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Monotonicity of Power Indices

Author

Listed:
  • 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.

Suggested Citation

  • Turnovec, Frantisek, 1997. "Monotonicity of Power Indices," East European Series 41, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsrop:41
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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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    Citations

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    Cited by:

    1. 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.
    2. Manfred J. Holler, 1998. "Two Stories, One Power Index," Journal of Theoretical Politics, , vol. 10(2), pages 179-190, April.
    3. 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.
    4. Matthias Sutter, 2000. "Flexible Integration, EMU and Relative Voting Power in the EU," Public Choice, Springer, vol. 104(1), 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.
    6. 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.
    7. Cook, Wade D., 2006. "Distance-based and ad hoc consensus models in ordinal preference ranking," European Journal of Operational Research, Elsevier, vol. 172(2), pages 369-385, July.
    8. Khaled Jabeur & Jean-Marc Martel & Slim Ben Khélifa, 2004. "A Distance-Based Collective Preorder Integrating the Relative Importance of the Group's Members," Group Decision and Negotiation, Springer, vol. 13(4), pages 327-349, July.
    9. R.C. Van den Honert, 2001. "Decisional Power in Group Decision Making: A Note on the Allocation of Group Members' Weights in the Multiplicative AHP and SMART," Group Decision and Negotiation, Springer, vol. 10(3), pages 275-286, May.

    More about this item

    Keywords

    Committee; Monotonicity; Power Index; Power Axioms; Voting;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General

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