Cardinal-weighted pairwise comparison: Difference between revisions

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(Experimenting with some footnote styles, and updating the links to James Green-Armytage's paper in the "Voting Matters" November 2004 edition.)
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'''Cardinal-weighted pairwise comparison''' (also known as "'''Cardinal pairwise'''" or "'''CWP'''") is a method that uses [[rated ballot]]s, but also evaluates the [[ranked ballot|implicit ranking information]] of the candidates on each ballot.
== Cardinal-weighted pairwise ==
 
== History==
{{Distinguish|rated pairwise preference ballot}} ▼
This method was first proposed by [[James Green-Armytage]] in June of 2004.<ref>Author:
James Green-Armytage (jarmyta at antioch-college.edu), [http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-June/013280.html Thread: "approval vs. IRV: false claim about MMC examples?"], Publisher: [[election-methods list]], Date: Sun Jun 6 18:57:01 PDT 2004</ref> Green-Armytage then published a paper in [[Voting Matters]] in November 2004.<ref>[[James Green-Armytage|Green-Armytage, James]], "''Cardinal-weighted pairwise comparison''", Date: November 2004, Journal-issue: [https://www.votingmatters.org.uk/ISSUE19/INDEX.HTM Voting Matters: Volume 19], Publisher: [[Voting Matters]], Current link: https://www.votingmatters.org.uk/ISSUE19/I19P2.PDF , Old link: <nowiki>http://www.mcdougall.org.uk/VM/ISSUE19/I19P2.PDF</nowiki></ref>
 
== Definition ==
"'''Cardinal pairwise'''" and "'''CWP'''" are shorter names for "cardinal-weighted pairwise comparison", a method first proposed by James Green-Armytage in June of 2004.
 
▲{{Distinguish|ratedRated pairwise preference ballot}}
 
Cardinal pairwise differs from traditional pairwise count methods ([[Condorcet method]]s) in that it uses [[ratings ballot|cardinal (rating)]] information in addition to [[ranked ballot|ordinal (ranking)]] information.
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The name "cardinal pairwise" also implies that a [[Smith-efficient]], [[:Category:Defeat-dropping Condorcet methods|defeat-dropping]] base method will be used, for example [[Schulze method|Schulze]], [[ranked pairs]], or [[river]].
 
 
 
===Ballot types===
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A [[Pairwise beat]]<nowiki/>s B 10 voters to 9, and has a rating differential of 80 points (equivalent to 8 votes on a scale of 0 to 10) against B.
 
==External resourcesReferences ==
<references/>
 
*[http://www.mcdougall.org.uk/VM/ISSUE19/I19P2.PDF Cardinal pairwise paper], as published by [http://www.mcdougall.org.uk/VM/INDEX.HTM Voting Matters].
*[http://lists.electorama.com/pipermail/election-methods-electorama.com/2004-June/013280.html Initial proposal] on election methods list.
 
[[Category:Single-winner voting methods]]
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