On weights and quotas for weighted majority voting games
In this paper, we analyze the frequency distributions of weights and quotas in weighted majority voting games (WMVG) up to eight players. We also show different procedures that allow us to obtain some minimum or minimum sum representations of WMVG, for any desired number of players, starting from a...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/362609 |
| Acesso em linha: | https://hdl.handle.net/2117/362609 https://dx.doi.org/10.3390/g12040091 |
| Access Level: | acceso abierto |
| Palavra-chave: | Game theory Voting -- Mathematical models Weighted majority voting games Experiments Minimum (sum) representation Canonical representation Quotas and weights Jocs, Teoria de Vot -- Models matemàtics Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| Resumo: | In this paper, we analyze the frequency distributions of weights and quotas in weighted majority voting games (WMVG) up to eight players. We also show different procedures that allow us to obtain some minimum or minimum sum representations of WMVG, for any desired number of players, starting from a minimum or minimum sum representation. We also provide closed formulas for the number of WMVG with n players having a minimum representation with quota up to three, and some subclasses of this family of games. Finally, we complement these results with some upper bounds related to weights and quotas. |
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