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A re-characterization of the Kemeny distance

Author

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  • Storcken A.J.A.
  • Can B.

    (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 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.

Suggested Citation

  • Storcken A.J.A. & Can B., 2013. "A re-characterization of the Kemeny distance," Research Memorandum 009, Maastricht University, Graduate School of Business and Economics (GSBE).
  • Handle: RePEc:unm:umagsb:2013009
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    Citations

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    Cited by:

    1. Walter Bossert & Burak Can & Conchita D’Ambrosio, 2016. "Measuring rank mobility with variable population size," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(4), pages 917-931, April.
    2. Walter Bossert & Burak Can & Conchita D'Ambrosio, 2016. "A head-count measure of rank mobility and its directional decomposition," Working Papers 424, ECINEQ, Society for the Study of Economic Inequality.
    3. Kikuchi, Kazuya, 2016. "Comparing preference orders: Asymptotic independence," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 1-5.
    4. Can, B., 2013. "Distance rationalizability of scoring rules," Research Memorandum 068, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Burak Can & Peter Csoka & Emre Ergin, 2017. "How to choose a non-manipulable delegation?," IEHAS Discussion Papers 1713, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
    6. Ali Ihsan Ozkes, 2013. "Preferential Polarization Measures," Working Papers hal-00875949, HAL.
    7. repec:wsi:nmncxx:v:11:y:2015:i:03:n:s1793005715500088 is not listed on IDEAS
    8. Can, Burak & Csóka, Péter & Ergin, Emre, 2017. "How to choose a delegation for a peace conference?," Research Memorandum 008, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Can B. & Storcken A.J.A., 2015. "Comparing orders, rankings, queues, tournaments and lists," Research Memorandum 020, Maastricht University, Graduate School of Business and Economics (GSBE).

    More about this item

    Keywords

    Equity; Justice; Inequality; and Other Normative Criteria and Measurement; Social Choice; Clubs; Committees; Associations; Political Processes: Rent-seeking; Lobbying; Elections; Legislatures; and Voting Behavior;

    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

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