dc.contributor.author Carreras Escobar, Francisco dc.contributor.author Freixas Bosch, Josep dc.contributor.author Puente del Campo, María Albina dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III dc.date.accessioned 2011-10-14T16:58:43Z dc.date.available 2011-10-14T16:58:43Z dc.date.created 2011 dc.date.issued 2011 dc.identifier.citation Carreras, F.; Freixas, J.; Puente, M.A. A note on decisive symmetric games. "Decision support systems", 2011, vol. 51, núm. 3, p. 424-433. dc.identifier.issn 0167-9236 dc.identifier.uri http://hdl.handle.net/2117/13512 dc.description.abstract Binary voting systems, usually represented by simple games, constitute a main DSS topic. A crucial feature of such a system is the easiness with which a proposal can be collectively accepted, which is measured by the “decisiveness index” of the corresponding game. We study here several functions related to the decisiveness of any simple game. The analysis, including the asymptotic behavior as the number n of players increases, is restricted to decisive symmetric games and their compositions, and it is assumed that all players have a common probability p to vote for the proposal. We show that, for n large enough, a small variation, either positive or negative, in p when p=1/2 takes the decisiveness to quickly approach, respectively, 1 or 0. Moreover, we analyze the speed of the decisiveness convergence. dc.format.extent 10 p. dc.language.iso eng dc.subject Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs dc.subject.lcsh Game theory dc.title A note on decisive symmetric games dc.type Article dc.subject.lemac Jocs, Teoria de dc.contributor.group Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs dc.identifier.doi 10.1016/j.dss.2010.10.005 dc.description.peerreviewed Peer Reviewed dc.subject.ams Classificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory dc.relation.publisherversion http://www.sciencedirect.com/science/article/pii/S0167923611000339 dc.rights.access Restricted access - publisher's policy local.identifier.drac 5744032 dc.description.version Postprint (published version) local.citation.author Carreras, F.; Freixas, J.; Puente, M.A. local.citation.publicationName Decision support systems local.citation.volume 51 local.citation.number 3 local.citation.startingPage 424 local.citation.endingPage 433
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