A weak version of Barberà-Kelly's Theorem
Lifting preferences over candidates to preferences over sets of candidates allows us to give a very natural notion of manipulability for social choice functions. In particular, we give simple conditions over the liftings entailing the manipulability of reasonable social choice functions. Our result...
- Autores:
-
Leal, Jahn Franklin
Pino Pérez, Ramón
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66430
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66430
http://bdigital.unal.edu.co/67458/
- Palabra clave:
- 51 Matemáticas / Mathematics
Preferences
Manipulation
Social Choice
Merging
Preferencias
Manipulación
Elección Social
Fusión
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Leal, Jahn Franklin7febb457-f19d-49d0-be95-dbd2e482c86b300Pino Pérez, Ramón3ef280d9-0c48-4f14-92b9-5e094ee49f7e3002019-07-03T02:06:48Z2019-07-03T02:06:48Z2017-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66430http://bdigital.unal.edu.co/67458/Lifting preferences over candidates to preferences over sets of candidates allows us to give a very natural notion of manipulability for social choice functions. In particular, we give simple conditions over the liftings entailing the manipulability of reasonable social choice functions. Our result is a weak version of Barberà and Kelly's Theorem, indeed it can be obtained from this last Theorem. However, we give a direct and very natural proof of our manipulability Theorem which is informative about the nature of the liftings allowing manipulability.Transferir preferencias sobre candidatos a preferencias sobre conjuntos de candidatos permite dar una noción muy natural de manipulación para funciones de elección social. En este trabajo damos condiciones sobre esas funciones de transferencia que implican la manipulabilidad de funciones de elección social con un mínimo de propiedades razonables. Nuestro resultado es una versión débil del teorema de Barberà y Kelly, de hecho puede ser obtenido como una consecuencia de éste. Sin embargo, damos una prueba directa y natural de nuestro teorema de manipulabilidad, la cual da una información clara sobre la naturaleza de las funciones de transferencia que permiten la manipulación.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/70900Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasLeal, Jahn Franklin and Pino Pérez, Ramón (2017) A weak version of Barberà-Kelly's Theorem. Revista Colombiana de Matemáticas, 51 (2). pp. 173-194. ISSN 2357-410051 Matemáticas / MathematicsPreferencesManipulationSocial ChoiceMergingPreferenciasManipulaciónElección SocialFusiónA weak version of Barberà-Kelly's TheoremArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL70900-375012-1-SM.pdfapplication/pdf469903https://repositorio.unal.edu.co/bitstream/unal/66430/1/70900-375012-1-SM.pdfe9ac34bceb1e10ea59eafb7103e10fa2MD51THUMBNAIL70900-375012-1-SM.pdf.jpg70900-375012-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5168https://repositorio.unal.edu.co/bitstream/unal/66430/2/70900-375012-1-SM.pdf.jpge60410d4f37e2004056e2ab24c40247cMD52unal/66430oai:repositorio.unal.edu.co:unal/664302024-05-16 23:09:22.945Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
A weak version of Barberà-Kelly's Theorem |
| title |
A weak version of Barberà-Kelly's Theorem |
| spellingShingle |
A weak version of Barberà-Kelly's Theorem 51 Matemáticas / Mathematics Preferences Manipulation Social Choice Merging Preferencias Manipulación Elección Social Fusión |
| title_short |
A weak version of Barberà-Kelly's Theorem |
| title_full |
A weak version of Barberà-Kelly's Theorem |
| title_fullStr |
A weak version of Barberà-Kelly's Theorem |
| title_full_unstemmed |
A weak version of Barberà-Kelly's Theorem |
| title_sort |
A weak version of Barberà-Kelly's Theorem |
| dc.creator.fl_str_mv |
Leal, Jahn Franklin Pino Pérez, Ramón |
| dc.contributor.author.spa.fl_str_mv |
Leal, Jahn Franklin Pino Pérez, Ramón |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Preferences Manipulation Social Choice Merging Preferencias Manipulación Elección Social Fusión |
| dc.subject.proposal.spa.fl_str_mv |
Preferences Manipulation Social Choice Merging Preferencias Manipulación Elección Social Fusión |
| description |
Lifting preferences over candidates to preferences over sets of candidates allows us to give a very natural notion of manipulability for social choice functions. In particular, we give simple conditions over the liftings entailing the manipulability of reasonable social choice functions. Our result is a weak version of Barberà and Kelly's Theorem, indeed it can be obtained from this last Theorem. However, we give a direct and very natural proof of our manipulability Theorem which is informative about the nature of the liftings allowing manipulability. |
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2017 |
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2017-07-01 |
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2019-07-03T02:06:48Z |
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2019-07-03T02:06:48Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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Text |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/66430 |
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http://bdigital.unal.edu.co/67458/ |
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ISSN: 2357-4100 |
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https://repositorio.unal.edu.co/handle/unal/66430 http://bdigital.unal.edu.co/67458/ |
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spa |
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spa |
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https://revistas.unal.edu.co/index.php/recolma/article/view/70900 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.references.spa.fl_str_mv |
Leal, Jahn Franklin and Pino Pérez, Ramón (2017) A weak version of Barberà-Kelly's Theorem. Revista Colombiana de Matemáticas, 51 (2). pp. 173-194. ISSN 2357-4100 |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
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Universidad Nacional de Colombia |
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