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The largest Condorcet domain on 8 alternatives
Queen Mary University of London, London, United Kingdom.
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Queen Mary University of London, London, United Kingdom.
2024 (English)In: Social Choice and Welfare, ISSN 0176-1714, E-ISSN 1432-217X, Vol. 62, no 1, p. 109-116Article in journal (Refereed) Published
Abstract [en]

In this note, we report on a Condorcet domain of record-breaking size for n = 8 alternatives. We show that there exists a Condorcet domain of size 224 and that this is the largest possible size for 8 alternatives. Our search also shows that this domain is unique up to isomorphism. In this note we investigate properties of the new domain and relate them to various open problems and conjectures.

Place, publisher, year, edition, pages
Springer Science+Business Media B.V., 2024. Vol. 62, no 1, p. 109-116
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:umu:diva-214392DOI: 10.1007/s00355-023-01481-3ISI: 001118965000001Scopus ID: 2-s2.0-85170046317OAI: oai:DiVA.org:umu-214392DiVA, id: diva2:1798423
Available from: 2023-09-19 Created: 2023-09-19 Last updated: 2024-05-10Bibliographically approved

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Markström, Klas

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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  • text
  • asciidoc
  • rtf