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Monotonicity of Power Indices

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Author Info

  • Turnovec, Frantisek

    (CERGE-EI, Charles University - Department of Economics, Institute for Advanced Studies, Vienna)

Abstract

The paper investigates general properties of power indices, measuring the voting power in committees. Concepts of local and global monotonicity of power indices are introduced. Shapley-Shubik, Banzhaf-Coleman, and Holler-Packel indices are analyzed and it is proved that while Shapley-Shubik index satisfies both local and global monotonicity property, Banzhaf-Coleman satisfies only local monotonicity without being globally monotonic and Holler-Packel index satisfies neither local nor global monotonicity.

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File URL: http://www.ihs.ac.at/publications/eco/east/ro-41.pdf
File Function: First version, 1997
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Bibliographic Info

Paper provided by Institute for Advanced Studies in its series East European Series with number 41.

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Length: 20 pages
Date of creation: Feb 1997
Date of revision:
Handle: RePEc:ihs:ihsrop:41

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Related research

Keywords: Committee; Monotonicity; Power Index; Power Axioms; Voting;

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Citations

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Cited by:
  1. František Turnovec, 2007. "New Measure of Voting Power," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 1(1), pages 04-14, March.
  2. Manfred Holler & Rie Ono & Frank Steffen, 2001. "Constrained Monotonicity and the Measurement of Power," Theory and Decision, Springer, vol. 50(4), pages 383-395, June.
  3. J. Alonso-Meijide & C. Bowles & M. Holler & S. Napel, 2009. "Monotonicity of power in games with a priori unions," Theory and Decision, Springer, vol. 66(1), pages 17-37, January.
  4. Sutter, Matthias, 2000. " Flexible Integration, EMU and Relative Voting Power in the EU," Public Choice, Springer, vol. 104(1-2), pages 41-62, July.
  5. Hannu Nurmi, 2010. "Voting Weights or Agenda Control: Which One Really Matters?," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 4(1), pages 005-017, March.

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