[EM] "Beatpath GMC" compliance a mistaken standard?
Markus Schulze
markus.schulze at alumni.tu-berlin.de
Sat Jan 10 12:44:34 PST 2009
Dear Paul Kislanko,
Kevin Venzke wrote (10 Jan 2009):
> [Situation #1]
>
> 26 A>B
> 25 B>A
> 49 C
>
> Mutual Majority elects {A,B}
>
> Now add 5 A bullet votes:
>
> [Situation #2]
>
> 26 A>B
> 25 B>A
> 49 C
> 5 A
>
> Now Mutual Majority elects {A,B,C}.
You wrote (10 Jan 2009):
> I guess I don't understand "mutual majority", then,
> because after adding 5 votes it takes 53 votes to
> have a majority, and only A has a majority. B is
> 51/105 and C is 45/105.
>
> Five bullet-votes for A appear to change (A,B) to (A).
Mutual majority says: When a majority of the voters
strictly prefers every candidate of a given set of
candidates to every candidate outside this set of
candidates, then the winner must be chosen from this
set of candidates.
column1 = set of candidates
column2 = number of voters who strictly prefer every
candidate in column1 to every candidate outside column1
************
For situation #1, we get:
column1 / column2
A / 26
B / 25
C / 49
AB / 51
AC / 0
BC / 0
So mutual majority says that the winner must be
chosen from {A,B}.
************
For situation #2, we get:
column1 / column2
A / 31
B / 25
C / 49
AB / 51
AC / 0
BC / 0
So mutual majority says nothing.
Markus Schulze
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