IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v53y2019i2d10.1007_s00355-019-01186-6.html
   My bibliography  Save this article

Truth-tracking judgment aggregation over interconnected issues

Author

Listed:
  • Irem Bozbay

    (University of Surrey)

Abstract

This paper analyzes the problem of aggregating individual judgments over two interconnected issues. Voters share a common preference which is state-dependent, but they hold private information about what the state might be. I assume strategic voting in a Bayesian voting game setting and I want to determine voting rules which induce an efficient Bayesian Nash equilibrium in truthful strategies, hence lead to collective judgments that efficiently incorporate all private information. Interconnectedness may lead to private information that is inconsistent with the state, which leads to the impossibility of efficient information aggregation. Once I introduce the possibility of abstention, the negative conclusion no longer prevails and there is always a voting rule which aggregates information efficiently. I obtain a similar positive result when I rule out the possibility of inconsistent private information. I analyze the situations in which such rules exist whenever necessary, as well as the nature of these rules.

Suggested Citation

  • Irem Bozbay, 2019. "Truth-tracking judgment aggregation over interconnected issues," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(2), pages 337-370, August.
    • Handle: RePEc:spr:sochwe:v:53:y:2019:i:2:d:10.1007_s00355-019-01186-6
    DOI: 10.1007/s00355-019-01186-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-019-01186-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00355-019-01186-6?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. Austen-Smith, David & Banks, Jeffrey S., 1996. "Information Aggregation, Rationality, and the Condorcet Jury Theorem," American Political Science Review, Cambridge University Press, vol. 90(1), pages 34-45, March.
    2. 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.
    3. 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.
    4. Dietrich, Franz, 2016. "Judgment aggregation and agenda manipulation," Games and Economic Behavior, Elsevier, vol. 95(C), pages 113-136.
    5. de Clippel, Geoffroy & Eliaz, Kfir, 2015. "Premise-based versus outcome-based information aggregation," Games and Economic Behavior, Elsevier, vol. 89(C), pages 34-42.
    6. Timothy Feddersen & Wolfgang Pesendorfer, 1997. "Voting Behavior and Information Aggregation in Elections with Private Information," Econometrica, Econometric Society, vol. 65(5), pages 1029-1058, September.
    7. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
    8. Bozbay, Irem & Peters, Hans, 2019. "Information aggregation with a continuum of types," Economics Letters, Elsevier, vol. 180(C), pages 46-49.
    9. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
    10. McLennan, Andrew, 1998. "Consequences of the Condorcet Jury Theorem for Beneficial Information Aggregation by Rational Agents," American Political Science Review, Cambridge University Press, vol. 92(2), pages 413-418, June.
    11. Blumrosen, Liad & Feldman, Michal, 2013. "Mechanism design with a restricted action space," Games and Economic Behavior, Elsevier, vol. 82(C), pages 424-443.
    12. Austen-Smith, David & Feddersen, Timothy J., 2006. "Deliberation, Preference Uncertainty, and Voting Rules," American Political Science Review, Cambridge University Press, vol. 100(2), pages 209-217, May.
    13. Christian List, 2005. "The probability of inconsistencies in complex collective decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(1), pages 3-32, May.
    14. David S. Ahn & Santiago Oliveros, 2012. "Combinatorial Voting," Econometrica, Econometric Society, vol. 80(1), pages 89-141, January.
    15. Timothy Van Zandt, 2007. "Communication Complexity and Mechanism Design," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 543-553, 04-05.
    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. Aureli Alabert & Mercè Farré, 2022. "The doctrinal paradox: comparison of decision rules in a probabilistic framework," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(4), pages 863-895, May.
    2. Aureli Alabert & Mercè Farré & Rubén Montes, 2023. "Optimal Decision Rules for the Discursive Dilemma," Group Decision and Negotiation, Springer, vol. 32(4), pages 889-923, August.

    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. Irem Bozbay, 2015. "Truth-Tracking Judgment Aggregation Over Interconnected Issues," School of Economics Discussion Papers 0916, School of Economics, University of Surrey.
    2. 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.
    3. Bozbay, Irem & Peters, Hans, 2019. "Information aggregation with a continuum of types," Economics Letters, Elsevier, vol. 180(C), pages 46-49.
    4. Geoffroy de Clippel & Kfir Eliaz, 2012. "Premise-Based versus Outcome-Based Information Aggregation," Working Papers 2012-10, Brown University, Department of Economics.
    5. de Clippel, Geoffroy & Eliaz, Kfir, 2015. "Premise-based versus outcome-based information aggregation," Games and Economic Behavior, Elsevier, vol. 89(C), pages 34-42.
    6. Ahn, David S. & Oliveros, Santiago, 2014. "The Condorcet Jur(ies) Theorem," Journal of Economic Theory, Elsevier, vol. 150(C), pages 841-851.
    7. repec:esx:essedp:743 is not listed on IDEAS
    8. 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.
    9. Gratton, Gabriele, 2014. "Pandering and electoral competition," Games and Economic Behavior, Elsevier, vol. 84(C), pages 163-179.
    10. Meirowitz, Adam & Pi, Shaoting, 2022. "Voting and trading: The shareholder’s dilemma," Journal of Financial Economics, Elsevier, vol. 146(3), pages 1073-1096.
    11. Franz Dietrich, 2014. "Scoring rules for judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 873-911, April.
    12. Bouton, Laurent & Llorente-Saguer, Aniol & Malherbe, Frédéric, 2017. "Unanimous rules in the laboratory," Games and Economic Behavior, Elsevier, vol. 102(C), pages 179-198.
    13. Bouton, Laurent & Castanheira, Micael & Llorente-Saguer, Aniol, 2016. "Divided majority and information aggregation: Theory and experiment," Journal of Public Economics, Elsevier, vol. 134(C), pages 114-128.
    14. Ruth Ben-Yashar & Leif Danziger, 2014. "On the optimal composition of committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 973-980, December.
    15. Buechel, Berno & Mechtenberg, Lydia, 2019. "The swing voter's curse in social networks," Games and Economic Behavior, Elsevier, vol. 118(C), pages 241-268.
    16. Aureli Alabert & Mercè Farré & Rubén Montes, 2023. "Optimal Decision Rules for the Discursive Dilemma," Group Decision and Negotiation, Springer, vol. 32(4), pages 889-923, August.
    17. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Paper 325, Department of Economics, University of Pittsburgh, revised Dec 2008.
    18. Ding, Huihui & Pivato, Marcus, 2021. "Deliberation and epistemic democracy," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 138-167.
    19. Jianan Wang, 2021. "Evidence and fully revealing deliberation with non-consequentialist jurors," Public Choice, Springer, vol. 189(3), pages 515-531, December.
    20. Dhillon, Amrita & Kotsialou, Grammateia & Xefteris, Dimitris, 2021. "Information Aggregation with Delegation of Votes," SocArXiv ubk7p, Center for Open Science.
    21. Cesar Martinelli, 2011. "Ignorance and Naivete in Large Elections," Working Papers 1107, Centro de Investigacion Economica, ITAM.

    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:spr:sochwe:v:53:y:2019:i:2:d:10.1007_s00355-019-01186-6. 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.