[EM] MMLV(erw)M fails Unburiable Mutual Dominat Third
C.Benham
cbenham at adam.com.au
Mon May 19 11:59:50 PDT 2014
In an earlier post discussing my new method idea, MinMax Losing
Votes(erw) Margins, I wrote:
> 34 A>B
> 17 C>A
> 16 B>C
> 31 B
> 02 B>C (sincere is B or B>A)
>
> A is the sincere Condorcet winner (and a sincere Mutual Dominant Third
> winner).
>
> A>B>C>A. MMLV(erw) scores: B49 > A34 > C17. The margin between
> adjacent candidates B and A (15) is smaller than
> that between A and C (17), and A pairwise beats B, so Margins Sort first
> flips that order to give A>B>C with no candidate pairwise
> beating the next highest in the order, and so elects the candidate
> highest in this final order, A.
>
> C>A -17, A>B -15, B>C +32. A has the weakest defeat and so wins.
>
> It looks to me like MMLV(erw)M meets Unburiable Mutual Dominant Third!
But it doesn't.
46 A>C (sincere is A or A>B)
10 B>A
24 B>C
20 C>B
A>C>B>A. MMLV(erw) scores: A46 > C44 > B34.
B is the sincere MDT candidate, but unfortunately the buriers' favourite
(A) wins.
Chris Benham
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