IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v64y2016icp107-112.html
   My bibliography  Save this article

The unanimity rule and extremely asymmetric committees

Author

Listed:
  • Ben-Yashar, Ruth
  • Danziger, Leif

Abstract

This paper analyzes how to allocate experts into committees that use the unanimity rule to make decisions. We show that an optimal allocation of experts is extremely asymmetric. To reach the optimal allocation, therefore, one needs only to rank the experts in terms of their abilities and then allocate adjacent experts such that an expert’s ability tends to vary inversely with the size of his committee. In the special case of three-member committees, we show that the optimal allocation maximizes the sum of the products of the experts’ skills in each committee.

Suggested Citation

  • Ben-Yashar, Ruth & Danziger, Leif, 2016. "The unanimity rule and extremely asymmetric committees," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 107-112.
    • Handle: RePEc:eee:mateco:v:64:y:2016:i:c:p:107-112
    DOI: 10.1016/j.jmateco.2016.03.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406816300088
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2016.03.008?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Sah, Raaj Kumar & Stiglitz, Joseph E, 1986. "The Architecture of Economic Systems: Hierarchies and Polyarchies," American Economic Review, American Economic Association, vol. 76(4), pages 716-727, September.
    2. Baharad, Eyal & Nitzan, Shmuel, 2002. "Ameliorating Majority Decisiveness through Expression of Preference Intensity," American Political Science Review, Cambridge University Press, vol. 96(4), pages 745-754, December.
    3. Franz Dietrich & Christian List, 2013. "Propositionwise judgment aggregation: the general case," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(4), pages 1067-1095, April.
    4. Sah, Raaj Kumar & Stiglitz, Joseph E, 1988. "Committees, Hierarchies and Polyarchies," Economic Journal, Royal Economic Society, vol. 98(391), pages 451-470, June.
    5. Ben-Yashar, Ruth & Danziger, Leif, 2011. "Symmetric and asymmetric committees," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 440-447.
    6. Giovanni Maggi & Massimo Morelli, 2006. "Self-Enforcing Voting in International Organizations," American Economic Review, American Economic Association, vol. 96(4), pages 1137-1158, September.
    7. Bozbay, İrem & Dietrich, Franz & Peters, Hans, 2014. "Judgment aggregation in search for the truth," Games and Economic Behavior, Elsevier, vol. 87(C), pages 571-590.
    8. Franz Dietrich & Christian List, 2008. "Judgment aggregation without full rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 15-39, June.
    9. Ruth Ben-Yashar & Leif Danziger, 2014. "On the optimal composition of committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 973-980, December.
    10. S. Nageeb Ali & Jacob K. Goeree & Navin Kartik & Thomas R. Palfrey, 2008. "Information Aggregation in Standing and Ad Hoc Committees," American Economic Review, American Economic Association, vol. 98(2), pages 181-186, May.
    11. 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.
    12. A. Georges L. Romme, 2004. "Unanimity Rule and Organizational Decision Making: A Simulation Model," Organization Science, INFORMS, vol. 15(6), pages 704-718, December.
    13. Austen-Smith, David & Feddersen, Timothy J., 2006. "Deliberation, Preference Uncertainty, and Voting Rules," American Political Science Review, Cambridge University Press, vol. 100(2), pages 209-217, May.
    14. Ruth Ben-Yashar & Shmuel Nitzan, 2001. "The robustness of optimal organizational architectures: A note on hierarchies and polyarchies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 155-163.
    15. 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.
    16. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Raja Timilsina & Koji Kotani & Yoshinori Nakagawa & Tatsuyoshi Saijo, 2018. "Does deliberation change individual opinions and hence resolve the intergenerational sustainability dilemma in societies?," Working Papers SDES-2018-7, Kochi University of Technology, School of Economics and Management, revised Oct 2018.
    2. 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.
    3. BAHARAD, Eyal & BEN-YASHAR, Ruth & NITZAN, Shmuel, 2018. "Variable Competence and Collective Performance: Unanimity vs. Simple Majority Rule," Discussion paper series HIAS-E-80, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    4. Eyal Baharad & Ruth Ben-Yashar & Shmuel Nitzan, 2020. "Variable Competence and Collective Performance: Unanimity Versus Simple Majority Rule," Group Decision and Negotiation, Springer, vol. 29(1), pages 157-167, February.
    5. Timilsina, Raja R. & Kotani, Koji & Nakagawa, Yoshinori & Saijo, Tatsuyoshi, 2022. "Intragenerational deliberation and intergenerational sustainability dilemma," European Journal of Political Economy, Elsevier, vol. 73(C).
    6. 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.
    7. BEN-YASHAR, Ruth & NITZAN, Shmuel, 2017. "A Note on the Possible Advantage of Size Flexibility in Committees," Discussion paper series HIAS-E-61, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    8. Steve Alpern & Bo Chen, 2022. "Optimizing voting order on sequential juries: a median voter theorem and beyond," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(3), pages 527-565, April.

