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Equitable representation in councils: theory and an application to the United Nations Security Council

Author

Listed:
  • Matthew Gould

    (University of Westminster)

  • Matthew D. Rablen

    (University of Sheffield)

Abstract

We analyze democratic equity in council voting games (CVGs). In a CVG, a voting body containing all members delegates decision-making to a (time-varying) subset of its members, as describes, e.g., the relationship between the United Nations General Assembly and the United Nations Security Council (UNSC). We develop a theoretical framework for analyzing democratic equitability in CVGs at both the country and region levels, and for different assumptions regarding preference correlation. We apply the framework to evaluate the equitability of the UNSC, and the claims of those who seek to reform it. We find that the individual permanent members are overrepresented by between 21.3 times (United Kingdom) and 3.8 times (China) from a country-level perspective, while from a region perspective Eastern Europe is the most heavily overrepresented region with more than twice its equitable representation, and Africa the most heavily underrepresented. Our equity measures do not preclude some UNSC members from exercising veto rights, however.

Suggested Citation

  • Matthew Gould & Matthew D. Rablen, 2016. "Equitable representation in councils: theory and an application to the United Nations Security Council," Public Choice, Springer, vol. 169(1), pages 19-51, October.
    • Handle: RePEc:kap:pubcho:v:169:y:2016:i:1:d:10.1007_s11127-016-0368-x
    DOI: 10.1007/s11127-016-0368-x
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    References listed on IDEAS

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    1. Dennis Leech, 2002. "Voting Power in the Governance of the International Monetary Fund," Annals of Operations Research, Springer, vol. 109(1), pages 375-397, January.
    2. Axel Dreher & Matthew Gould & Matthew Rablen & James Vreeland, 2014. "The determinants of election to the United Nations Security Council," Public Choice, Springer, vol. 158(1), pages 51-83, January.
    3. Helios Herrera & Andrea Mattozzi, 2010. "Quorum and Turnout in Referenda," Journal of the European Economic Association, MIT Press, vol. 8(4), pages 838-871, June.
    4. Moshé Machover & Dan S. Felsenthal, 2001. "The Treaty of Nice and qualified majority voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(3), pages 431-464.
    5. Dennis Leech & Robert Leech, 2006. "Voting power and voting blocs," Public Choice, Springer, vol. 127(3), pages 285-303, June.
    6. Ines Lindner, 2008. "A Special Case of Penrose’s Limit Theorem When Abstention is Allowed," Theory and Decision, Springer, vol. 64(4), pages 495-518, June.
    7. Matthew Gould & Matthew D. Rablen, 2017. "Reform of the United Nations Security Council: equity and efficiency," Public Choice, Springer, vol. 173(1), pages 145-168, October.
    8. Stutzer Alois & Frey Bruno S., 2006. "Making International Organizations More Democratic," Review of Law & Economics, De Gruyter, vol. 1(3), pages 305-330, January.
    9. Dan S Felsenthal & Moshé Machover, 2004. "Analysis of QM rules in the draft constitution for Europe proposed by the European Convention, 2003," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 1-20, August.
    10. Paulo P. Côrte-Real & Paulo T. Pereira, 2004. "The voter who wasn’t there: Referenda, representation and abstention," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 349-369, April.
    11. Leech, Dennis, 2002. "Voting Power In The Governance Of The International Monetary Fund," Economic Research Papers 269354, University of Warwick - Department of Economics.
    12. Josep Freixas & William S. Zwicker, 2003. "Weighted voting, abstention, and multiple levels of approval," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 399-431, December.
    13. Loosemore, John & Hanby, Victor J., 1971. "The Theoretical Limits of Maximum Distortion: Some Analytic Expressions for Electoral Systems," British Journal of Political Science, Cambridge University Press, vol. 1(4), pages 467-477, October.
    14. Laruelle, Annick & Widgren, Mika, 1998. "Is the Allocation of Voting Power among EU States Fair?," Public Choice, Springer, vol. 94(3-4), pages 317-339, March.
    15. Adam Rose & Brandt Stevens, 1998. "A Dynamic Analysis of Fairness in Global Warming Policy: Kyoto, Buenos Aires, and Beyond," Journal of Applied Economics, Taylor & Francis Journals, vol. 1(2), pages 329-362, November.
    16. Adam Rose & Brandt Stevens, 1998. "A Dynamic Analysis of Fairness in Global Warming Policy: Kyoto, Buenos Aires, and Beyond," Journal of Applied Economics, Universidad del CEMA, vol. 1, pages 329-362, November.
    17. Bruno Frey & Alois Stutzer, 2006. "Strengthening the citizens' role in international organizations," The Review of International Organizations, Springer, vol. 1(1), pages 27-43, March.
    18. Manno, Catherine Senf, 1966. "Selective Weighted Voting in the UN General Assembly: Rationale and Methods," International Organization, Cambridge University Press, vol. 20(1), pages 37-62, January.
    19. Winter, Eyal, 1996. "Voting and Vetoing," American Political Science Review, Cambridge University Press, vol. 90(4), pages 813-823, December.
    20. Freixas, Josep, 2012. "Probabilistic power indices for voting rules with abstention," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 89-99.
    21. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    22. Freixas, Josep & Zwicker, William S., 2009. "Anonymous yes-no voting with abstention and multiple levels of approval," Games and Economic Behavior, Elsevier, vol. 67(2), pages 428-444, November.
    23. Madeleine Hosli & Rebecca Moody & Bryan O’Donovan & Serguei Kaniovski & Anna Little, 2011. "Squaring the circle? Collective and distributive effects of United Nations Security Council reform," The Review of International Organizations, Springer, vol. 6(2), pages 163-187, July.
    24. Iain McLean & Alistair McMillan & Dennis Leech, 2005. "Duverger's Law, Penrose's Power Index and the Unity of the UK," Political Studies, Political Studies Association, vol. 53, pages 457-476, October.
    25. Leech, Dennis, 2002. "Designing the Voting System for the Council of the European Union," Public Choice, Springer, vol. 113(3-4), pages 437-464, December.
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    Cited by:

    1. Matthew Gould & Matthew D. Rablen, 2017. "Reform of the United Nations Security Council: equity and efficiency," Public Choice, Springer, vol. 173(1), pages 145-168, October.
    2. Johann Caro‐Burnett, 2022. "Optimal voting rules for international organizations, with an application to the United Nations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(6), pages 1463-1501, December.

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    More about this item

    Keywords

    United Nations Security Council; United Nations; Voting power; Square-root rule; Equity;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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