Higher Social Choice

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticas
dc.contributor.authorMacías Virgós, Enrique
dc.contributor.authorPereira Sáez, María José
dc.contributor.authorSimón García, Ignacio
dc.date.accessioned2025-06-20T07:08:44Z
dc.date.available2025-06-20T07:08:44Z
dc.date.issued2025-01-24
dc.description.abstractThe problem of finding a social choice function in a given space of preferences has been dominated by Arrow’s and Chichilnisky’s Impossibility Theorems. Based on previous work by Carrasquel, Lupton and Oprea, in this paper, we use tools from Algebraic Topology to introduce a notion of higher social choice complexity that determines the minimum number of local social choices that must be aggregated to cover all possible individual preferences. We prove that this invariant is bounded between two known topological invariants, the higher topological complexity and its symmetric version. This result shifts the focus onto the topological structure of the preference space when studying social choice processes.
dc.description.peerreviewedSI
dc.description.sponsorshipOpen Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The first and second authors were partially supported by MINECO and FEDER research project PID2020-MTM-114474GB-I00. The first author was partially supported by Xunta de Galicia ED431C 2019/10.
dc.identifier.citationMacías-Virgós, E., Pereira-Sáez, M.J. & Simón-García, I. Higher Social Choice. Mediterr. J. Math. 22, 31 (2025). https://doi.org/10.1007/s00009-024-02792-0
dc.identifier.doi10.1007/s00009-024-02792-0
dc.identifier.issn1660-5446
dc.identifier.urihttps://hdl.handle.net/10347/42199
dc.issue.number31
dc.journal.titleMediterranean Journal of Mathematics
dc.language.isoeng
dc.page.final19
dc.page.initial1
dc.publisherSpringer
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-114474GB-I00/ES/TEORIA DE MORSE, TOPOLOGIA, ANALISIS Y DINAMICA/
dc.relation.publisherversionhttps://doi.org/10.1007/s00009-024-02792-0
dc.rightsThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
dc.rightsAttribution 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectAlgebraic Topology
dc.subjectAlgorithmic Complexity
dc.subjectPublic Choice and Political Economy
dc.subjectSocial Choice and Welfare
dc.subjectTopology
dc.subjectComparative Social Policy
dc.titleHigher Social Choice
dc.typejournal article
dc.type.hasVersionVoR
dc.volume.number22
dspace.entity.typePublication
relation.isAuthorOfPublicationafea46f4-a185-4a11-a2d1-a7e30d36a5d4
relation.isAuthorOfPublication.latestForDiscoveryafea46f4-a185-4a11-a2d1-a7e30d36a5d4

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