Computation of several power indices by generating functions

Alonso Meijide, José María; Freixas Bosch, Josep; Molinero Albareda, Xavier

doi:10.1016/j.amc.2012.10.021

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Alonso Meijide, José María

Freixas Bosch, Josep

Molinero Albareda, Xavier

Document typeArticle

Defense date2012

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

Abstract

In this paper we propose methods to compute the Deegan-Packel, the Public Good, and the Shift power indices by generating functions for the particular case of weighted voting games. Furthermore, we define a new power index which combines the ideas of the Shift and the Deegan-Packel power indices and also propose a method to compute it with generating functions. We conclude by some comments about the complexity to compute these power indices.

CitationAlonso, J.; Freixas, J.; Molinero, X. Computation of several power indices by generating functions. "Applied mathematics and computation", 2012, vol. 219, núm. 8, p. 3395-3402.

URIhttp://hdl.handle.net/2117/17925

DOI10.1016/j.amc.2012.10.021

ISSN0096-3003

Publisher versionhttp://www.sciencedirect.com/science/article/pii/S0096300312010089

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