A re-characterization of the Kemeny distance

Burak Can and A.J.A. Storcken
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A.J.A. Storcken: Quantitative Economics

No 9, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: The well-known swap distance (Kemeny (1959); Kendall (1938); 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, therefore, the original five conditions are not logically independent. We provide a new and logically independent characterization of the Kemeny distance and provide some insight to further analyze distance functions on preferences.

Date: 2013-01-01
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Citations: View citations in EconPapers (16)

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Journal Article: A re-characterization of the Kemeny distance (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2013009

DOI: 10.26481/umagsb.2013009

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