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Information aggregation with continuum of types

Author

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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    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

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