Template-type: ReDif-Paper 1.0
Author-Name: Can, B.
Author-workplace-name: Microeconomics & Public Economics
Author-Name: Storcken, A.J.A.
Author-workplace-name: Quantitative Economics
Title: A re-characterization of the Kemeny distance
Abstract: The well-known swap distance (Kemeny (1959); Kendall (1938); Hamming (1950)) is analyzed.<br/>On weak preferences, this function was characterized by Kemeny (1959) with five conditions;<br/>metric, betweenness, neutrality, reducibility, and normalization. We show that the same result<br/>can be achieved without the reducibility condition, therefore, the original five conditions are<br/>not logically independent. We provide a new and logically independent characterization of the<br/>Kemeny distance and provide some insight to further analyze distance functions on preferences.
Series: GSBE Research Memoranda
Creation-Date: 20130101
Number: 009
File-URL: https://cris.maastrichtuniversity.nl/ws/files/1523507/guid-5bc99848-9276-4cd5-95fc-88162618ab20-ASSET1.0.pdf
File-Format: application/pdf
File-Size: 362837
Handle: Repec:unm:umagsb:2013009
DOI: 10.26481/umagsb.2013009