A Note on a Group Preference Axiomatization with Cardinal Utility

Bibliographic Details
Main Author: Dias, Luís
Publication Date: 2012
Other Authors: Sarabando, Paula
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.19/2592
Summary: Kenneth Arrow’s work on social welfare proposed a set of conditions that a function to aggregate ordinal preferences of the members of a group should satisfy, proving that it was not possible to satisfy all these assumptions simultaneously. Later, Ralph Keeney adapted these conditions and proposed a cardinal utility axiomatization for the problem of aggregating the utility functions. This note discusses in particular the condition of nondictatorship. It proposes stronger formulations for this condition to limit the maximum influence that an individual can have, and it presents the corresponding characterization of compliant group cardinal utility functions. An extension to address coalitions of individuals acting strategically is also discussed.
id RCAP_781b1a769c07f60a0d60c4dd7e05939f
oai_identifier_str oai:repositorio.ipv.pt:10400.19/2592
network_acronym_str RCAP
network_name_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository_id_str https://opendoar.ac.uk/repository/7160
spelling A Note on a Group Preference Axiomatization with Cardinal Utilitygroup utility functionsmultiattribute utility theoryadditive modelKenneth Arrow’s work on social welfare proposed a set of conditions that a function to aggregate ordinal preferences of the members of a group should satisfy, proving that it was not possible to satisfy all these assumptions simultaneously. Later, Ralph Keeney adapted these conditions and proposed a cardinal utility axiomatization for the problem of aggregating the utility functions. This note discusses in particular the condition of nondictatorship. It proposes stronger formulations for this condition to limit the maximum influence that an individual can have, and it presents the corresponding characterization of compliant group cardinal utility functions. An extension to address coalitions of individuals acting strategically is also discussed.Instituto Politécnico de ViseuDias, LuísSarabando, Paula2015-02-06T10:25:32Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/2592eng1545-8490info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-06T13:57:19Zoai:repositorio.ipv.pt:10400.19/2592Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:10:32.098436Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A Note on a Group Preference Axiomatization with Cardinal Utility
title A Note on a Group Preference Axiomatization with Cardinal Utility
spellingShingle A Note on a Group Preference Axiomatization with Cardinal Utility
Dias, Luís
group utility functions
multiattribute utility theory
additive model
title_short A Note on a Group Preference Axiomatization with Cardinal Utility
title_full A Note on a Group Preference Axiomatization with Cardinal Utility
title_fullStr A Note on a Group Preference Axiomatization with Cardinal Utility
title_full_unstemmed A Note on a Group Preference Axiomatization with Cardinal Utility
title_sort A Note on a Group Preference Axiomatization with Cardinal Utility
author Dias, Luís
author_facet Dias, Luís
Sarabando, Paula
author_role author
author2 Sarabando, Paula
author2_role author
dc.contributor.none.fl_str_mv Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Dias, Luís
Sarabando, Paula
dc.subject.por.fl_str_mv group utility functions
multiattribute utility theory
additive model
topic group utility functions
multiattribute utility theory
additive model
description Kenneth Arrow’s work on social welfare proposed a set of conditions that a function to aggregate ordinal preferences of the members of a group should satisfy, proving that it was not possible to satisfy all these assumptions simultaneously. Later, Ralph Keeney adapted these conditions and proposed a cardinal utility axiomatization for the problem of aggregating the utility functions. This note discusses in particular the condition of nondictatorship. It proposes stronger formulations for this condition to limit the maximum influence that an individual can have, and it presents the corresponding characterization of compliant group cardinal utility functions. An extension to address coalitions of individuals acting strategically is also discussed.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2015-02-06T10:25:32Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.19/2592
url http://hdl.handle.net/10400.19/2592
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1545-8490
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833600428502155264

Similar Items