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A Talmudic constrained voting majority rule

Author

Listed:
  • Ronen Bar-El

    (The Open University of Israel)

  • Mordechai E. Schwarz

    (The Open University of Israel)

Abstract

Talmudic Law requires a minimal supermajority (13 out of 23) for conviction, but at the same time, provides that a unanimous conviction leads to a mistrial. We derive the necessary and sufficient conditions for sincere and strategic voting and show that under the Talmudic rule, the probability of the first type judicial error is lower than that computed by Feddersen and Pessendorfer (Am Polit Sci Rev 92(1):23–35, 1998) and Coughlan (Am Polit Sci Rev 94(2):375–393, 2000). However, the probability of a second type error marginally is higher.

Suggested Citation

  • Ronen Bar-El & Mordechai E. Schwarz, 2021. "A Talmudic constrained voting majority rule," Public Choice, Springer, vol. 189(3), pages 465-491, December.
    • Handle: RePEc:kap:pubcho:v:189:y:2021:i:3:d:10.1007_s11127-021-00895-w
    DOI: 10.1007/s11127-021-00895-w
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    References listed on IDEAS

    as
    1. Ruth Ben-Yashar & Shmuel Nitzan, 2017. "Are two better than one? A note," Public Choice, Springer, vol. 171(3), pages 323-329, June.
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    4. Feddersen, Timothy & Pesendorfer, Wolfgang, 1998. "Convicting the Innocent: The Inferiority of Unanimous Jury Verdicts under Strategic Voting," American Political Science Review, Cambridge University Press, vol. 92(1), pages 23-35, March.
    5. Kaushik Mukhopadhaya, 2003. "Jury Size and the Free Rider Problem," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 19(1), pages 24-44, April.
    6. Eyal Baharad & Jacob Goldberger & Moshe Koppel & Shmuel Nitzan, 2012. "Beyond Condorcet: optimal aggregation rules using voting records," Theory and Decision, Springer, vol. 72(1), pages 113-130, January.
    7. 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.
    8. Ruth Ben-Yashar & Shmuel Nitzan, 2017. "Is diversity in capabilities desirable when adding decision makers?," Theory and Decision, Springer, vol. 82(3), pages 395-402, March.
    9. Daniel Berend & Jacob Paroush, 1998. "When is Condorcet's Jury Theorem valid?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 481-488.
    10. 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.
    11. Ruth Ben-Yashar & Miriam Krausz & Shmuel Nitzan, 2018. "The effect of democratic decision-making on investment in reputation," Public Choice, Springer, vol. 177(1), pages 155-164, October.
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    Cited by:

    1. Deniz Kattwinkel & Alexander Winter, 2024. "Optimal Decision Mechanisms for Committees: Acquitting the Guilty," Papers 2407.07293, arXiv.org.

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    More about this item

    Keywords

    Jury; Voting; Mistrial;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • K00 - Law and Economics - - General - - - General (including Data Sources and Description)
    • K41 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - Litigation Process

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