Pairwise consensus and the Borda rule

Muhammad Mahajne and Oscar Volij

Mathematical Social Sciences, 2022, vol. 116, issue C, 17-21

Abstract: We say that a preference profile exhibits pairwise consensus around some fixed preference relation, if whenever a preference relation is closer to it than another one, the Kemeny distance of the profile to the former is not greater than its distance to the latter. We show that if a preference profile exhibits pairwise consensus around a preference relation, then this preference relation coincides with the binary relation induced by the Borda count. We also show that no other scoring rule always selects the top ranked alternative of the preference relation around which there is consensus when such consensus exists.

Keywords: Consensus; Borda rule; Kemeny distance; Scoring rules (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0165489621001189
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:116:y:2022:i:c:p:17-21

DOI: 10.1016/j.mathsocsci.2021.12.001

Access Statistics for this article

Mathematical Social Sciences is currently edited by J.-F. Laslier

More articles in Mathematical Social Sciences from Elsevier
Bibliographic data for series maintained by Catherine Liu ().