Pairwise counting: Difference between revisions
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Pairwise counting is the process of considering a set of items, comparing one pair of items at a time, and for each pair counting the comparison results. |
'''Pairwise counting''' is the process of considering a set of items, comparing one pair of items at a time, and for each pair counting the comparison results. |
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Election methods that always meet the [[Condorcet winner]] criterion or the [[Condorcet loser criterion]] use pairwise counting. |
Election methods that always meet the [[Condorcet winner]] criterion or the [[Condorcet loser criterion]] use pairwise counting. |
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* Number of voters who have no preference for B versus C |
* Number of voters who have no preference for B versus C |
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Often these counts are arranged in a ''pairwise comparison matrix''<ref name=":0">{{Cite book|url=https://books.google.com/?id=q2U8jd2AJkEC&lpg=PA6&pg=PA6|title=Democracy defended|last=Mackie, Gerry.|date=2003|publisher=Cambridge University Press|isbn=0511062648|location=Cambridge, UK|pages=6|oclc=252507400}}</ref> or ''outranking matrix<ref>{{Citation|title=On the Relevance of Theoretical Results to Voting System Choice|url=http://link.springer.com/10.1007/978-3-642-20441-8_10|publisher=Springer Berlin Heidelberg|work=Electoral Systems|date=2012|access-date=2020-01-16|isbn=978-3-642-20440-1|pages=255–274|doi=10.1007/978-3-642-20441-8_10|first=Hannu|last=Nurmi|editor-first=Dan S.|editor-last=Felsenthal|editor2-first=Moshé|editor2-last=Machover}}</ref>'' table such as below. |
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Often these counts are arranged in a table such as below. |
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{| class="wikitable" |
{| class="wikitable" |
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|+Pairwise counts |
|+Pairwise counts |
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!C |
!C |
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!A |
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|A > B |
|A > B |
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|A > C |
|A > C |
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!B |
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|B > A |
|B > A |
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|B > C |
|B > C |
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!C |
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|C > A |
|C > A |
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|C > B |
|C > B |
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== References == |
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<references /> |