An Application of Power Indices for the Family of Weighted Majority Games in Partition Function Form

J. M. Alonso-Meijide (), L. M. Armijos-Toro (), B. Casas-Méndez () and M. A. Mosquera ()
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J. M. Alonso-Meijide: University of Santiago de Compostela, Campus de Lugo
L. M. Armijos-Toro: Universidad de las Fuerzas Armadas ESPE
B. Casas-Méndez: University of Santiago de Compostela
M. A. Mosquera: Universidade de Vigo, Departamento de Estatística e Investigación Operativa

A chapter in Power and Responsibility, 2023, pp 143-164 from Springer

Abstract: Abstract Based on Holler (1982), Colomer and Martínez (1995), and Armijos-Toro et al. (2021), we propose two power indices to measure the influence of the players in these classes of weighted majority games in partition function form. We compare the new power indices with their original versions on the class of games in characteristic function form. Finally, we use both new power indices and the two power indices for games in partition function form studied in Alonso-Meijide et al. (2017) 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 index; Public Good power index; 91A12; 91A80 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-23015-8_8

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DOI: 10.1007/978-3-031-23015-8_8

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