On alpha-roughly weighted games
Very recently Gvozdeva, Hemaspaandra, and Slinko (2011) h ave introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of weighted voting games or roughly weighted voting games. Their third class C aconsists of all simple games permitting a w...
| Autores: | , |
|---|---|
| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/103235 |
| Acceso en línea: | https://hdl.handle.net/2117/103235 |
| Access Level: | acceso abierto |
| Palabra clave: | Game theory Voting--Mathematical models Simple game Weighted majority game Complete simple game Roughly weighted game Voting theory Hierarchy Jocs, Teoria de Vot -- Models matemàtics Classificació AMS::91 Game theory, economics, social and behavioral sciences::91B Mathematical economics Classificació AMS::91 Game theory, economics, social and behavioral sciences::91C Social and behavioral sciences: general topics Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
| Sumario: | Very recently Gvozdeva, Hemaspaandra, and Slinko (2011) h ave introduced three hierarchies for simple games in order to measure the distance of a given simple game to the class of weighted voting games or roughly weighted voting games. Their third class C aconsists of all simple games permitting a weighted representation such that each winnin g coalition has a weight of at least 1 and each losing coalition a weight of at most a. We continue their work and contribute some new results on the possible values of a for a given number of voters. |
|---|