Kotze-Pereira transformation: Difference between revisions

The '''Kotze-Pereira transformation''' '''(KP transform)''' is most simply thought of as: convert scored ballots into fractional approval ballots. In other words, a voter whose scores are, with the max score being 5, A5 B3 C2, would have their ballot transformed into 1 A-supporting ballot, 0.64 BA-supporting ballots (because the score for B divided by the max score is 3/5=0.6), and 0.4 C-supporting ballots. To avoid having fractional approval ballots, some suggest that the KP transform should be done in such a way that one voter's score ballot always produces the smallest number of approval ballots such that they all are integer amounts; with the above example, this would mean the voter would have 5 A-supporting ballots, 3 B-supporting ballots, and 2 C-supporting ballots. In addition, the KP transform technically involves creating "empty ballots", so that in the above example, if the voter's scored ballot is converted into 5 {A, 3 B, 2 C Approval ballots, then there are also 2 "empty", B-disapproving ballots (which give no support to B) and 3 C-disapproving ballots. These modifications to the KP transform are purely aesthetic and don't change its practical implications.}