Work

On generating functions to compute some power measures for weighted majority games

Year: 2024

Type: article

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.

Source: Annals of Operations Research

DOI: 10.1007/s10479-024-06191-2

Authors: L. M. Armijos-Toro, J. M. Alonso-Meijide, M. A. Mosquera, A. Saavedra-Nieves

Institutions: Universidade de Santiago de Compostela, Universidad Internacional del Ecuador, Universidade de Vigo

Language: English

Topic: Game Theory and Voting Systems

Subfield: Economics and Econometrics

Field: Economics, Econometrics and Finance

Domain: Social Sciences

Open Access status: hybrid

Estimated APC paid: $2,990