A re-characterization of the Kemeny distance
AbstractThe 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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Bibliographic InfoPaper provided by Maastricht : GSBE, Graduate School of Business and Economics in its series Research Memorandum with number 009.
Date of creation: 2013
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Web page: http://www.maastrichtuniversity.nl/web/UMPublications.htm
Equity; Justice; Inequality; and Other Normative Criteria and Measurement; Social Choice; Clubs; Committees; Associations; Political Processes: Rent-seeking; Lobbying; Elections; Legislatures; and Voting Behavior;
Find related papers by JEL classification:
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-16 (All new papers)
- NEP-CDM-2013-06-16 (Collective Decision-Making)
- NEP-POL-2013-06-16 (Positive Political Economics)
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