, Volume 50, Issue 4, pp 383-395

Constrained Monotonicity and the Measurement of Power

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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.