A re-characterization of the Kemeny distance

Burak Can and Ton Storcken

Journal of Mathematical Economics, 2018, vol. 79, issue C, 112-116

Abstract: The well-known swap distance (Kemeny, 1959; Kendall, 1938 and Hamming, 1950) is analyzed. On weak preferences, this function was characterized by Kemeny (1959) with five conditions; metric, betweenness, neutrality, reducibility, and normalization. We show that the same result can be achieved without the reducibility condition, which shows the Kemeny distance is much less demanding than it seems. We provide a new and logically independent characterization of the Kemeny distance and provide some insight to further analyze distance functions on preferences.

Keywords: Kemeny distance; Swap distance; Inversion metric; Preferences (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:79:y:2018:i:c:p:112-116

DOI: 10.1016/j.jmateco.2018.04.007

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