[EM] Improved Generalised Bucklin

[Markus Schulze]

Dear Chris,

you wrote (20 Aug 2003):
> Example 3.
> 31:  B>A>E>C>D
> 23:  C>B>A>E>D
> 25:  D>A>C>E>B
> 11:  D>C>B>A>E
> 10:  E>A>C>B>D
> 100 voters, all 5 candidates in the Smith set.
>
> (...)
>
> Curiously, in this example IRV and Schulze elect D, despite
> the fact that D is ranked last on 65% of the ballots. Nanson
> and Baldwin elect B, while Ranked Pairs, Borda and Black
> elect A.

A:B=35:65
A:C=66:34
A:D=64:36
A:E=90:10
B:C=31:69
B:D=64:36
B:E=65:35
C:D=64:36
C:E=59:41
D:E=36:64

The Smith winners are A, B, and C. IRV elects C. Schulze, Nanson,
Baldwin, Ranked Pairs, Borda, and Black elect A.

Markus Schulze