Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems
We introduce a novel principle that we call weak pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard–Satterthwaite theorem and Arrow’s impossibility theorem are predicated,...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:10256/26378 |
| Acceso en línea: | http://hdl.handle.net/10256/26378 |
| Access Level: | acceso abierto |
| Palabra clave: | Gibbard-Satterthwaite, Teoria de Gibbard-Satterthwaite theory Arrow, Paradoxa de Arrow paradox Decisió multicriteri Multiple criteria decision making |
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Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theoremsBarberà, SalvadorBerga, DolorsMoreno, BernardoNicolò, AntonioGibbard-Satterthwaite, Teoria deGibbard-Satterthwaite theoryArrow, Paradoxa deArrow paradoxDecisió multicriteriMultiple criteria decision makingWe introduce a novel principle that we call weak pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard–Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders (also for strict)Open Access funding provided thanks to the CRUE-CSIC agreement with Springer NatureSpringer2025info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionpeer-reviewedapplication/pdfhttp://hdl.handle.net/10256/26378http://hdl.handle.net/10256/26378Social Choice and Welfare, 2025, vol. undefined, p. nullArticles publicats (D-EC)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00355-024-01575-6info:eu-repo/semantics/altIdentifier/issn/0176-1714info:eu-repo/semantics/altIdentifier/eissn/1432-217XAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:recercat.cat:10256/263782026-05-29T05:05:01Z |
| dc.title.none.fl_str_mv |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| title |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| spellingShingle |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems Barberà, Salvador Gibbard-Satterthwaite, Teoria de Gibbard-Satterthwaite theory Arrow, Paradoxa de Arrow paradox Decisió multicriteri Multiple criteria decision making |
| title_short |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| title_full |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| title_fullStr |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| title_full_unstemmed |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| title_sort |
Weak pairwise justifiability as a common root of Arrow’s and the Gibbard–Satterthwaite theorems |
| dc.creator.none.fl_str_mv |
Barberà, Salvador Berga, Dolors Moreno, Bernardo Nicolò, Antonio |
| author |
Barberà, Salvador |
| author_facet |
Barberà, Salvador Berga, Dolors Moreno, Bernardo Nicolò, Antonio |
| author_role |
author |
| author2 |
Berga, Dolors Moreno, Bernardo Nicolò, Antonio |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Gibbard-Satterthwaite, Teoria de Gibbard-Satterthwaite theory Arrow, Paradoxa de Arrow paradox Decisió multicriteri Multiple criteria decision making |
| topic |
Gibbard-Satterthwaite, Teoria de Gibbard-Satterthwaite theory Arrow, Paradoxa de Arrow paradox Decisió multicriteri Multiple criteria decision making |
| description |
We introduce a novel principle that we call weak pairwise justifiability, which applies to a large class of collective choice rules, including the social choice functions and the social welfare functions about which the Gibbard–Satterthwaite theorem and Arrow’s impossibility theorem are predicated, respectively. We prove that, under appropriate qualifications, our principle is a common root for these two classical results, when applied to rules defined over the full domain of weak preference orders (also for strict) |
| publishDate |
2025 |
| dc.date.none.fl_str_mv |
2025 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion peer-reviewed |
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article |
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publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/10256/26378 http://hdl.handle.net/10256/26378 |
| url |
http://hdl.handle.net/10256/26378 |
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Inglés |
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Inglés |
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info:eu-repo/semantics/altIdentifier/doi/10.1007/s00355-024-01575-6 info:eu-repo/semantics/altIdentifier/issn/0176-1714 info:eu-repo/semantics/altIdentifier/eissn/1432-217X |
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Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess |
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Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
Springer |
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Springer |
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Social Choice and Welfare, 2025, vol. undefined, p. null Articles publicats (D-EC) reponame:Recercat. Dipósit de la Recerca de Catalunya instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
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Recercat. Dipósit de la Recerca de Catalunya |
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Recercat. Dipósit de la Recerca de Catalunya |
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15,811543 |