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Computing Power Indices for Large Voting Games

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  • Dennis Leech

    ()
    (Department of Economics, University of Warwick, Coventry CV47AL, United Kingdom)

Abstract

Voting power indices enable the analysis of the distribution of power in a legislature or voting body in which different members have different numbers of votes. Although this approach to the measurement of power has been known for a long time, its application to large games has been limited by the difficulty of computing these indices. This paper presents a new method for computing power indices that combines exact methods with an approximate method due to Owen. This method is of most utility in situations where the number of players is large and the voting weights are concentrated in the hands of a small number of members.

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File URL: http://dx.doi.org/10.1287/mnsc.49.6.831.16024
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Bibliographic Info

Article provided by INFORMS in its journal Management Science.

Volume (Year): 49 (2003)
Issue (Month): 6 (June)
Pages: 831-837

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Handle: RePEc:inm:ormnsc:v:49:y:2003:i:6:p:831-837

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Related research

Keywords: Voting; Weighted Voting; Power Index; Weighted Majority Game; Empirical Game Theory;

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Cited by:
  1. Vincent Merlin & Marc Feix & Dominique Lepelley & Jean-Louis Rouet, 2007. "On the Voting Power of an Alliance and the Subsequent Power of its Members," Post-Print halshs-00010168, HAL.
  2. Balsmeier, Benjamin & Bermig, Andreas & Dilger, Alexander & Geyer, Hannah, 2011. "Corporate governance and employee power in the boardroom: An applied game theoretical analysis," Discussion Papers of the Institute for Organisational Economics 9/2011, University of Münster, Institute for Organisational Economics.
  3. Leech, Dennis & Leech, Robert, 2012. "A New Analysis of A Priori Voting Power in the IMF: Recent Quota Reforms Give Little Cause for Celebration," The Warwick Economics Research Paper Series (TWERPS) 1001, University of Warwick, Department of Economics.
  4. Berezinets, Irina & Ilina, Yulia & Muravyev, Alexander, 2011. "CEO and Board Characteristics as Determinants of Private Benefits of Control: Evidence from the Russian Stock Exchange," IZA Discussion Papers 6256, Institute for the Study of Labor (IZA).
  5. Guemmegne, Juliette & Pongou, Roland, 2013. "A Policy-Based Rationalization of Collective Rules: Dimensionality, Specialized Houses, and Decentralized Authority," MPRA Paper 46019, University Library of Munich, Germany.
  6. Crama, Yves & Leruth, Luc, 2007. "Control and voting power in corporate networks: Concepts and computational aspects," European Journal of Operational Research, Elsevier, vol. 178(3), pages 879-893, May.
  7. Fabrice Barthelemy & Mathieu Martin & Bertrand Tchantcho, 2011. "Some conjectures on the two main power indices," THEMA Working Papers 2011-14, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  8. Fabrice Barthélémy & Mathieu Martin, 2007. "Configurations study for the Banzhaf and the Shapley-Shubik indices of power," THEMA Working Papers 2007-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  9. Ines Lindner, 2012. "Annick Laruelle and Federico Valenciano: Voting and collective decision-making," Social Choice and Welfare, Springer, vol. 38(1), pages 161-179, January.
  10. Rahhal Lahrach & Jérôme Le Tensorer & Vincent Merlin, 2005. "Who benefits from the US withdrawal of the Kyoto Protocol? An application of the MMEA method to measure power," Post-Print halshs-00010171, HAL.
  11. Dennis Leech, 2013. "Power indices in large voting bodies," Public Choice, Springer, vol. 155(1), pages 61-79, April.
  12. Sreejith Das, 2011. "Criticality in games with multiple levels of approval," Social Choice and Welfare, Springer, vol. 37(3), pages 373-395, September.

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