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A re-characterization of the Kemeny distance

  • Storcken A.J.A.
  • Can B.

    (GSBE)

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 fi ve 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.

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File URL: http://pub.maastrichtuniversity.nl/5bc99848-9276-4cd5-95fc-88162618ab20
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Paper provided by Maastricht University, Graduate School of Business and Economics (GSBE) in its series Research Memorandum with number 009.

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Date of creation: 2013
Date of revision:
Handle: RePEc:unm:umagsb:2013009
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