The largest Condorcet domain on 8 alternatives
Bibliographic Data
| ID | 21470517 |
|---|---|
| Authors | Charles Leedham-Green, C R Leedham-Green (Queen Mary University of London), Klas Markström (0000-0002-6344-1642, Umeå University), Søren Rii (0000-0003-0697-4116, Queen Mary University of London, corresponding author) |
| Year | 2024 |
| Volume | 62 |
| Issue | 1 |
| Pages | 109-116 |
| Publication date | 2024-02-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Social Choice and Welfare (JOURNAL) |
| Journal identifiers | ISSN: 0176-1714 • E-ISSN: 1432-217X |
| Publisher | Springer Science and Business Media LLC (PUBLISHER) |
| DOI | 10.1007/s00355-023-01481-3 |
| OpenAlex | W4386443235 |
| Language | EN |
| Citations received | 1 |
| References cited | 14 |
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
Condorcet method · Mathematical analysis · Mathematical economics · Political science · Voting · Complexity and Algorithms in Graphs · Game Theory and Voting Systems · Law · Logic, Reasoning, and Knowledge · Mathematics
| Citations per year | 1 |
|---|---|
| Citation span | 2025 - 2025 (1) |
| Highly cited | No |