Franz & Peters, Hans, 2014. "Judgment aggregation in search for the truth," Games and Economic Behavior, Elsevier, vol. 87(C), pages 571-590.
    14. Franz Dietrich & Kai Spiekermann, 2021. "Social Epistemology," Post-Print halshs-02431971, HAL.
    15. Conal Duddy & Ashley Piggins, 2012. "A measure of distance between judgment sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 855-867, October.
    16. repec:hal:pseose:halshs-01249513 is not listed on IDEAS
    17. Dietrich, Franz, 2012. "Judgment aggregation and the discursive dilemma," MPRA Paper 36772, University Library of Munich, Germany.
    18. Masaki Miyashita, 2021. "Premise-based vs conclusion-based collective choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 361-385, August.
    19. Dietrich, Franz & List, Christian, 2007. "Strategy-Proof Judgment Aggregation," Economics and Philosophy, Cambridge University Press, vol. 23(3), pages 269-300, November.
    20. Franz Dietrich & Christian List, 2024. "The impossibility of non-manipulable probability aggregation," Documents de travail du Centre d'Economie de la Sorbonne 24001, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    21. Franz Dietrich & Christian List, 2017. "Probabilistic opinion pooling generalized. Part one: general agendas," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(4), pages 747-786, April.

    More about this item

    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:huj:dispap:dp703. 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: Michael Simkin (email available below). General contact details of provider: https://edirc.repec.org/data/crihuil.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.