[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/the/publsh/1284.html
   My bibliography  Save this article

Condorcet meets Ellsberg

Author

Listed:
  • ,

    (Department of Economics, London School of Economics and Political Science)

Abstract
The Condorcet Jury Theorem states that given subjective expected utility maximization and common values, the equilibrium probability that the correct candidate wins goes to one as the size of the electorate goes to infinity. This paper studies strategic voting when voters have pure common values but may be ambiguity averse -- exhibit Ellsberg-type behavior -- as modeled by maxmin expected utility preferences. It provides sufficient conditions so that the equilibrium probability of the correct candidate winning the election is bounded above by one half in at least one state. As a consequence, there is no equilibrium in which information aggregates.

Suggested Citation

  • ,, 2016. "Condorcet meets Ellsberg," Theoretical Economics, Econometric Society, vol. 11(3), September.
  • Handle: RePEc:the:publsh:1284
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20160865/16170/475
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Feddersen, Timothy J. & Pesendorfer, Wolfgang, 1999. "Abstention in Elections with Asymmetric Information and Diverse Preferences," American Political Science Review, Cambridge University Press, vol. 93(2), pages 381-398, June.
    2. Larry G. Epstein & Martin Schneider, 2010. "Ambiguity and Asset Markets," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 315-346, December.
    3. Lo, Kin Chung, 1996. "Equilibrium in Beliefs under Uncertainty," Journal of Economic Theory, Elsevier, vol. 71(2), pages 443-484, November.
    4. Bade, Sophie, 2011. "Electoral competition with uncertainty averse parties," Games and Economic Behavior, Elsevier, vol. 72(1), pages 12-29, May.
    5. , & , & ,, 2006. "Optimal auctions with ambiguity," Theoretical Economics, Econometric Society, vol. 1(4), pages 411-438, December.
    6. Bose, Subir & Daripa, Arup, 2009. "A dynamic mechanism and surplus extraction under ambiguity," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2084-2114, September.
    7. 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.
    8. Scott Condie & Jayant V. Ganguli, 2011. "Ambiguity and Rational Expectations Equilibria," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 821-845.
    9. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Paper 325, Department of Economics, University of Pittsburgh, revised Dec 2008.
    10. Bodoh-Creed, Aaron L., 2012. "Ambiguous beliefs and mechanism design," Games and Economic Behavior, Elsevier, vol. 75(2), pages 518-537.
    11. Machina, Mark J, 1989. "Dynamic Consistency and Non-expected Utility Models of Choice under Uncertainty," Journal of Economic Literature, American Economic Association, vol. 27(4), pages 1622-1668, December.
    12. Lo, Kin Chung, 1999. "Extensive Form Games with Uncertainty Averse Players," Games and Economic Behavior, Elsevier, vol. 28(2), pages 256-270, August.
    13. Salo, Ahti A & Weber, Martin, 1995. "Ambiguity Aversion in First-Price Sealed-Bid Auctions," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 123-137, September.
    14. Mandler, Michael, 2012. "The fragility of information aggregation in large elections," Games and Economic Behavior, Elsevier, vol. 74(1), pages 257-268.
    15. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    16. Kin Chung Lo, 1998. "Sealed bid auctions with uncertainty averse bidders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 1-20.
    17. Feddersen, Timothy J & Pesendorfer, Wolfgang, 1996. "The Swing Voter's Curse," American Economic Review, American Economic Association, vol. 86(3), pages 408-424, June.
    18. Myerson, Roger B., 1998. "Extended Poisson Games and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 25(1), pages 111-131, October.
    19. Laurent Bouton & Micael Castanheira De Moura, 2009. "The Condorcet-Duverger Trade-Off: swing voters and voting equilibria," ULB Institutional Repository 2013/159859, ULB -- Universite Libre de Bruxelles.
    20. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    21. 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.
    22. Chen, Yan & Katuscak, Peter & Ozdenoren, Emre, 2007. "Sealed bid auctions with ambiguity: Theory and experiments," Journal of Economic Theory, Elsevier, vol. 136(1), pages 513-535, September.
    23. 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.
    24. Wit, Jorgen, 1998. "Rational Choice and the Condorcet Jury Theorem," Games and Economic Behavior, Elsevier, vol. 22(2), pages 364-376, February.
    25. Sourav Bhattacharya, 2013. "Preference Monotonicity and Information Aggregation in Elections," Econometrica, Econometric Society, vol. 81(3), pages 1229-1247, May.
    26. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    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. Ellis, Andrew, 2018. "On dynamic consistency in ambiguous games," Games and Economic Behavior, Elsevier, vol. 111(C), pages 241-249.
    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. GOERTZ, Johanna & MANIQUET, François, 2013. "Large elections with multiple alternatives: a Condorcet Jury Theorem and inefficient equilibria," LIDAM Discussion Papers CORE 2013023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    5. Evren, Özgür, 2019. "Recursive non-expected utility: Connecting ambiguity attitudes to risk preferences and the level of ambiguity," Games and Economic Behavior, Elsevier, vol. 114(C), pages 285-307.
    6. Johanna M. M. Goertz, 2019. "A Condorcet Jury Theorem for Large Poisson Elections with Multiple Alternatives," Games, MDPI, vol. 11(1), pages 1-12, December.
    7. Ekmekci, Mehmet & Lauermann, Stephan, 2022. "Information aggregation in Poisson-elections," Theoretical Economics, Econometric Society, vol. 17(1), January.
    8. Lang, Matthias & Wambach, Achim, 2013. "The fog of fraud – Mitigating fraud by strategic ambiguity," Games and Economic Behavior, Elsevier, vol. 81(C), pages 255-275.
    9. Mandler, Michael, 2012. "The fragility of information aggregation in large elections," Games and Economic Behavior, Elsevier, vol. 74(1), pages 257-268.
    10. Goertz, Johanna M.M. & Maniquet, François, 2014. "Condorcet Jury Theorem: An example in which informative voting is rational but leads to inefficient information aggregation," Economics Letters, Elsevier, vol. 125(1), pages 25-28.
    11. Sourav Bhattacharya, 2006. "Preference Monotonicity and Information Aggregation in Elections," Working Paper 325, Department of Economics, University of Pittsburgh, revised Dec 2008.
    12. 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.
    13. Krishna, Vijay & Morgan, John, 2012. "Voluntary voting: Costs and benefits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2083-2123.
    14. 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.
    15. Tajika, Tomoya, 2022. "Voting on tricky questions," Games and Economic Behavior, Elsevier, vol. 132(C), pages 380-389.
    16. Carvalho, M., 2012. "Static vs Dynamic Auctions with Ambiguity Averse Bidders," Other publications TiSEM 1f078e67-88ec-46e3-ae18-1, Tilburg University, School of Economics and Management.
    17. 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.
    18. 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.
    19. Tajika, Tomoya, 2018. "Collective Mistakes: Intuition Aggregation for a Trick Question under Strategic Voting," Discussion Paper Series 674, Institute of Economic Research, Hitotsubashi University.
    20. Acharya, Avidit, 2016. "Information aggregation failure in a model of social mobility," Games and Economic Behavior, Elsevier, vol. 100(C), pages 257-272.

    More about this item

    Keywords

    Ambiguity; voting; elections; information aggregation;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:the:publsh:1284. 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: Martin J. Osborne (email available below). General contact details of provider: http://econtheory.org .

    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.