Abstract

A Condorcet domain is a set of rankings over a given candidate set, such that every election that consists only of (an odd number of) votes from the domain has a transitive majority relation. We study outer diversity of Condorcet domains, i.e., a measure that quantifies expected swap distance from a random vote to a closest one in the domain. We numerically analyze outer diversity for maximal Condorcet domains with few candidates, and then we establish its asymptotic behavior for several special domains, mostly obtaining theoretical results.

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Cite this article

APA 7

Faliszewski, P., Jabrocki, J., Słuszniak, M., Sornat, K., Szufa, S., & Wąs, T. (2026). Outer Diversity of Condorcet Domains. https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains

MLA 9

Faliszewski, Piotr, et al. "Outer Diversity of Condorcet Domains." https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains.

Chicago (author–date)

Faliszewski, Piotr, Jan Jabrocki, Mateusz Słuszniak, Krzysztof Sornat, Stanisław Szufa, and Tomasz Wąs. 2026. "Outer Diversity of Condorcet Domains." https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains.

Harvard

Faliszewski, P., Jabrocki, J., Słuszniak, M., Sornat, K., Szufa, S. and Wąs, T. (2026) 'Outer Diversity of Condorcet Domains', Available at: https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains.

Vancouver

Faliszewski P, Jabrocki J, Słuszniak M, Sornat K, Szufa S, Wąs T. Outer Diversity of Condorcet Domains. https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains

IEEE

P. Faliszewski, J. Jabrocki, M. Słuszniak, K. Sornat, S. Szufa, and T. Wąs, "Outer Diversity of Condorcet Domains," https://omanscience.com/en/articles/outer-diversity-of-condorcet-domains.