Mostra el registre d'ítem simple
Probabilistic power indices for voting rules with abstention
dc.contributor.author | Freixas Bosch, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2012-06-27T12:46:37Z |
dc.date.created | 2012-07 |
dc.date.issued | 2012-07 |
dc.identifier.citation | Freixas, J. Probabilistic power indices for voting rules with abstention. "Mathematical social sciences", Juliol 2012, vol. 64, núm. 1, p. 89-99. |
dc.identifier.issn | 0165-4896 |
dc.identifier.uri | http://hdl.handle.net/2117/16144 |
dc.description.abstract | In this paper, we introduce eight power indices that admit a probabilistic interpretation for voting rules with abstention or with three levels of approval in the input, briefly (3, 2) games.Weanalyze the analogies and discrepancies between standard known indices for simple games and the proposed extensions for this more general context. A remarkable difference is that for (3, 2) games the proposed extensions of the Banzhaf index, Coleman index to prevent action and Coleman index to initiate action become non-proportional notions, contrarily to what succeeds for simple games. We conclude the work by providing procedures based on generating functions for weighted (3, 2) games, and extensible to (j,k) games, to efficiently compute them. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.publisher | North Holland Mathematical Library |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs |
dc.subject.lcsh | Game theory |
dc.subject.lcsh | Probability |
dc.subject.lcsh | Voting -- Mathematical models |
dc.subject.lcsh | Voting -- Abstention |
dc.subject.lcsh | Decision making -- Mathematical models |
dc.title | Probabilistic power indices for voting rules with abstention |
dc.type | Article |
dc.subject.lemac | Jocs, Teoria de |
dc.subject.lemac | Probabilitats |
dc.subject.lemac | Vot -- Models matemàtics |
dc.subject.lemac | Decisió, Presa de -- Models matemàtics |
dc.subject.lemac | Abstencionisme electoral |
dc.contributor.group | Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs |
dc.identifier.doi | 10.1016/j.mathsocsci.2012.01.005 |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S016548961200008X |
dc.rights.access | Open Access |
local.identifier.drac | 10508610 |
dc.description.version | Postprint (author’s final draft) |
dc.date.lift | 10000-01-01 |
local.citation.author | Freixas, J. |
local.citation.publicationName | Mathematical social sciences |
local.citation.volume | 64 |
local.citation.number | 1 |
local.citation.startingPage | 89 |
local.citation.endingPage | 99 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.268]
-
Articles de revista [110]