- ON THE CHOICE OF A POWER INDEX
Annick Laruelle ()
Working Papers. Serie AD from Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie)
Abstract:
In this paper, we review and compare the main power indices to be found in the literature, that is to say, the Shapley-Shubik index, the Banzhaf index, the Johnston index, the Deegan-Packel index, and the Holler-Packel index. Three diferent approaches are used. First, the power indices are compared on the basis of a priori properties that they should satisfy. Second, a players power indices are compared on the basis of a priori properties that they shoud satisfy. Second, a players power is interpreted as the probability of her or his vote being necessary to pass a proposal. We present two models consistent with this approach: a model in which this probability arises from the assumptions made on the coalition formation and model, in which it arises from the assumptions made on the players voting behavior. Third, a players power is dened as her or his probability of playing a crucial role. Some power indices are derived from diferent assessments concerning the probability of playing such a role. Illustrations of the choice of an index are given for actual decision-making processes.
Keywords: Collective Decision Making; Power Indices (search for similar items in EconPapers)
Pages: 27 pages
Date: 1999-05
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)
Published by Ivie
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http://www.ivie.es/downloads/docs/wpasad/wpasad-1999-10.pdf Fisrt version / Primera version, 1999 (application/pdf)
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Persistent link: https://EconPapers.repec.org/RePEc:ivi:wpasad:1999-10
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