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The Borda Method Is Most Likely to Respect the Condorcet Principle

Listed author(s):
  • Van Newenhizen, Jill
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    We prove that in the class of weighted voting systems the Borda Count maximizes the probability that a Condorcet candidate is ranked first in a group election. A direct result is that the Borda Count maximizes the probability that a transitive, binary ranking of the candidates is preserved in a group election. A preliminary result, but one of independent interest, is that the Borda Count maximizes the probability that a majority outcome between any two candidates is reflected by the group election. All theorems are valid when there is a uniform probability distribution on the voter profiles and can be generalized to other "uniform-like" probability distributions. This work extends previous results of Fishburn and Gehrlein from three candidates to any number of candidates.

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    Article provided by Springer & Society for the Advancement of Economic Theory (SAET) in its journal Economic Theory.

    Volume (Year): 2 (1992)
    Issue (Month): 1 (January)
    Pages: 69-83

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    Handle: RePEc:spr:joecth:v:2:y:1992:i:1:p:69-83
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    Web page: http://saet.uiowa.edu/

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    Order Information: Web: http://www.springer.com/economics/economic+theory/journal/199/PS2

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