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An axiomatic re-characterization of the Kemeny rule

Author

Listed:
  • Burak Can

    (Maastricht University)

  • Mohsen Pourpouneh

    (University of Copenhagen)

  • Ton Storcken

    (Maastricht University)

Abstract

The Kemeny rule is one of the well studied decision rules. In this paper we show that the Kemeny rule is the only rule which is unbiased, monotone, strongly tie-breaking, strongly gradual, and weighed tournamental. We show that these conditions are logically independent.

Suggested Citation

  • Burak Can & Mohsen Pourpouneh & Ton Storcken, 2022. "An axiomatic re-characterization of the Kemeny rule," Review of Economic Design, Springer;Society for Economic Design, vol. 26(3), pages 447-467, September.
    • Handle: RePEc:spr:reecde:v:26:y:2022:i:3:d:10.1007_s10058-021-00259-2
    DOI: 10.1007/s10058-021-00259-2
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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. Battal Doğan & Semih Koray, 2015. "Maskin-monotonic scoring rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 423-432, February.
    3. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    4. Burak Can & Mohsen Pourpouneh & Ton Storcken, 2021. "An axiomatic characterization of the Slater rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 835-853, May.
    5. Can, Burak & Storcken, Ton, 2013. "Update monotone preference rules," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 136-149.
    6. Donald G. Saari & Vincent R. Merlin, 2000. "A geometric examination of Kemeny's rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 403-438.
    7. Christian Klamler, 2004. "The Dodgson ranking and its relation to Kemeny’s method and Slater’s rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 91-102, August.
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    More about this item

    Keywords

    Kemeny rule; Preference aggregation; Axiomatic characterization;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • 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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