Dear Paul Kislanko,
I wrote (10 Jan 2009):
> For situation #2, we get:
>
> column1 / column2
> A / 31
> B / 25
> C / 49
> AB / 51
> AC / 0
> BC / 0
>
> So mutual majority says nothing.
You wrote (10 Jan 2009):
> How can mutual majority say "nothing?" Only
> if no combination has a majority. But A is in
> the A>B, B>A, and new A's, so A is on 56 ballots,
> which is a majority of ballots (and no one else is)
There are 105 voters. So a "majority"
requires at least 53 voters.
I have listed all solid coalitions.
And there is no solid coalition with
at least 53 voters.
So mutual majority says nothing.
There are only 31 voters who strictly prefer
candidate A to every other candidate. And
there are only 51 voters who strictly prefer
every candidate in {A,B} to every candidate
outside {A,B}.
Markus Schulze
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