Mergeable weighted majority games and characterizations of some power indices

Author:

Armijos-Toro Livino M.ORCID,Alonso-Meijide José M.ORCID,Mosquera Manuel A.ORCID

Abstract

AbstractIn 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.

Funder

Ministerio de Economía, Industria y Competitividad, Gobierno de España

Ministerio de Economìa, Industria y Competitividad, Gobierno de España

Xunta de Galicia

Ministerio de Ciencia e Innovación

Ministry of Science and Technology

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research,General Decision Sciences

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