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Generating Functions for Coalitional Power Indices: An Application to the IMF

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  • J. Alonso-Meijide
  • C. Bowles

Abstract

This paper provides “ready-to-apply” procedures, based on generating functions, which allow to compute power indices in weighted majority games restricted by an a priori system of unions. We illustrate these methods by an application to the International Monetary Fund. We compare the empirical properties of the coalitional and traditional power indices keeping the game fixed or allowing for variations in its set of parameters. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • J. Alonso-Meijide & C. Bowles, 2005. "Generating Functions for Coalitional Power Indices: An Application to the IMF," Annals of Operations Research, Springer, vol. 137(1), pages 21-44, July.
    • Handle: RePEc:spr:annopr:v:137:y:2005:i:1:p:21-44:10.1007/s10479-005-2242-y
    DOI: 10.1007/s10479-005-2242-y
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    References listed on IDEAS

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    1. Widgren, Mika, 1994. "Voting power in the EC decision making and the consequences of two different enlargements," European Economic Review, Elsevier, vol. 38(5), pages 1153-1170, May.
    2. Algaba, E. & Bilbao, J. M. & Fernandez Garcia, J. R. & Lopez, J. J., 2003. "Computing power indices in weighted multiple majority games," Mathematical Social Sciences, Elsevier, vol. 46(1), pages 63-80, August.
    3. José Alonso-Meijide & M. Fiestras-Janeiro, 2002. "Modification of the Banzhaf Value for Games with a Coalition Structure," Annals of Operations Research, Springer, vol. 109(1), pages 213-227, January.
    4. Leech, Dennis, 1998. "Power Relations in the IMF: A Study of the Political Economy of A Priori Voting Power Using the Theory of Simple Games," CSGR Working papers series 06/98, Centre for the Study of Globalisation and Regionalisation (CSGR), University of Warwick.
    5. Winter, Eyal, 1989. "A Value for Cooperative Games with Levels Structure of Cooperation," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(2), pages 227-240.
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