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The stability of decision making in committees: The one-core

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  • Momo Kenfack, Joseph Armel
  • Pongou, Roland
  • Tchantcho, Bertrand

Abstract

We study the stability of decision making in committees. A policy proposal introduced by a committee member is either adopted or abandoned in favor of a new proposal after deliberations. If a proposal is abandoned, it is in spite of the committee member who introduced it, who does not cooperate in any effort to defeat it. Shenoy (1980) proposes the one-core as a solution concept for this game, and shows that this solution may be empty. We provide a necessary and sufficient condition for the existence of a stable policy under the majority rule. This result highlights a trade-off between the size of a committee, the number of competing policy options, and the existence of a stable outcome. Our findings imply a tension between political stability and the existence of a large number of competing interests in democracies.

Suggested Citation

  • Momo Kenfack, Joseph Armel & Pongou, Roland & Tchantcho, Bertrand, 2014. "The stability of decision making in committees: The one-core," Economics Letters, Elsevier, vol. 122(3), pages 390-395.
    • Handle: RePEc:eee:ecolet:v:122:y:2014:i:3:p:390-395
    DOI: 10.1016/j.econlet.2013.12.030
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    References listed on IDEAS

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    1. Kumabe, Masahiro & Mihara, H. Reiju, 2011. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," Games and Economic Behavior, Elsevier, vol. 72(1), pages 187-201, May.
    2. Prakash P. Shenoy, 1980. "On Committee Decision Making: A Game Theoretical Approach," Management Science, INFORMS, vol. 26(4), pages 387-400, April.
    3. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
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    Cited by:

    1. Pongou, Roland & Tchantcho, Bertrand & Tedjeugang, Narcisse, 2014. "Power theories for multi-choice organizations and political rules: Rank-order equivalence," Operations Research Perspectives, Elsevier, vol. 1(1), pages 42-49.
    2. Joseph Armel Momo Kenfack, 2022. "Committees under qualified majority rules: the one-core stability index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 59(2), pages 401-422, August.

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    More about this item

    Keywords

    Voting; Group decisions; Committee games; Core; One-core;
    All these keywords.

    JEL classification:

    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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