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The likelihood of dubious election outcomes

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Author Info

  • Donald G. Saari

    ()
    (Department of Mathematics, Northwestern University, Evanston, IL 60208-2730, USA)

  • Maria M. Tataru

    ()
    (Department of Mathematics, Northwestern University, Evanston, IL 60208-2730, USA)

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    Abstract

    A disturbing phenomenon in voting, which causes most of the problems as well as the interest in the field, is that election outcomes (for fixed preferences) can change with the way the ballots are tallied. This causes difficulties because with each possible choice, some set of voters can be dubious about whether it is the "correct" one. But, how likely are these settings allowing multiple election outcomes? By combining properties of the geometry of voting developed by Saari with a analytic-geometric technique created by Schlafli, we determine the likelihood that a three candidate election can cause these potentially dubious outcomes.

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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 13 (1999)
    Issue (Month): 2 ()
    Pages: 345-363

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    Handle: RePEc:spr:joecth:v:13:y:1999:i:2:p:345-363

    Note: Received: April 11, 1997; revised version: November 12, 1997
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    Web page: http://link.springer.de/link/service/journals/00199/index.htm

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    Related research

    Keywords: Voting · Central limit theorem · Paradoxes.;

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    Cited by:
    1. Merlin, V. & Tataru, M. & Valognes, F., 2000. "On the probability that all decision rules select the same winner," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 183-207, March.
    2. Saari, Donald G., 1999. "Explaining All Three-Alternative Voting Outcomes," Journal of Economic Theory, Elsevier, vol. 87(2), pages 313-355, August.
    3. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    4. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Post-Print halshs-00443854, HAL.

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