|
Título:
|
Similarities and differences between success and decisiveness
|
|
Autor/a:
|
Freixas Bosch, Josep; Pons Vallès, Montserrat
|
|
Otros autores:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
|
Abstract:
|
We consider binary voting systems in which a probability distribution
over coalitions is known. In this broader context decisiveness is
an extension of the Penrose-Banzhaf index and success an extension of the Rae index for simple games. Although decisiveness and success are conceptually different we analyze their numerical behavior. The main result provides necessary and sufficient conditions for the ordinal equivalence of them. Indeed, under anonymous probability distributions they become ordinally equivalent. Moreover, it is proved that for these distributions, decisiveness and success respect the strength of the seats, whereas luckiness reverses the order. |
|
Abstract:
|
Peer Reviewed |
|
Materia(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
-Game theory
-Binary system (Mathematics)
-Voting--Mathematical models
-Rankings
-Success
-Decisiveness
-Single peaked preferences
-Jocs, Teoria de
-Sistema binari (Matemàtica)
-Vot -- Models matemàtics
-Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory |
|
Derechos:
|
|
|
Tipo de documento:
|
Artículo - Versión presentada
Objeto de conferencia |
|
Editor:
|
AA Publications
|
|
Compartir:
|
|
