An application of power indices for the family of weighted majority games in partition function form
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arXiv
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| Format: | Preprint |
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2024
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| author | Alonso-Meijide, José M. Armijos-Toro, Livino M. Casas-Méndez, Balbina V. Mosquera, Manuel A. |
| author_facet | Alonso-Meijide, José M. Armijos-Toro, Livino M. Casas-Méndez, Balbina V. Mosquera, Manuel A. |
| contents | Based on Holler (1982) and Armijos-Toro et al. (2021) we propose two power indices to measure the influence of the players in the class of weighted majority games in partition function form. We compare these new power indices with their original versions on the class of games in characteristic function form. Finally, we use both pairs of power indices for games in partition function form to study the distribution of power in the National Assembly of Ecuador that emerged after the elections of February 7, 2021. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_06333 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An application of power indices for the family of weighted majority games in partition function form Alonso-Meijide, José M. Armijos-Toro, Livino M. Casas-Méndez, Balbina V. Mosquera, Manuel A. Computer Science and Game Theory Optimization and Control 91A12, 91A80 Based on Holler (1982) and Armijos-Toro et al. (2021) we propose two power indices to measure the influence of the players in the class of weighted majority games in partition function form. We compare these new power indices with their original versions on the class of games in characteristic function form. Finally, we use both pairs of power indices for games in partition function form to study the distribution of power in the National Assembly of Ecuador that emerged after the elections of February 7, 2021. |
| title | An application of power indices for the family of weighted majority games in partition function form |
| topic | Computer Science and Game Theory Optimization and Control 91A12, 91A80 |
| url | https://arxiv.org/abs/2402.06333 |