Pairwise consensus and the Borda rule

Muhammad Mahajne; Oscar Volij

doi:10.1016/j.mathsocsci.2021.12.001

Pairwise consensus and the Borda rule

Muhammad Mahajne, Oscar Volij

Department of Economics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	17-21
Number of pages	5
Journal	Mathematical Social Sciences
Volume	116
DOIs	https://doi.org/10.1016/j.mathsocsci.2021.12.001
State	Published - 1 Mar 2022

Keywords

Borda rule
Consensus
Kemeny distance
Scoring rules

ASJC Scopus subject areas

Sociology and Political Science
General Social Sciences
General Psychology
Statistics, Probability and Uncertainty

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10.1016/j.mathsocsci.2021.12.001

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AB - 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.

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KW - Kemeny distance

KW - Scoring rules

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Pairwise consensus and the Borda rule

Abstract

Keywords

ASJC Scopus subject areas

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