arXiv subjects

José M. Alonso-Meijide

Publications and source records attributed to José M. Alonso-Meijide.

2 recordsLinked to original sources

arXiv2024

An application of power indices for the family of weighted majority games in partition function form

Based on Holler (1982) and Armijos-Toro et al. (2021) we propose two power indices to measure the influence of the players in the class of weighted majority games in partition function form. We compare these new power indices with their original versions on the class of games in characteristic function form. Finally, we use both pairs of power indices for games in partition function form to study the distribution of power in the National Assembly of Ecuador that emerged after the elections of February 7, 2021.

cs.GT↗

arXiv2024

Mergeable weighted majority games and characterizations of some power indices

In this paper, we introduce a notion of mergeable weighted majority games with the aim of providing the first characterization of the Colomer-Martínez power index (Colomer and Martínez in J Theor Polit 7(1):41-63, 1995). Furthermore, we define and characterize a new power index for the family of weighted majority games that combines ideas of the Public Good (Holler in Polit Stud 30(2):262-271, 1982) and Colomer-Martínez power indices. Finally, we analyze the National Assembly of Ecuador using these and some other well-known power indices.

cs.GT↗