The largest Condorcet domain on 8 alternatives

Charles Leedham-Green, Klas Markström and Søren Riis ()
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Charles Leedham-Green: Queen Mary University of London
Klas Markström: University of Umeå
Søren Riis: Queen Mary University of London

Social Choice and Welfare, 2024, vol. 62, issue 1, No 5, 109-116

Abstract: Abstract 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.

Date: 2024
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DOI: 10.1007/s00355-023-01481-3

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