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 wei...
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| Veröffentlicht in: | Annals of operations research 2024-05, Vol.336 (3), p.1373-1393 |
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| container_title | Annals of operations research |
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| creator | Armijos-Toro, Livino M. Alonso-Meijide, José M. Mosquera, Manuel A. |
| description | 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. |
| doi_str_mv | 10.1007/s10479-023-05340-3 |
| format | Article |
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| subjects | Business and Management Combinatorics Games Operations research Operations Research/Decision Theory Original Research Public good Theory of Computation |
| title | Mergeable weighted majority games and characterizations of some power indices |
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