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

L. M. Armijos Toro, J. M. Alonso Meijide, B. V. Casas Méndez, M. A. Mosquera

Based on the Public Good power index, Colomer-Martínez power measure, and the characterization on Colomer-Martínez power measure, we propose two power measures to evaluate the influence of the players in the class of weighted majority games in partition function form. We compare the new power measure with their original versions in the class of games in characteristic function form. Finally, we use both new power measures and the Public Good and Deegan-Packel 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.

Keywords: Weighted majority games, Partition function form games, Minimal winning embedded coalitions, Deegan-Packel power index, Colomer-Martínez power measure, Public Good power index

Game Theory
June 12, 2025  7:00 PM
Mr 2

M. Chacón Falcón, T. Guy, M. Karny, D. Ríos Insua

A. Bernárdez Ferradás, M. Á. Mirás Calvo, C. Quinteiro Sandomingo, E. Sánchez Rodríguez

V. Deibe Blanco, M. J. Campuzano, R. ACOSTA

D. Nieto-Barba, I. Montes, E. Miranda

D. Samaniego Vidal, S. Kurz