Kotze-Pereira transformation: Difference between revisions

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== Notes ==
Using the "ranked KP transform" on Score ballots (converting them into Approval ballots which are then converted into ranked ballots with approved candidates ranked 1st and all others last) and running this through [[Smith-efficient]] [[Condorcet methods]] yields a [[Smith set]] with only the candidates who originally had the most points i.e. the [[Score voting]] winner.
 
Something similar to the KP transform can be done using randomness: if a voter approves a candidate with a probability proportional to their utility from that candidate, then with probability approaching 1 with many voters, the candidate will have the same [[approval rating]] as they would if every voter had simply scored that candidate.
 
==Further Reading==