Generating functions: a useful tool for computing power indices

Autores: José María Alonso Meijide , Balbina Virginia Casas Méndez
Localización: BEIO, Boletín de Estadística e Investigación Operativa, ISSN 1889-3805, Vol. 25, Nº. 3, 2009, págs. 206-217
Idioma: español
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Resumen
- In the theory of simple games, the study of power indices plays an important role. One of the main difficulties with these indices is that computation generally requires the sum of a very large number of terms. The generating functions are efficient tools to make more easy this computation. In this paper, we provide a revision of the main elements of this method when we use it to compute the Shapley-Shubik and the Banzhaf- Coleman power indices. Further, we provide a new method to compute the Banzhaf-Coleman index.