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Assessing Borda's Rule and Its Modifications

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  • Hannu Nurmi

    ()
    (Department of Political Science, University of Turku)

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    Abstract

    The Borda Count (BC) is a positional voting procedure fairly often applied in nonpolitical choice settings. It has a usual mixture of good and bad theoretical properties. It is monotonic and consistent and excludes the election of an eventual Condorcet loser. It, however, does not necessarily choose the Condorcet winner when one exists. Its strategic properties have also been found unattractive. Some modifications to it have therefore been proposed, notably Nanson's method. We also compare the BC with two of its recent modifications, the modified Borda Count (MBC) and the quota Borda system (QBS). It turns out that, although similar in spirit to BC, MBC and QBS do not share one of the former's main justifications: the exclusion of an eventual Condorcet loser. It is also shown that QBS tends to lead to more majoritarian outcomes than BC.

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    Bibliographic Info

    Paper provided by Aboa Centre for Economics in its series Discussion Papers with number 15.

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    Length: 18
    Date of creation: Mar 2007
    Date of revision:
    Handle: RePEc:tkk:dpaper:dp15

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    Related research

    Keywords: Borda Count; NansonÕs method; Condorcet winner; Condorcet loser; monotonicity; consistency;

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    1. Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
    2. Brams, Steven J. & Kilgour, D. Marc & Zwicker, William S., 1996. "The Paradox of Multiple Elections," Working Papers 96-09, C.V. Starr Center for Applied Economics, New York University.
    3. Moulin, Herve, 1988. "Condorcet's principle implies the no show paradox," Journal of Economic Theory, Elsevier, vol. 45(1), pages 53-64, June.
    4. Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
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