Mergeable weighted majority games and characterizations of some power indices
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910324124286976 |
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| author | Armijos-Toro, Livino M. Alonso-Meijide, José M. Mosquera, Manuel A. |
| author_facet | Armijos-Toro, Livino M. Alonso-Meijide, José M. Mosquera, Manuel A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mergeable weighted majority games and characterizations of some power indices Armijos-Toro, Livino M. Alonso-Meijide, José M. Mosquera, Manuel A. Computer Science and Game Theory Optimization and Control 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. |
| title | Mergeable weighted majority games and characterizations of some power indices |
| topic | Computer Science and Game Theory Optimization and Control |
| url | https://arxiv.org/abs/2402.06298 |