IDEAS home Printed from https://ideas.repec.org/p/hit/hituec/674.html
   My bibliography  Save this paper

Collective Mistakes: Intuition Aggregation for a Trick Question under Strategic Voting

Author

Listed:
  • Tajika, Tomoya

Abstract

We consider a situation in which voters collectively answer a binary question. Each voter obtains an intuition about the answer to the question, but whether the question is intuitive or counterintuitive is not known to any voter. If each voter receives an independent signal on whether the question is intuitive or not, the majority rule under sincere voting correctly aggregates the intuitions with a large electorate; however, it is not an equilibrium. We show that in a unique pure-strategy equilibrium with a large electorate, majority voting makes an incorrect decision with a probability that can be sufficiently close to 1.

Suggested Citation

  • Tajika, Tomoya, 2018. "Collective Mistakes: Intuition Aggregation for a Trick Question under Strategic Voting," Discussion Paper Series 674, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:hituec:674
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/29383/DP674.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Mandler, Michael, 2012. "The fragility of information aggregation in large elections," Games and Economic Behavior, Elsevier, vol. 74(1), pages 257-268.
    3. Martinelli, Cesar, 2006. "Would rational voters acquire costly information?," Journal of Economic Theory, Elsevier, vol. 129(1), pages 225-251, July.
    4. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-424, June.
    5. 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.
    6. Duggan, John & Martinelli, Cesar, 2001. "A Bayesian Model of Voting in Juries," Games and Economic Behavior, Elsevier, vol. 37(2), pages 259-294, November.
    7. 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.
    8. 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.
    9. Acharya, Avidit, 2016. "Information aggregation failure in a model of social mobility," Games and Economic Behavior, Elsevier, vol. 100(C), pages 257-272.
    10. Sourav Bhattacharya, 2013. "Preference Monotonicity and Information Aggregation in Elections," Econometrica, Econometric Society, vol. 81(3), pages 1229-1247, May.
    11. Joseph C. McMurray, 2013. "Aggregating Information by Voting: The Wisdom of the Experts versus the Wisdom of the Masses," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(1), pages 277-312.
    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. Tajika, Tomoya, 2022. "Voting on tricky questions," Games and Economic Behavior, Elsevier, vol. 132(C), pages 380-389.
    2. 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.
    3. Paulo Barelli & Sourav Bhattacharya & Lucas Siga, 2022. "Full Information Equivalence in Large Elections," Econometrica, Econometric Society, vol. 90(5), pages 2161-2185, September.
    4. Laurent Bouton & Aniol Llorente-Saguer & Antonin Macé & Dimitrios Xefteris, 2021. "Voting Rights, Agenda Control and Information Aggregation," NBER Working Papers 29005, National Bureau of Economic Research, Inc.
    5. 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.
    6. Svetlana Kosterina, 2023. "Information structures and information aggregation in threshold equilibria in elections," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 493-522, February.
    7. Prato, Carlo & Wolton, Stephane, 2022. "Wisdom of the crowd? Information aggregation in representative democracy," Games and Economic Behavior, Elsevier, vol. 135(C), pages 86-95.
    8. Tomoya Tajika, 2021. "Polarization and inefficient information aggregation under strategic voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(1), pages 67-100, January.
    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. Bouton, Laurent & Llorente-Saguer, Aniol & Malherbe, Frédéric, 2017. "Unanimous rules in the laboratory," Games and Economic Behavior, Elsevier, vol. 102(C), pages 179-198.
    12. Ekmekci, Mehmet & Lauermann, Stephan, 2022. "Information aggregation in Poisson-elections," Theoretical Economics, Econometric Society, vol. 17(1), January.
    13. ,, 2016. "Condorcet meets Ellsberg," Theoretical Economics, Econometric Society, vol. 11(3), September.
    14. Gerling, Kerstin & Gruner, Hans Peter & Kiel, Alexandra & Schulte, Elisabeth, 2005. "Information acquisition and decision making in committees: A survey," European Journal of Political Economy, Elsevier, vol. 21(3), pages 563-597, September.
    15. Acharya, Avidit, 2016. "Information aggregation failure in a model of social mobility," Games and Economic Behavior, Elsevier, vol. 100(C), pages 257-272.
    16. Krishna, Vijay & Morgan, John, 2012. "Voluntary voting: Costs and benefits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2083-2123.
    17. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    18. Paolo Balduzzi & Clara Graziano & Annalisa Luporini, 2014. "Voting in small committees," Journal of Economics, Springer, vol. 111(1), pages 69-95, February.
    19. Sourav Bhattacharya & Paulo Barelli, 2013. "A Possibility Theorem on Information Aggregation in Elections," Working Paper 515, Department of Economics, University of Pittsburgh, revised Jan 2013.
    20. Laurent Bouton & Aniol Llorente-Saguer & Frédéric Malherbe, 2014. "Get Rid of Unanimity: The Superiority of Majority Rule with Veto Power," NBER Working Papers 20417, National Bureau of Economic Research, Inc.

    More about this item

    Keywords

    Information aggregation; inefficiency; counterintuitive question; strategic voting;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    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:hit:hituec:674. 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: Hiromichi Miyake (email available below). General contact details of provider: https://edirc.repec.org/data/iehitjp.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.