Monotonicity of Power Indices

Frantisek Turnovec ()

No 41, East European Series from Institute for Advanced Studies

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.

Keywords: Committee; Monotonicity; Power Index; Power Axioms; Voting (search for similar items in EconPapers)
JEL-codes: D71 D72 K40 (search for similar items in EconPapers)
Pages: 20 pages
Date: 1997-02
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Citations: View citations in EconPapers (9)

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