Generating functions: a useful tool for computing power indices

Thumbnail Image

Files

2009_beio_alonso_generating.pdf (509.97 KB)
Identifiers
URI: http://hdl.handle.net/10347/18609
ISSN: 1889-3805
E-ISSN: 2387-1725

Publication date

2009

Authors

Advisors

Tutors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Sociedad de Estadística e Investigación Operativa
Metrics
Google Scholar
lacobus
Export

Research Projects

Organizational Units

Journal Issue

Abstract

In the theory of simple games, the study of power indices plays an important role. One of the main di culties with these indices is that computation generally requires the sum of a very large number of terms. The generating functions are e cient 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 BanzhafColeman power indices. Further, we provide a new method to compute the Banzhaf-Coleman index

Description

Keywords

Simple games| Power indices| Generating functions

Bibliographic citation

Alonso Meijide, J.M. & Casas Méndez, B. (2009). Generating functions: a useful tool for computing power indices. Boletín de Estadística e Investigación Operativa. Vol. 25, no. 3, pp. 206-217

Relation

Has part

Has version

Is based on

Is part of

Is referenced by

Is version of

Requires

Sponsors

Rights

© 2019 SEIO

Collections

MODESTYA
Estatística, Análise Matemática e Optimización