dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. ALBCOM - Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals
dc.contributor.author
Freixas Bosch, Josep
dc.contributor.author
Samaniego Vidal, Daniel
dc.date.accessioned
2026-03-26T06:46:46Z
dc.date.available
2026-03-26T06:46:46Z
dc.date.issued
2026-03-14
dc.identifier
Freixas, J.; Samaniego, D. On the enumeration of resolute majority rules. «Journal of combinatorial optimization», 14 Març 2026, vol. 51, núm. 2, article 31.
dc.identifier
https://ideas.repec.org/a/spr/jcomop/v51y2026i2d10.1007_s10878-026-01412-9.html
dc.identifier
https://hdl.handle.net/2117/459477
dc.identifier
10.1007/s10878-026-01412-9
dc.identifier.uri
https://hdl.handle.net/2117/459477
dc.description.abstract
This paper considers resolute decision rules in which each voter may vote “yes", “abstain" or vote “no", and the outcome is “yes" or “no". The model we consider is more general than that of simple games since the input admits abstention or indecision, but it is more specialized since it assumes the properties of monotonicity and anonymity. Many subclasses of these resolute decision rules have been studied in the literature from an axiomatic point of view. The purpose of this work is to enumerate these subclasses as a function of the number of voters.
dc.description.abstract
This research was partially supported by the Spanish Agencia Estatal de Investigación [PID-2020-112581GB-C21, MOTION] and the Agència de Gestió d’Ajuts Universitaris i de Recerca (AGAUR) of the Government of Catalonia under project 2017 SGR 786 (ALBCOM). We greatly appreciate the comments of two anonymous referees who have contributed to improve the presentation of this work.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (published version)
dc.format
application/pdf
dc.relation
https://link.springer.com/article/10.1007/s10878-026-01412-9
dc.relation
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-112581GB-C21/ES/MODELOS Y TECNICAS PARA EL PROCESAMIENTO DE INFORMACION A GRAN ESCALA -- BARCELONA/
dc.rights
http://creativecommons.org/licenses/by/4.0/
dc.rights
Attribution 4.0 International
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject
Resolute rules
dc.subject
Majority rules
dc.subject
Dedekind numbers
dc.subject
Classification of subclasses of resolute rules
dc.subject
Enumerations of subclasses of resolute rules
dc.title
On the enumeration of resolute majority rules
