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arXiv · 2402.06298

Mergeable weighted majority games and characterizations of some power indices

Livino M. Armijos-Toro·José M. Alonso-Meijide·Manuel A. Mosquera
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Abstract

In this paper, we introduce a notion of mergeable weighted majority games with the aim of providing the first characterization of the Colomer-Mart\'inez power index (Colomer and Mart\'inez 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-Mart\'inez power indices. Finally, we analyze the National Assembly of Ecuador using these and some other well-known power indices.

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Livino M. Armijos-Toro, José M. Alonso-Meijide, Manuel A. Mosquera. 2024-02-09. Mergeable weighted majority games and characterizations of some power indices. https://doi.org/10.1007/s10479-023-05340-3

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