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Voting Power and Voting Blocs

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  • Leech, Dennis

    (Warwick University)

  • Leech, Robert

    (Birkbeck, London University)

Abstract

We investigate the applicability of voting power indices, in particular the Penrose index (aka absolute Banzhaf index), in the analysis of voting blocs by means of a hypothetical voting body. We use the power of individual bloc members to study the implications of the formation of blocs and how voting power varies as bloc size varies. This technique of analysis has many real world applications to legislatures and international bodies. It can be generalised in many ways : the analysis is a priori (assuming formal voting and ignoring actual voting behaviour) but can be made empirical with voting data ; it examines the consequences of two blocs but can easily be extended to more.

Suggested Citation

  • Leech, Dennis & Leech, Robert, 2004. "Voting Power and Voting Blocs," The Warwick Economics Research Paper Series (TWERPS) 716, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:716
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    File URL: https://warwick.ac.uk/fac/soc/economics/research/workingpapers/2008/twerp716b.pdf
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    References listed on IDEAS

    as
    1. Dan S. Felsenthal & Moshé Machover, 1998. "The Measurement of Voting Power," Books, Edward Elgar Publishing, number 1489, December.
    2. Dennis Leech, 2002. "An Empirical Comparison of the Performance of Classical Power Indices," Political Studies, Political Studies Association, vol. 50(1), pages 1-22, March.
    3. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
    4. repec:cup:apsrev:v:48:y:1954:i:03:p:787-792_00 is not listed on IDEAS
    5. James Coleman, 1970. "The benefits of coalition," Public Choice, Springer, vol. 8(1), pages 45-61, March.
    6. Leech, Dennis & Leech, Robert, 2004. "Voting Power in the Bretton Woods Institutions," The Warwick Economics Research Paper Series (TWERPS) 718, University of Warwick, Department of Economics.
    7. Straffin, Philip Jr., 1994. "Power and stability in politics," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 32, pages 1127-1151 Elsevier.
    8. Leech, Dennis & Leech, Robert, 2004. "Voting Power in the Bretton Woods Institutions," Economic Research Papers 269612, University of Warwick - Department of Economics.
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    Citations

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    Cited by:

    1. 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.
    2. Claus Beisbart, 2010. "Groups can make a difference: voting power measures extended," Theory and Decision, Springer, vol. 69(3), pages 469-488, September.
    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. Alonso-Meijide, J.M. & Bilbao, J.M. & Casas-Méndez, B. & Fernández, J.R., 2009. "Weighted multiple majority games with unions: Generating functions and applications to the European Union," European Journal of Operational Research, Elsevier, vol. 198(2), pages 530-544, October.
    5. Serguei Kaniovski, 2008. "The exact bias of the Banzhaf measure of power when votes are neither equiprobable nor independent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 281-300, August.

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