Borda and Condorcet: Some Distance Results

Christian Klamler

Theory and Decision, 2005, vol. 59, issue 2, 97-109

Abstract: This paper provides a distance based analysis of the Borda rule with respect to Condorcet’s criterion. It shows that the minimal Condorcet consistency present in the Borda rule, whenever a Condorcet winner (the alternative that wins against every other alternative in a pairwise contest) exists, disappears in the case of voting cycles. First, it is shown that for certain preference profiles the Borda winner is furthest from being a Condorcet winner. Second, it is shown that there exist preference profiles for which the Borda winner is closest from being a Condorcet loser (the alternative that loses against every other alternative in a pairwise contest). Copyright Springer 2005

Keywords: voting cycles; Borda rule; distance functions; Condorcet winner; Condorcet loser; D70 (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s11238-005-5459-y

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