IDEAS home Printed from https://ideas.repec.org/p/unm/umagsb/2017032.html
   My bibliography  Save this paper

Information aggregation with continuum of types

Author

Listed:
  • Bozbay, Irem
  • Peters, Hans

    (QE Math. Economics & Game Theory, RS: GSBE ETBC)

Abstract

We consider an information aggregation problem where a group of voters wants to make a `yes' or `no' decision over a single issue. Voters have state-dependent common preferences, but hold possibly conflicting private information about the state in the form of types (signals). We assume that types are distributed from a state-dependent continuous distribution. In this model, Bayesian equilibrium voting and efficient voting coincide, and informative voting means that a voter votes in favor of the issue if and only if the signal exceeds a cut-point level. Our main result is an answer, in the form of a condition on the parameters of the model, to the question when informative voting is efficient.

Suggested Citation

  • Bozbay, Irem & Peters, Hans, 2017. "Information aggregation with continuum of types," Research Memorandum 032, Maastricht University, Graduate School of Business and Economics (GSBE).
  • Handle: RePEc:unm:umagsb:2017032
    DOI: 10.26481/umagsb.2017032
    as

    Download full text from publisher

    File URL: https://cris.maastrichtuniversity.nl/ws/files/17747500/RM17032.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.26481/umagsb.2017032?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
    ---><---

    Other versions of this item:

    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. 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.
    4. Duggan, John & Martinelli, Cesar, 2001. "A Bayesian Model of Voting in Juries," Games and Economic Behavior, Elsevier, vol. 37(2), pages 259-294, November.
    5. Bozbay, Irem & Peters, Hans, 2019. "Information aggregation with a continuum of types," Economics Letters, Elsevier, vol. 180(C), pages 46-49.
    6. Yaron Azrieli & Semin Kim, 2014. "Pareto Efficiency And Weighted Majority Rules," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 1067-1088, November.
    7. Schmitz, Patrick W. & Tröger, Thomas, 2012. "The (sub-)optimality of the majority rule," Games and Economic Behavior, Elsevier, vol. 74(2), pages 651-665.
    8. Adam Meirowitz, 2002. "Informative voting and condorcet jury theorems with a continuum of types," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(1), pages 219-236.
    9. 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.
    10. 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.
    11. Coughlan, Peter J., 2000. "In Defense of Unanimous Jury Verdicts: Mistrials, Communication, and Strategic Voting," American Political Science Review, Cambridge University Press, vol. 94(2), pages 375-393, June.
    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. Irem Bozbay, 2015. "Truth-Tracking Judgment Aggregation Over Interconnected Issues," School of Economics Discussion Papers 0916, School of Economics, University of Surrey.
    2. 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.
    3. Bozbay, Irem & Peters, Hans, 2019. "Information aggregation with a continuum of types," Economics Letters, Elsevier, vol. 180(C), pages 46-49.

    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, 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.
    2. Irem Bozbay, 2015. "Truth-Tracking Judgment Aggregation Over Interconnected Issues," School of Economics Discussion Papers 0916, School of Economics, University of Surrey.
    3. Patrick Hummel, 2012. "Deliberation in large juries with diverse preferences," Public Choice, Springer, vol. 150(3), pages 595-608, March.
    4. Gratton, Gabriele, 2014. "Pandering and electoral competition," Games and Economic Behavior, Elsevier, vol. 84(C), pages 163-179.
    5. Kojima, Fuhito & Takagi, Yuki, 2010. "A theory of hung juries and informative voting," Games and Economic Behavior, Elsevier, vol. 69(2), pages 498-502, July.
    6. 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.
    7. Meirowitz, Adam, 2004. "In Defense of Exclusionary Deliberation: Communication and Voting with Private Beliefs and Values," Papers 04-06-2004, Princeton University, Research Program in Political Economy.
    8. Mengel, Friederike & Rivas, Javier, 2017. "Common value elections with private information and informative priors: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 104(C), pages 190-221.
    9. repec:pit:wpaper:325 is not listed on IDEAS
    10. Meirowitz, Adam, 2005. "Deliberative Democracy or Market Democracy: Designing Institutions to Aggregate Preferences and Information," Papers 03-28-2005, Princeton University, Research Program in Political Economy.
    11. Kim, Jaehoon & Fey, Mark, 2007. "The swing voter's curse with adversarial preferences," Journal of Economic Theory, Elsevier, vol. 135(1), pages 236-252, July.
    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. Philip Bond & Hülya Eraslan, 2010. "Strategic Voting over Strategic Proposals," Review of Economic Studies, Oxford University Press, vol. 77(2), pages 459-490.
    15. Jianan Wang, 2021. "Evidence and fully revealing deliberation with non-consequentialist jurors," Public Choice, Springer, vol. 189(3), pages 515-531, December.
    16. Buechel, Berno & Mechtenberg, Lydia, 2019. "The swing voter's curse in social networks," Games and Economic Behavior, Elsevier, vol. 118(C), pages 241-268.
    17. Yun Wang, 2015. "Bayesian Persuasion with Multiple Receivers," Working Papers 2015-03-24, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    18. Liu, Shuo, 2019. "Voting with public information," Games and Economic Behavior, Elsevier, vol. 113(C), pages 694-719.
    19. Iaryczower, Matias & Lewis, Garrett & Shum, Matthew, 2013. "To elect or to appoint? Bias, information, and responsiveness of bureaucrats and politicians," Journal of Public Economics, Elsevier, vol. 97(C), pages 230-244.
    20. Adam Meirowitz, 2007. "In Defense of Exclusionary Deliberation: Communication and Voting with Private Beliefs and Values," Journal of Theoretical Politics, , vol. 19(3), pages 301-327, July.
    21. Tajika, Tomoya, 2022. "Voting on tricky questions," Games and Economic Behavior, Elsevier, vol. 132(C), pages 380-389.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:unm:umagsb:2017032. 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: . General contact details of provider: https://edirc.repec.org/data/meteonl.html .

    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: Andrea Willems or Leonne Portz (email available below). General contact details of provider: https://edirc.repec.org/data/meteonl.html .

    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.