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Deliberation and the Wisdom of Crowds

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Abstract

Does pre-voting group deliberation increase majority competence? To address this question, we develop a probabilistic model of opinion formation and deliberation. Two new jury theorems, one pre-deliberation and one post-deliberation, suggest that deliberation is beneficial. Successful deliberation mitigates three voting failures: (1) overcounting widespread evidence, (2) neglecting evidential inequality, and (3) neglecting evidential complementarity. Simulations and theoretic arguments confirm this. But there are five systematic exceptions where deliberation reduces majority competence, always by increasing failure (1). Our analysis recommends deliberation that is 'participatory', 'even', but possibly 'unequal', i.e., that involves substantive sharing, privileges no evidences, but possibly privileges some persons

Suggested Citation

  • Franz Dietrich & Kai Spiekermann, 2022. "Deliberation and the Wisdom of Crowds," Documents de travail du Centre d'Economie de la Sorbonne 22011r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Dec 2023.
  • Handle: RePEc:mse:cesdoc:22011r
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    1. Ding, Huihui & Pivato, Marcus, 2021. "Deliberation and epistemic democracy," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 138-167.
    2. Chung, Hun & Duggan, John, 2020. "A Formal Theory of Democratic Deliberation," American Political Science Review, Cambridge University Press, vol. 114(1), pages 14-35, February.
    3. Perote-Peña, Juan & Piggins, Ashley, 2015. "A Model Of Deliberative And Aggregative Democracy," Economics and Philosophy, Cambridge University Press, vol. 31(1), pages 93-121, March.
    4. Pivato, Marcus, 2017. "Epistemic democracy with correlated voters," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 51-69.
    5. Dietrich, F.K. & Spiekermann, K., 2010. "Epistemic democracy with defensible premises," Research Memorandum 066, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    6. 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.
    7. 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.
    8. Robert E. Goodin, 2017. "The epistemic benefits of deliberative democracy," Policy Sciences, Springer;Society of Policy Sciences, vol. 50(3), pages 351-366, September.
    9. Dimitri Landa & Adam Meirowitz, 2009. "Game Theory, Information, and Deliberative Democracy," American Journal of Political Science, John Wiley & Sons, vol. 53(2), pages 427-444, April.
    10. Dryzek, John S. & List, Christian, 2003. "Social Choice Theory and Deliberative Democracy: A Reconciliation," British Journal of Political Science, Cambridge University Press, vol. 33(1), pages 1-28, January.
    11. Gerardi, Dino & Yariv, Leeat, 2007. "Deliberative voting," Journal of Economic Theory, Elsevier, vol. 134(1), pages 317-338, May.
    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. Rad, Soroush Rafiee & Roy, Olivier, 2021. "Deliberation, Single-Peakedness, and Coherent Aggregation," American Political Science Review, Cambridge University Press, vol. 115(2), pages 629-648, May.
    14. Paulo Barelli & Sourav Bhattacharya & Lucas Siga, 2022. "Full Information Equivalence in Large Elections," Econometrica, Econometric Society, vol. 90(5), pages 2161-2185, September.
    15. Scott E. Page, 2007. "Prologue to The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies," Introductory Chapters, in: The Difference: How the Power of Diversity Creates Better Groups, Firms, Schools, and Societies, Princeton University Press.
    16. Dietrich, Franz & Spiekermann, Kai, 2013. "Epistemic Democracy With Defensible Premises1," Economics and Philosophy, Cambridge University Press, vol. 29(1), pages 87-120, March.
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    Cited by:

    1. Chaim Fershtman & Uzi Segal, 2024. "Social influence in committee deliberation," Theory and Decision, Springer, vol. 96(2), pages 185-207, March.

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    More about this item

    Keywords

    jury theorems; group deliberation; social choice theory; majority voting;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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