[EM] "Beatpath GMC" compliance a mistaken standard?

[Markus Schulze]

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