[EM] Semiproportional Bucklin method

[Raph Frank]

On Sat, Apr 25, 2009 at 11:15 PM, Kristofer Munsterhjelm
<km-elmet at broadpark.no> wrote:
> A Droop set is a set from which, according to the DPC, at least one
> candidate must be elected. It's analogous to a solid coalition, only with a
> Droop quota.

Ok, I think I have a example of it failing.

2 seats.  Party X is assumed to be a party with lots of candidates and
it takes until past round 3 for them to all vote for a common
candidate.

Quota = 21

5: A>B>C>D>E>F
5: A>C>D>E>F>B
5: A>D>E>F>B>C
5: A>E>F>B>C>D
5: A>F>B>C>D>E
14: B>C>D>E>F
21: Party X

Round 1
A: 25
B: 14
X: 21 (split between multiple)

{A} has a quota, so A elected

Round 2
A: 25
B: 19
C: 19
X: 21 (split)

{B,C} hasn't reached the quota.

Round 3
A: 25
B: 24
C: 24
D: 24
E: 10
F: 10
X: 21 (split between multiple)

{B,C,D} hits the quota and thus one of them should be elected.

Winners are {A,B} or {A,C} or {A,D}.

X should have been entitled to 1 seat, but didn't get one.