On generating functions to compute some power measures for weighted majority games
Abstract In this paper we introduce new procedures, based on generating functions, for calculating some power measures for weighted majority games. In particular, we present methods for computing the Johnston index and the Colomer–Martínez measure. Besides, we introduce a new power measure that combines the principles underlying the Johnston index and Colomer–Martínez measure as well as a procedure for computing it using generating functions. Finally, we introduce the new R package and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example.
Authors
- Alejandro Saavedra–Nieves (ORCID: https://orcid.org/0000-0003-1251-6525)
- Manuel A. Mosquera (ORCID: https://orcid.org/0000-0002-4769-6119)
- L. M. Armijos-Toro (ORCID: https://orcid.org/0000-0001-8553-536X)
- J. M. Alonso-Meijide (ORCID: https://orcid.org/0000-0002-8723-1404)
Institutions
- Universidade de Santiago de Compostela (ES)
- Universidad Internacional del Ecuador (EC)
- Universidade de Vigo (ES)
Publication Details
- Journal
- Annals of Operations Research
- Published
- 2024-09-09
- DOI
- https://doi.org/10.1007/s10479-024-06191-2
- Citations
- 1
- Primary Topic
- Game Theory and Voting Systems
- Type
- article
- Field-Weighted Citation Impact
- 1.13
Funders
- Ministerio de Ciencia e Innovación
- Universidade de Vigo
- Xunta de Galicia
- European Regional Development Fund
- Agencia Estatal de Investigación