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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)

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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 Format: application/pdf
File Function: First version, 1997
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Publisher 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;

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 - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior
K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General

Cited by:
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  1. 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. [Downloadable!] (restricted)
  2. František Turnovec, 2007. "New Measure of Voting Power," AUCO Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 1(1), pages 04-14, March. [Downloadable!]
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This page was last updated on 2009-12-9.


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