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On the Optimal Composition of Committees

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  • Ruth Ben-Yashar
  • Leif Danziger

Abstract

This paper derives a simple characterization of how to optimally divide an organization’s experts into different decision-making committees. The focus is on many three-member committees that make decisions by a simple majority rule. We find that the allocation of experts to committees is optimal if and only if it minimizes the sum of the products of the experts’ skills in each committee. As a result, given the experts of any two committees, the product of the experts’ skills should be as similar as possible in the two committees, and it is never optimal to have the three worst experts in one committee and the three best experts in another.

Suggested Citation

  • Ruth Ben-Yashar & Leif Danziger, 2014. "On the Optimal Composition of Committees," CESifo Working Paper Series 4685, CESifo.
    • Handle: RePEc:ces:ceswps:_4685
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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. Ben-Yashar, Ruth C & Nitzan, Shmuel I, 1997. "The Optimal Decision Rule for Fixed-Size Committees in Dichotomous Choice Situations: The General Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 175-186, February.
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    5. Ben-Yashar, Ruth & Danziger, Leif, 2011. "Symmetric and asymmetric committees," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 440-447.
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    14. Daniel Berend & Luba Sapir, 2007. "Monotonicity in Condorcet’s Jury Theorem with dependent voters," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 507-528, April.
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    Citations

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    Cited by:

    1. Ruth Ben-Yashar & Leif Danziger, 2015. "When is voting optimal?," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 341-356, October.
    2. Takuya Sekiguchi, 2016. "Optimal group composition for efficient division of labor," Theory and Decision, Springer, vol. 81(4), pages 601-618, November.
    3. Takuya Sekiguchi & Hisashi Ohtsuki, 2023. "Aggregation of Correlated Judgments on Multiple Interconnected Issues," Group Decision and Negotiation, Springer, vol. 32(1), pages 233-256, February.
    4. Takuya Sekiguchi, 2023. "Voting Records as Assessors of Premises Behind Collective Decisions," Group Decision and Negotiation, Springer, vol. 32(2), pages 257-275, April.
    5. Ben-Yashar, Ruth & Danziger, Leif, 2016. "The unanimity rule and extremely asymmetric committees," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 107-112.
    6. 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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    More about this item

    Keywords

    optimal composition of committees; simple majority rule;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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