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dc.contributor.authorFreixas Bosch, Josep
dc.contributor.authorTchantcho, Bertrand
dc.contributor.authorTsague, Bill Procès
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2018-11-14T08:52:16Z
dc.date.available2020-11-01T01:25:46Z
dc.date.issued2019-02-28
dc.identifier.citationFreixas, J., Tchantcho, B., Proces, B. A parameterization for a class of complete games with abstention. "Discrete applied mathematics", 28 February 2019, vol. 255, p. 21-39.
dc.identifier.issn0166-218X
dc.identifier.urihttp://hdl.handle.net/2117/124189
dc.description.abstractVoting games with abstention are voting systems in which players can cast not only yes and no vote, but are allowed to abstain. This paper centers on the structure of a class of complete games with abstention. We obtain, a parameterization that can be useful for enumerating these games, up to isomorphism. Indeed, any I-complete game is determined by a vector of matrices with non-negative integers entries. It also allows us determining whether a complete game with abstention is a strongly weighted (3, 2) game or not, and for other purposes of interest in game theory.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject.lcshVoting -- Mathematical models
dc.subject.lcshVoting -- Abstention
dc.subject.other(3, 2) games
dc.subject.otherAbstention
dc.subject.otherDesirability relations
dc.subject.otherWeighted games and complete games
dc.titleA parameterization for a class of complete games with abstention
dc.typeArticle
dc.subject.lemacVot -- Models matemàtics
dc.subject.lemacAbstencionisme electoral
dc.contributor.groupUniversitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.identifier.doi10.1016/j.dam.2018.07.032
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::91 Game theory, economics, social and behavioral sciences::91A Game theory
dc.subject.amsClassificació AMS::05 Combinatorics::05C Graph theory
dc.subject.amsClassificació AMS::94 Information And Communication, Circuits::94C Circuits, networks
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0166218X18304396
dc.rights.accessOpen Access
local.identifier.drac23501090
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2015-66818-P/ES/ASPECTOS MATEMATICOS, COMPUTACIONALES Y SOCIALES EN CONTEXTOS DE VOTACION Y DE COOPERACION./
local.citation.authorFreixas, J.; Tchantcho, B.; Proces, B.
local.citation.publicationNameDiscrete applied mathematics
local.citation.volume255
local.citation.startingPage21
local.citation.endingPage39


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