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.]]WhenIf lookingusing atpairwise twocounting candidates,for a quick[[Rated waymethod|rated tomethod]], figureone outhelpful the number of votes for the first candidate>second candidate and vice versatrick is to first locateput the cellrated information for "firsteach candidate>second candidate", countin the minimumcell numberwhere ofeach cellscandidate diagonally one mustis gocompared to bethemselves. adjacentFor to the middle dividing line of the matrix (where there is a --- cell)example, andif thenA goinghas one50 cell further diagonallypoints (meaning you'll be starting from the closest cellbased on the opposite side ofa that[[Score dividingvoting]] lineballot), goB thathas number35 ofpoints, cellsand furtherC diagonallyhas to20, reachthen thethis othercan cell.be Forrepresented exampleas:
{| class="wikitable"
|+
!
!A
!B
!C
|-
|A
|'''50'''
|A>B
|A>C
|-
|B
|B>A
|'''35'''
|B>C
|-
|C
|C>A
|C>B
|'''20'''
|}
This reduces the amount of space required to store and demonstrate all of the relevant information for calculating the result of the voting method.
 
When looking at two candidates, a quick way to figure out the number of votes for the first candidate>second candidate and vice versa is to first locate the cell for "first candidate>second candidate", count the minimum number of cells diagonally one must go to be adjacent to the middle dividing line of the matrix (where there is a --- cell), and then going one cell further diagonally (meaning you'll be starting from the closest cell on the opposite side of that dividing line), go that number of cells further diagonally to reach the other cell. For example:
{| class="wikitable"
!