Theory and Decision

, Volume 50, Issue 4, pp 383–395

Constrained Monotonicity and the Measurement of Power

  • Manfred J. Holler
  • Rie Ono
  • Frank Steffen
Article

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.

Voting Power Indices Public Good Index Local Monotonocity Player-Constrained Local Monotonicity Partial Local Monotonicity 

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Copyright information

© Kluwer Academic Publishers 2001

Authors and Affiliations

  • Manfred J. Holler
    • 1
  • Rie Ono
    • 1
  • Frank Steffen
    • 1
  1. 1.Institute of SocioEconomicsUniversity of HamburgHamburgGermany

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