Rated pairwise preference ballot: Difference between revisions
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To show "winning votes"-relevant information, take the above rated ballot of A:10 B:7 C:3 (D:0), and portray it instead as:
{| class="wikitable"
|+
!
!A
!B
!C
!D
|-
|A
| ---
|1
|1
|1
|-
|B
|0.7
| ---
|0.7
|0.7
|-
|C
|0.3
|0.3
| ---
|0.3
|-
|D
|0
|0
|0
| ---
|}
As can be seen, the margin is the same in the winning votes-based table and the margin-based table (i.e. in the A vs B matchup, the voter contributed only 0.3 points '''more''' to A than to B), but some more information is collected. In addition, this explains why [[Score voting]] is [[precinct-summable]] to a much easier degree than [[:Category:Pairwise counting-based voting methods|Category:Pairwise counting-based voting methods]]; because the voter is assumed to express the same score in every runoff, the score itself can be used to represent their support for the candidate in all of their head-to-head matchups.
See [[Pairwise counting#Cardinal methods]] and [[Order theory#Strength of preference]] for more information on this ballot type.
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