Pairwise consensus and Borda rule

Muhammad Mahajne and Oscar Volij ()
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Muhammad Mahajne: GATE Lyon Saint-Étienne - Groupe d'Analyse et de Théorie Economique Lyon - Saint-Etienne - ENS de Lyon - École normale supérieure de Lyon - Université de Lyon - UL2 - Université Lumière - Lyon 2 - UJM - Université Jean Monnet - Saint-Étienne - CNRS - Centre National de la Recherche Scientifique

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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 distance of the profile to the former is not greater than its distance to the latter. We say that a social choice rule satisfies the pairwise consensus property if it selects the top ranked alternative in the preference relation around which there is such a consensus. We show that the Borda rule is the unique scoring rule that satisfies this property.

Keywords: Consensus; Borda rule; scoring rules (search for similar items in EconPapers)
Date: 2021
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-03110302v1
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Related works:
Working Paper: Pairwise consensus and Borda rule (2021)
Working Paper: PAIRWISE CONSENSUS AND THE BORDA RULE (2020)
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