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Constrained Monotonicity and the Measurement of Power
Authors:Holler  Manfred J.  Ono  Rie  Steffen  Frank
Affiliation:(1) Institute of SocioEconomics, University of Hamburg, D-20146 Hamburg, Germany
Abstract:In this paper we will discuss constraints on the number of (non-dummy) players and on the distribution of votes such that local monotonicity is satisfied for the Public Good Index. These results are compared to properties which are related to constraints on the redistribution of votes (such as implied by global monotonicity). The discussion shows that monotonicity is not a straightforward criterion of classification for power measures. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:Voting Power Indices  Public Good Index  Local Monotonocity  Player-Constrained Local Monotonicity  Partial Local Monotonicity
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