[EM] MAMPO is probably better than MDDA

[Kevin Venzke]

Hi.

This is the definition of MAMPO:

1. A candidate's opposition score is equal to the greatest number of
votes against him in any pairwise contest.
2. The voter ranks; those ranked are also "approved."
3. If more than one candidate is approved by a majority, elect the one
of these with the lowest opposition score.
4. Otherwise elect the most approved candidate.

MAMPO satisfies FBC, SDSC, and SFC like MDDA does. But MAMPO also satisfies
Woodall's Plurality criterion.

Woodall's scenario showing that MDDA fails the latter:

20 ab
 5 ba
24 bc
24 ca
 9 dab
 9 dbc
 9 dca

"a,b,c are preferred to d by 49,49,48 voters respectively, which are not
majorities, but a>b by 62, b>c by 67 and c>a by 66, so that a, b and c
are all disqualified.  Thus MDDA elects d.  But d has 27 votes in total,
and so is debarred by b who has 29 first-preference votes."

MAMPO manages to elect B since D lacks majority approval, and 62 is
the lowest maximum such score.

For what it's worth. I think MAMPO does a fairly reasonable thing in only
deviating from approval when multiple candidates have a majority, and
then only in favor of one of the candidates that has a majority!

Kevin Venzke


	

	
		
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