IDEAS home Printed from https://ideas.repec.org/a/kap/pubcho/v189y2021i3d10.1007_s11127-021-00895-w.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11127-021-00895-w
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11127-021-00895-w?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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.
    2. Lando Henrik, 2009. "Prevention of Crime and the Optimal Standard of Proof in Criminal Law," Review of Law & Economics, De Gruyter, vol. 5(1), pages 33-52, January.
    3. 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.
    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. 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.
    9. 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.
    10. 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.
    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. 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.
    2. Alexander Lundberg, 2020. "The importance of expertise in group decisions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 495-521, October.
    3. Hongbin Cai, 2009. "Costly participation and heterogeneous preferences in informational committees," RAND Journal of Economics, RAND Corporation, vol. 40(1), pages 173-189, March.
    4. Ruth Ben-Yashar & Shmuel Nitzan, 2014. "On the significance of the prior of a correct decision in committees," Theory and Decision, Springer, vol. 76(3), pages 317-327, March.
    5. Pan Addison & Fabrizi Simona & Lippert Steffen, 2018. "Non-Congruent Views about Signal Precision in Collective Decisions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-24, July.
    6. Jan Marc Berk & Beata K. Bierut, 2005. "On the Optimality of Decisions made by Hub-and-Spokes Monetary Policy Committees," DNB Working Papers 027, Netherlands Central Bank, Research Department.
    7. Jan Marc Berk & Beata Bierut, 2004. "On the Optimality of Decisions," Tinbergen Institute Discussion Papers 04-120/2, Tinbergen Institute.
    8. Simona Fabrizi & Steffen Lippert & Addison Pan & Matthew Ryan, 2022. "A theory of unanimous jury voting with an ambiguous likelihood," Theory and Decision, Springer, vol. 93(3), pages 399-425, October.
    9. Fifić, Mario & Gigerenzer, Gerd, 2014. "Are two interviewers better than one?," Journal of Business Research, Elsevier, vol. 67(8), pages 1771-1779.
    10. Quement, Mark T. Le & Marcin, Isabel, 2020. "Communication and voting in heterogeneous committees: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 174(C), pages 449-468.
    11. Taiga Tsubota & Masahide Horita, 2022. "What Forms the Trajectory of Social Reforms? The Roles of Decision Rules and Communication under Epistemic Uncertainty," Group Decision and Negotiation, Springer, vol. 31(1), pages 187-212, February.
    12. Patrick Hummel, 2012. "Deliberation in large juries with diverse preferences," Public Choice, Springer, vol. 150(3), pages 595-608, March.
    13. Kata Bognar & Lones Smith, 2004. "We Can't Argue Forever," CERS-IE WORKING PAPERS 0415, Institute of Economics, Centre for Economic and Regional Studies.
    14. Marina Agranov & Jacob K Goeree & Julian Romero & Leeat Yariv, 2018. "What Makes Voters Turn Out: The Effects of Polls and Beliefs," Journal of the European Economic Association, European Economic Association, vol. 16(3), pages 825-856.
    15. Gradwohl, Ronen & Heller, Yuval & Hillman, Arye, 2022. "Social Media and Democracy," MPRA Paper 113609, University Library of Munich, Germany.
    16. Baddeley, Michelle & Parkinson, Sophia, 2012. "Group decision-making: An economic analysis of social influence and individual difference in experimental juries," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(5), pages 558-573.
    17. Guha, Brishti, 2017. "Should Jurors Deliberate?," MPRA Paper 79876, University Library of Munich, Germany.
    18. 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.
    19. Breitmoser, Yves & Valasek, Justin, 2017. "A rationale for unanimity in committees," Discussion Papers, Research Unit: Economics of Change SP II 2017-308, WZB Berlin Social Science Center.
    20. Javier Rivas & Carmelo Rodríguez-Álvarez, 2017. "Deliberation, Leadership and Information Aggregation," Manchester School, University of Manchester, vol. 85(4), pages 395-429, July.

    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

    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:kap:pubcho:v:189:y:2021:i:3:d:10.1007_s11127-021-00895-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.