Monotonicity of power and power measures

Manfred Holler () and Stefan Napel

Theory and Decision, 2004, vol. 56, issue 1, 93-111

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

Keywords: Power measures; monotonicity; voting (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (12)

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DOI: 10.1007/s11238-004-5638-2

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