Kotze-Pereira transformation: Difference between revisions
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One way to visualize the KP transform is as follows: imagine that for each voter, 9 additional voters are added to the election, whose ballots are treated as "under the control of" that voter. If the voter decided to make 8 of the 10 ballots under their control approve their favorite candidate, while not doing anything with the remaining 2, then this would be equivalent to them giving that candidate an 8 out of 10 on a rated ballot. Thus, the KP transform helps with [[scale invariance]].
The KP transform often improves or at least doesn't worsen a voting method that it is applied to, but this isn't always the case. For example, [[SMV]] depends on being able to spend an entire ballot even if it didn't give full support to the winner.
The connection that the KP transform shows between Approval and Score ballots can most clearly be seen when the Score ballots are set to a scale of 0 to 1 (with in-between decimals allowed), because a voter who gives a middling score to a candidate is seen to be giving them a fractional approval.
==Further Reading==
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