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

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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