    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. Ruth Ben-Yashar & Leif Danziger, 2014. "On the optimal composition of committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 973-980, December.
    2. Ruth Ben-Yashar & Miriam Krausz & Shmuel Nitzan, 2018. "Government loan guarantees and the credit decision-making structure," Canadian Journal of Economics, Canadian Economics Association, vol. 51(2), pages 607-625, May.
    3. 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.
    4. Eyal Baharad & Ruth Ben-Yashar, 2021. "Judgment Aggregation by a Boundedly Rational Decision-Maker," Group Decision and Negotiation, Springer, vol. 30(4), pages 903-914, August.
    5. 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.
    6. 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.
    7. Baharad, Eyal & Ben-Yashar, Ruth & Patal, Tal, 2020. "On the merit of non-specialization in the context of majority voting," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 128-133.
    8. Laurent Bouton & Aniol Llorente-Saguer & Frédéric Malherbe, 2014. "Get Rid of Unanimity: The Superiority of Majority Rule with Veto Power," NBER Working Papers 20417, National Bureau of Economic Research, Inc.
    9. Ruth Ben-Yashar & Winston Koh & Shmuel Nitzan, 2012. "Is specialization desirable in committee decision making?," Theory and Decision, Springer, vol. 72(3), pages 341-357, March.
    10. Eyal Baharad & Ruth Ben-Yashar & Shmuel Nitzan, 2020. "Variable Competence and Collective Performance: Unanimity Versus Simple Majority Rule," Group Decision and Negotiation, Springer, vol. 29(1), pages 157-167, February.
    11. BAHARAD, Eyal & BEN-YASHAR, Ruth & NITZAN, Shmuel, 2018. "Variable Competence and Collective Performance: Unanimity vs. Simple Majority Rule," Discussion paper series HIAS-E-80, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    12. Laurent Bouto & Aniol Llorente-Saguer & Fédéric Malherbe, 2014. "Get Rid of Unanimity: The Superiority of Majority Rule with Veto Power," Working Papers 722, Queen Mary University of London, School of Economics and Finance.
    13. Ben-Yashar, Ruth & Khuller, Samir & Kraus, Sarit, 2001. "Optimal collective dichotomous choice under partial order constraints," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 349-364, May.
    14. Li Hao & Wing Suen, 2009. "Viewpoint: Decision-making in committees," Canadian Journal of Economics, Canadian Economics Association, vol. 42(2), pages 359-392, May.
    15. Bouton, Laurent & Llorente-Saguer, Aniol & Malherbe, Frédéric, 2017. "Unanimous rules in the laboratory," Games and Economic Behavior, Elsevier, vol. 102(C), pages 179-198.
    16. Min Zhu & Chang Liu & You-Gan Wang, 2017. "A comment on Koh’s “The optimal design of fallible organizations: invariance of optimal decision threshold and uniqueness of hierarchy and polyarchy structures”," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 385-392, February.
    17. Swank, Otto & Visser, Bauke, 2008. "The consequences of endogenizing information for the performance of a sequential decision procedure," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 667-681, March.
    18. Chifeng Dai, 2010. "Imperfect verification, appeals, and limited liability," Journal of Regulatory Economics, Springer, vol. 37(1), pages 23-41, February.
    19. Kube, Sebastian & Schaube, Sebastian & Schildberg-Hörisch, Hannah & Khachatryan, Elina, 2015. "Institution formation and cooperation with heterogeneous agents," European Economic Review, Elsevier, vol. 78(C), pages 248-268.
    20. Ronald Britto, 2000. "Committee Decision Making: The Multicategory Case," Southern Economic Journal, John Wiley & Sons, vol. 66(3), pages 764-769, January.

    More about this item

    Keywords

    Unanimity rule; Extremely asymmetric committees; Optimal composition of committees;
    All these keywords.

    JEL classification:

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

    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:eee:mateco:v:64:y:2016:i:c:p:107-112. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.