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On the Closeness Aspect of Three Voting Rules: Borda – Copeland – Maximin

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  • Christian Klamler

    (University of Graz)

Abstract

This paper provides a comparison of three voting rules, the Borda rule, the Copeland rule and the maximin rule. Our analysis based on the rankings derived from those voting rules will shed new light on existing comparisons based on “closeness” between the three voting rules under investigation. In particular it will be shown that both, the rankings derived from the Borda rule and the maximin rule and the rankings derived from the Copeland rule and the maximin rule, will be exactly the opposite for certain preference profiles.

Suggested Citation

  • Christian Klamler, 2005. "On the Closeness Aspect of Three Voting Rules: Borda – Copeland – Maximin," Group Decision and Negotiation, Springer, vol. 14(3), pages 233-240, May.
    • Handle: RePEc:spr:grdene:v:14:y:2005:i:3:d:10.1007_s10726-005-0958-3
    DOI: 10.1007/s10726-005-0958-3
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    References listed on IDEAS

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    1. Merlin, Vincent R. & Saari, Donald G., 1997. "Copeland Method II: Manipulation, Monotonicity, and Paradoxes," Journal of Economic Theory, Elsevier, vol. 72(1), pages 148-172, January.
    2. Christian Klamler, 2005. "Borda and Condorcet: Some Distance Results," Theory and Decision, Springer, vol. 59(2), pages 97-109, September.
    3. 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.
    4. Vincent R. Merlin & Donald G. Saari, "undated". "The Copeland Method I; Relationships and the Dictionary," Discussion Papers 1111, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Tataru, Maria & Merlin, Vincent, 1997. "On the relationship of the Condorcet winner and positional voting rules," Mathematical Social Sciences, Elsevier, vol. 34(1), pages 81-90, August.
    6. Donald G. Saari & Vincent R. Merlin, 1996. "The Copeland method (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 51-76.
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    Cited by:

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