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 powerindexR and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example.