A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament

In 2013, Jiménez-Losada et al. introduced several extensions of the Myerson value for games with fuzzy communication structure. In a fuzzy communication structure the membership of the players and the relations among them are leveled. Now we study a Banzhaf value for these situations. The Myerson mo...

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Detalles Bibliográficos
Autores: Gallego Sánchez, Inés Magdalena, Fernández García, Julio R., Jiménez Losada, Andrés, Ordóñez Sánchez, Manuel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2014
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/161631
Acceso en línea:https://hdl.handle.net/11441/161631
https://doi.org/10.1016/j.fss.2013.12.012
Access Level:acceso abierto
Palabra clave:Game theory
Fuzzy graphs
Banzhaf value
Power indices
European Parliament
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spelling A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European ParliamentGallego Sánchez, Inés MagdalenaFernández García, Julio R.Jiménez Losada, AndrésOrdóñez Sánchez, ManuelGame theoryFuzzy graphsBanzhaf valuePower indicesEuropean ParliamentIn 2013, Jiménez-Losada et al. introduced several extensions of the Myerson value for games with fuzzy communication structure. In a fuzzy communication structure the membership of the players and the relations among them are leveled. Now we study a Banzhaf value for these situations. The Myerson model is followed to define the fuzzy graph Banzhaf value taking as base point the Choquet integral. We propose an axiomatization for this value introducing leveled amalgamation of players. An algorithm to calculate this value is provided and its complexity is studied. Finally we show an applied example computing by this fuzzy value the power of the groups in the European Parliament.ElsevierMatemática Aplicada IIFQM237: Juegos con Estructuras Combinatorias y de Orden2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/161631https://doi.org/10.1016/j.fss.2013.12.012reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFuzzy Sets and Systems, 255, 128-145.ECO2010-17766https://doi.org/10.1016/j.fss.2013.12.012info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1616312026-06-17T12:51:07Z
dc.title.none.fl_str_mv A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
title A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
spellingShingle A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
Gallego Sánchez, Inés Magdalena
Game theory
Fuzzy graphs
Banzhaf value
Power indices
European Parliament
title_short A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
title_full A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
title_fullStr A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
title_full_unstemmed A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
title_sort A Banzhaf value for games with fuzzy communication structure: Computing the power of the political groups in the European Parliament
dc.creator.none.fl_str_mv Gallego Sánchez, Inés Magdalena
Fernández García, Julio R.
Jiménez Losada, Andrés
Ordóñez Sánchez, Manuel
author Gallego Sánchez, Inés Magdalena
author_facet Gallego Sánchez, Inés Magdalena
Fernández García, Julio R.
Jiménez Losada, Andrés
Ordóñez Sánchez, Manuel
author_role author
author2 Fernández García, Julio R.
Jiménez Losada, Andrés
Ordóñez Sánchez, Manuel
author2_role author
author
author
dc.contributor.none.fl_str_mv Matemática Aplicada II
FQM237: Juegos con Estructuras Combinatorias y de Orden
dc.subject.none.fl_str_mv Game theory
Fuzzy graphs
Banzhaf value
Power indices
European Parliament
topic Game theory
Fuzzy graphs
Banzhaf value
Power indices
European Parliament
description In 2013, Jiménez-Losada et al. introduced several extensions of the Myerson value for games with fuzzy communication structure. In a fuzzy communication structure the membership of the players and the relations among them are leveled. Now we study a Banzhaf value for these situations. The Myerson model is followed to define the fuzzy graph Banzhaf value taking as base point the Choquet integral. We propose an axiomatization for this value introducing leveled amalgamation of players. An algorithm to calculate this value is provided and its complexity is studied. Finally we show an applied example computing by this fuzzy value the power of the groups in the European Parliament.
publishDate 2014
dc.date.none.fl_str_mv 2014
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/161631
https://doi.org/10.1016/j.fss.2013.12.012
url https://hdl.handle.net/11441/161631
https://doi.org/10.1016/j.fss.2013.12.012
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Fuzzy Sets and Systems, 255, 128-145.
ECO2010-17766
https://doi.org/10.1016/j.fss.2013.12.012
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812455

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