Pairwise counting: Difference between revisions

add refs from https://en.wikipedia.org/wiki/Condorcet_method#Pairwise_counting_and_matrices
(Created page "pairwise counting")
 
(add refs from https://en.wikipedia.org/wiki/Condorcet_method#Pairwise_counting_and_matrices)
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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.
 
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
 
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.
Often these counts are arranged in a table such as below.
{| class="wikitable"
|+Pairwise counts
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!C
|-
|!A
|
|A > B
|A > C
|-
|!B
|B > A
|
|B > C
|-
|!C
|C > A
|C > B
|
|}
 
== References ==
<references />