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oai:recercat.cat:2117/179252026-02-02T04:55:52Zcom_2072_1033col_2072_452950

Computation of several power indices by generating functions Alonso Meijide, José María Freixas Bosch, Josep Molinero Albareda, Xavier Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs Universitat Politècnica de Catalunya. ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs Simple games, Weighted voting games, Power indices, Generating functions Game theory Jocs, Teoria de Classificació AMS::91 Game theory, economics, social and behavioral sciences 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. Peer Reviewed Postprint (author’s final draft) 2012 Article Alonso, 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. 0096-3003 https://hdl.handle.net/2117/17925 10.1016/j.amc.2012.10.021 eng http://www.sciencedirect.com/science/article/pii/S0096300312010089 Open Access 8 p. application/pdf