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Monotonicity of power and power measures

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Author Info
Manfred Holler ()
Stefan Napel ()

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Abstract

Monotonicity is commonly considered an essential requirement for power measures; violation of local monotonicity or related postulates supposedly disqualifies an index as a valid yardstick for measuring power. This paper questions if such claims are really warranted. In the light of features of real-world collective decision making such as coalition formation processes, ideological affinities, a priori unions, and strategic interaction, standard notions of monotonicity are too narrowly defined. A power measure should be able to indicate that power is non-monotonic in a given dimension of players’ resources if – given a decision environment and plausible assumptions about behaviour – itis non-monotonic. Copyright Kluwer Academic Publishers 2004

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File URL: http://hdl.handle.net/10.1007/s11238-004-5638-2
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Publisher Info
Article provided by Springer in its journal Theory and Decision.

Volume (Year): 56 (2004)
Issue (Month): 1 (April)
Pages: 93-111
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Handle: RePEc:kap:theord:v:56:y:2004:i:1:p:93-111

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Web page: http://www.springerlink.com/link.asp?id=100341

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Related research
Keywords: Power measures; monotonicity; voting;

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  1. Steven J. Brams & Michael A. Jones & D.Marc Kilgour, 2003. "Forming Stable Coalitions: The Process Matters," Working Papers 2003.97, Fondazione Eni Enrico Mattei. [Downloadable!]
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