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.
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.
| Original language | English |
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| Place of Publication | Maastricht |
| Publisher | Maastricht University, Graduate School of Business and Economics |
| DOIs | |
| Publication status | Published - 1 Jan 2013 |
Publication series
| Series | GSBE Research Memoranda |
|---|---|
| Number | 009 |