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Computation of several power indices by generating functions

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10.1016/j.amc.2012.10.021
 
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hdl:2117/17925

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Alonso Meijide, José María
Freixas Bosch, JosepMés informacióMés informacióMés informació
Molinero Albareda, XavierMés informacióMés informacióMés informació
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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