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Borda count: Difference between revisions

imported>Cymru
imported>Cymru
Line 56:
The Borda count satisfies the [[monotonicity criterion]], the [[summability criterion]], the [[consistency criterion]], the [[participation criterion]], the [[Plurality criterion]] (trivially), [[Reversal symmetry]], [[Intensity of Binary Independence]] and the [[Condorcet loser criterion]].
 
It does not satisfy the [[Condorcet criterion]], the [[Independence of irrelevant alternatives]] criterion, the [[Non-compulsory support criterion]], or the [[Strategic nomination|Independence of Clones criterion]].
 
The Borda count also does not satisfy the [[majority criterion]], which means that if a majority of voters rank one candidate in first place, that candidate is not guaranteed to win. This could be considered a disadvantage for Borda count in political elections, but it also could be considered an advantage if the favorite of a slight majority is strongly disliked by most voters outside the majority, in which case the Borda winner could have a higher overall utility than the majority winner.
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