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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
    Download Restriction: no

    Citations

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    Cited by:

    1. 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.
    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. 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.
    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. 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.
    6. repec:spr:grdene:v:13:y:2004:i:4:d:10.1023_b:grup.0000042894.00775.75 is not listed on IDEAS
    7. repec:spr:grdene:v:10:y:2001:i:3:d:10.1023_a:1011201501379 is not listed on IDEAS
    8. 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.

    More about this item

    Keywords

    Committee; Monotonicity; Power Index; Power Axioms; Voting;

    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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