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Comparing orders, rankings, queues, tournaments and lists

Author

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  • Can, B.

    (Microeconomics & Public Economics)

  • Storcken, A.J.A.

    (Quantitative Economics)

Abstract

We study measures on orders that are based on the swaps needed to convert one order into the other. Two classes of of such measures are characterized. In one class, the necessary swaps between orders are weighted by their positions in the orders. In the other class, these swaps are weighted by the alternatives involved in these swaps. The results are realized by means of the betweenness condition and several other natural or well-known derivates. As the axioms are formulated on abstract domains of orders, they apply to all well-known sets of orderings. As a by-product we also show some logical dependencies in the well established characterization result of Kemeny (1959).

Suggested Citation

  • 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).
  • Handle: RePEc:unm:umagsb:2015020
    DOI: 10.26481/umagsb.2015020
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    References listed on IDEAS

    as
    1. Can, Burak, 2014. "Weighted distances between preferences," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 109-115.
    2. Can, Burak & Storcken, Ton, 2018. "A re-characterization of the Kemeny distance," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 112-116.
    3. Storcken, A.J.A. & de Swart, H.C.M., 1992. "Towards an axiomatization of orderings," Other publications TiSEM 1edaa4f9-ee9c-4eb4-8119-0, Tilburg University, School of Economics and Management.
    4. Storcken, A.J.A. & de Swart, H.C.M., 1992. "Towards an axiomatization of orderings," Research Memorandum FEW 552, Tilburg University, School of Economics and Management.
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    Cited by:

    1. Gilbert Laffond & Jean Lainé & M. Remzi Sanver, 2020. "Metrizable preferences over preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(1), pages 177-191, June.
    2. Bhattacharya, Mihir & Gravel, Nicolas, 2021. "Is the preference of the majority representative ?," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 87-94.
    3. Baser, Onur, 2021. "Population density index and its use for distribution of Covid-19: A case study using Turkish data," Health Policy, Elsevier, vol. 125(2), pages 148-154.
    4. 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.
    5. Bhattacharya, Mihir & Gravel, Nicolas, 2021. "Is the preference of the majority representative ?," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 87-94.
    6. Mihir Bhattacharya & Nicolas Gravel, 2019. "Is the Preference of the Majority Representative?," Working Papers 1028, Ashoka University, Department of Economics.

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