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Who should cast the casting vote? Using sequential voting to amalgamate information

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Listed:
  • Steve Alpern

    (University of Warwick)

  • Bo Chen

    (University of Warwick)

Abstract

In this study, we are concerned with how agents can best amalgamate their private information about a binary state of Nature. The agents are heterogeneous in their “ability”, the quality of their private information. The agents cannot directly communicate their private information but instead can only vote between the two states (say “Innocent” or “Guilty” on a criminal jury). We first describe possible methods of sequential majority voting, and then we analyze a particular one: the first $$n-1$$ n - 1 jurors vote simultaneously and, in the case of a tie, the remaining juror has the casting vote. We prove that when $$n=3$$ n = 3 (a common situation for a tribunal of three judges), the probability of a correct verdict is maximized when the agent of median ability has the casting vote.

Suggested Citation

  • Steve Alpern & Bo Chen, 2017. "Who should cast the casting vote? Using sequential voting to amalgamate information," Theory and Decision, Springer, vol. 83(2), pages 259-282, August.
    • Handle: RePEc:kap:theord:v:83:y:2017:i:2:d:10.1007_s11238-017-9593-0
    DOI: 10.1007/s11238-017-9593-0
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    References listed on IDEAS

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    1. Eddie Dekel & Michele Piccione, 2000. "Sequential Voting Procedures in Symmetric Binary Elections," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 34-55, February.
    2. Morris H. Degroot & Joseph B. Kadane, 1980. "Optimal Challenges for Selection," Operations Research, INFORMS, vol. 28(4), pages 952-968, August.
    3. Alpern, Steve & Chen, Bo, 2017. "The importance of voting order for jury decisions by sequential majority voting," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1072-1081.
    4. Ottaviani, Marco & Sorensen, Peter, 2001. "Information aggregation in debate: who should speak first?," Journal of Public Economics, Elsevier, vol. 81(3), pages 393-421, September.
    5. Steven J. Brams & Morton D. Davis, 1978. "Optimal Jury Selection: A Game-Theoretic Model for the Exercise of Peremptory Challenges," Operations Research, INFORMS, vol. 26(6), pages 966-991, December.
    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. Ruth Ben-Yashar & Shmuel Nitzan, 2001. "Are Referees Sufficiently Informed About The Editor'S Practice?," Theory and Decision, Springer, vol. 51(1), pages 1-11, August.
    8. David R. Karger & Sewoong Oh & Devavrat Shah, 2014. "Budget-Optimal Task Allocation for Reliable Crowdsourcing Systems," Operations Research, INFORMS, vol. 62(1), pages 1-24, February.
    9. Alpern, Steve & Gal, Shmuel & Solan, Eilon, 2010. "A sequential selection game with vetoes," Games and Economic Behavior, Elsevier, vol. 68(1), pages 1-14, January.
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    Cited by:

    1. Steve Alpern & Bo Chen, 2020. "Optimizing Voting Order on Sequential Juries: A Median Voter Theorem and Beyond," Papers 2006.14045, arXiv.org, revised Oct 2021.

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