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A comparison of Dodgson's method and the Borda count

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  • Thomas C. Ratliff

    () (Department of Mathematics, Wheaton College, Norton, Massachusetts 02766, USA)

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    Abstract

    In an election without a Condorcet winner, Dodgson's Method is designed to find the candidate that is "closest" to being a Condorcet winner. In this paper, we show that the winner from Dodgson's Method can occur at any position in the ranking obtained from the Borda Count, the plurality method, or any other positional voting procedure. In addition, we demonstrate that Dodgson's Method does not satisfy the Independence of Irrelevant Alternatives axiom.

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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 20 (2002)
    Issue (Month): 2 ()
    Pages: 357-372

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    Handle: RePEc:spr:joecth:v:20:y:2002:i:2:p:357-372

    Note: Received: January 12, 2001; revised version: June 7, 2001
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    Web page: http://link.springer.de/link/service/journals/00199/index.htm

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    Related research

    Keywords: Voting theory; Dogson's method; Borda count.;

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    Cited by:
    1. Klamler, Christian, 2004. "The Dodgson ranking and the Borda count: a binary comparison," Mathematical Social Sciences, Elsevier, vol. 48(1), pages 103-108, July.
    2. Eckert, Daniel & Klamler, Christian, 2010. "An equity-efficiency trade-off in a geometric approach to committee selection," European Journal of Political Economy, Elsevier, vol. 26(3), pages 386-391, September.

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