[EM] MMCWPO (minimize maximum cardinal weighted pairwise opposition) satisfies the FBC and solves the ABE problem.

[Ted Stern]

On 23 Nov 2011 17:51:45 -0800, Forest Simmons wrote:
>
> MMCWPO is the method that elects the candidate whose maximal
> weighted pairwise opposition is minimal. It solves the ABE problem
> as well as the FBC.

To clarify, MMCWPO is MinMax (MMPO) combined with James
Green-Armytage's Cardinal Weighted Pairwise method.

That is, one accumulates two pairwise matrices.

The first is the standard pairwise array, with position (A, B)
containing the number of ballots ranking A over B.

The second array stores cardinal weighted preferences:  in those cases
where a ballot prefers candidate A to candidate B, save A-score minus
B-score into position (A, B).

Applying this to MMPO: instead of using winning votes, determine the
pairwise opposition for a defeat by the CW(A,B) score-difference sum
instead of P(A,B) winning votes.

Ted
>
> I'm being shut down on this computer.  More after T day.
>
> Forest
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