Pairwise counting: Difference between revisions

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==Notes==
[[File:Pairwise counting procedure.png|thumb|The procedure for pairwise counting with various ballot formats and examples.]]IfOne usingpotentially pairwiseuseful countingtrick is to, for aeach [[Ratedvoter method|ratedwho method]],has only one helpful1st trickchoice, isreport towho puttheir the1st ratedchoice informationis, forand eachthen candidate inskip the cellpairwise wherecounting eachfor candidateall ismatchups comparedinvolving tothat themselvescandidate. ForSo for example, if A3 hasvoters 50vote pointsA>B>C, (basedthen ononly athe [[Scorefact voting]]that ballot),there Bare has3 351st points,choices for A and 3 voters who prefer B>C hasneed 20,be thenrecorded; this is because a voter prefers their 1st choice to all others, so it can be representedinferred that 3 unique 1st choices for A means 3 votes for both A>B and A>C. This can be used to save a lot of time for vote-counting in elections where most voters only report a few of their top preferences. as:
 
If using pairwise counting for a [[rated method]], one helpful trick is to put the rated information for each candidate in the cell where each candidate is compared to themselves. For example, if A has 50 points (based on a [[Score voting]] ballot), B has 35 points, and C has 20, then this can be represented as:
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