[EM] Correction. Big CS fault?

Elisabeth Varin/Stephane Rouillon stephane.rouillon at sympatico.ca
Fri Dec 27 19:24:42 PST 2002


> 5 ABCD
> 4 BDAC
> 3 CDAB
> 1 DBCA
>
> ...
>
> P.S. The minimum total distance criterion would give the win to A in the
> above example. IRV also picks A. Who would win under the rules of Ranked
> Pairs?
>

Forest --

all preferences are expressed so all criteria give the same result:

A (8) > B (5), A (9) > C (4), D (8) > A(5), B(10) > C (3), B(9) > D (4),
C(8) > D (5).
So B>C locks, then A>C and B>D.
A>B, D>A, C>D cannot all lock.
Only one solution matches 2 out of those 3 locks: A>B>C>D. It should be
locked. A is winner again.
The 5 possibilities:
A>B>C>D checks 2;
A>B>D>C checks 1;
B>D>A>C checks 1;
B>A>D>C checks none;
B>A>C>D checks 1.

Except if anyone knows a better way to resolve ties...
Steph.

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