Asking infinite voters ‘Who is a J?’: Group Identification Problems in N

Autores
Fioravanti, Federico; Tohmé, Fernando Abel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
We analyze the problem of classifing individuals in a group N taking into account their opinions about which of them should belong to a specific subgroup N0 ⊆ N, in the case that |N| > ∞. We show that this problem is relevant in cases in which the group changes in time and/or is subject to uncertainty. The approach followed here to find the ensuing classification is by means of a Collective Identity Function (CIF) that maps the set of opinions into a subset of N. Kasher and Rubinstein (1997) characterized different CIFs axiomatically when |N| < ∞, in particular the Liberal and Oligarchic aggregators. We show that in the infinite setting the liberal result is still valid but the result no longer holds for the oligarchic case and give a characterization of all the aggregators satisfying the same axioms as the Oligarchic CIF. In our motivating examples, the solution obtained according to the alternative CIF is most cogent.
Fil: Fioravanti, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Tohmé, Fernando Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
VIII Congreso Nacional de Estudiantes de Postgrado en Economía
Argentina
Universidad Nacional del Sur. Departamento de Economía
Instituto de Investigaciones Económicas y Sociales del Sur
Materia
Infinite Voters
SOCIAL CHOICE
AGGREGATION
GROUP IDENTIFICATION PROBLEM
INFINITE VOTERS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/155085
Acceder
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spelling Asking infinite voters ‘Who is a J?’: Group Identification Problems in NFioravanti, FedericoTohmé, Fernando AbelInfinite VotersSOCIAL CHOICEAGGREGATIONGROUP IDENTIFICATION PROBLEMINFINITE VOTERShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We analyze the problem of classifing individuals in a group N taking into account their opinions about which of them should belong to a specific subgroup N0 ⊆ N, in the case that |N| > ∞. We show that this problem is relevant in cases in which the group changes in time and/or is subject to uncertainty. The approach followed here to find the ensuing classification is by means of a Collective Identity Function (CIF) that maps the set of opinions into a subset of N. Kasher and Rubinstein (1997) characterized different CIFs axiomatically when |N| < ∞, in particular the Liberal and Oligarchic aggregators. We show that in the infinite setting the liberal result is still valid but the result no longer holds for the oligarchic case and give a characterization of all the aggregators satisfying the same axioms as the Oligarchic CIF. In our motivating examples, the solution obtained according to the alternative CIF is most cogent.Fil: Fioravanti, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Tohmé, Fernando Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaVIII Congreso Nacional de Estudiantes de Postgrado en EconomíaArgentinaUniversidad Nacional del Sur. Departamento de EconomíaInstituto de Investigaciones Económicas y Sociales del SurUniversidad Nacional del Sur. Departamento de Economía2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectCongresoBookhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/155085Asking infinite voters ‘Who is a J?’: Group Identification Problems in N; VIII Congreso Nacional de Estudiantes de Postgrado en Economía; Argentina; 2017; 1-11978-987-1648-40-5CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://cnepe.blogspot.com/2017/info:eu-repo/semantics/altIdentifier/url/https://iiess.conicet.gov.ar/index.php/investigacion/publicaciones-grales/actas-e-informes/actasNacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:30:00Zoai:ri.conicet.gov.ar:11336/155085instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:30:01.14CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
title Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
spellingShingle Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
Fioravanti, Federico
Infinite Voters
SOCIAL CHOICE
AGGREGATION
GROUP IDENTIFICATION PROBLEM
INFINITE VOTERS
title_short Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
title_full Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
title_fullStr Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
title_full_unstemmed Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
title_sort Asking infinite voters ‘Who is a J?’: Group Identification Problems in N
dc.creator.none.fl_str_mv Fioravanti, Federico
Tohmé, Fernando Abel
author Fioravanti, Federico
author_facet Fioravanti, Federico
Tohmé, Fernando Abel
author_role author
author2 Tohmé, Fernando Abel
author2_role author
dc.subject.none.fl_str_mv Infinite Voters
SOCIAL CHOICE
AGGREGATION
GROUP IDENTIFICATION PROBLEM
INFINITE VOTERS
topic Infinite Voters
SOCIAL CHOICE
AGGREGATION
GROUP IDENTIFICATION PROBLEM
INFINITE VOTERS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We analyze the problem of classifing individuals in a group N taking into account their opinions about which of them should belong to a specific subgroup N0 ⊆ N, in the case that |N| > ∞. We show that this problem is relevant in cases in which the group changes in time and/or is subject to uncertainty. The approach followed here to find the ensuing classification is by means of a Collective Identity Function (CIF) that maps the set of opinions into a subset of N. Kasher and Rubinstein (1997) characterized different CIFs axiomatically when |N| < ∞, in particular the Liberal and Oligarchic aggregators. We show that in the infinite setting the liberal result is still valid but the result no longer holds for the oligarchic case and give a characterization of all the aggregators satisfying the same axioms as the Oligarchic CIF. In our motivating examples, the solution obtained according to the alternative CIF is most cogent.
Fil: Fioravanti, Federico. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Tohmé, Fernando Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
VIII Congreso Nacional de Estudiantes de Postgrado en Economía
Argentina
Universidad Nacional del Sur. Departamento de Economía
Instituto de Investigaciones Económicas y Sociales del Sur
description We analyze the problem of classifing individuals in a group N taking into account their opinions about which of them should belong to a specific subgroup N0 ⊆ N, in the case that |N| > ∞. We show that this problem is relevant in cases in which the group changes in time and/or is subject to uncertainty. The approach followed here to find the ensuing classification is by means of a Collective Identity Function (CIF) that maps the set of opinions into a subset of N. Kasher and Rubinstein (1997) characterized different CIFs axiomatically when |N| < ∞, in particular the Liberal and Oligarchic aggregators. We show that in the infinite setting the liberal result is still valid but the result no longer holds for the oligarchic case and give a characterization of all the aggregators satisfying the same axioms as the Oligarchic CIF. In our motivating examples, the solution obtained according to the alternative CIF is most cogent.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Congreso
Book
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/155085
Asking infinite voters ‘Who is a J?’: Group Identification Problems in N; VIII Congreso Nacional de Estudiantes de Postgrado en Economía; Argentina; 2017; 1-11
978-987-1648-40-5
CONICET Digital
CONICET
url http://hdl.handle.net/11336/155085
identifier_str_mv Asking infinite voters ‘Who is a J?’: Group Identification Problems in N; VIII Congreso Nacional de Estudiantes de Postgrado en Economía; Argentina; 2017; 1-11
978-987-1648-40-5
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
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dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.coverage.none.fl_str_mv Nacional
dc.publisher.none.fl_str_mv Universidad Nacional del Sur. Departamento de Economía
publisher.none.fl_str_mv Universidad Nacional del Sur. Departamento de Economía
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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