Monotonicity of Power Indices
AbstractThe 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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Bibliographic InfoPaper provided by Institute for Advanced Studies in its series East European Series with number 41.
Length: 20 pages
Date of creation: Feb 1997
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Find related papers by 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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- František Turnovec, 2007.
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- 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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