[EM] VSB fails the Majority Criterion AND monotonicity

[Forest Simmons]

The following (corrected) example also shows that VSB is not monotone.

On Fri, 6 Feb 2004, Forest Simmons wrote:

> Consider the following example:
>
> 51 ABC
> 25 BCA
> 24 CBA
>
> Voter Space Borda gives A voters a score of
>
> 51*49-49*51=0,

Correction: each A voter's VSB score is 51*49-49*49=49
>
> while B voters get a score of
>
> 25*75+(24-51)*(51-24) = 1199
>
> which is greater than zero.
>
> If the A voters had truncated or voted CB as often as BC this wouldn't
> have happened.
>

If the C voters changed all of their votes to BCA, increasing their
support for B, then B would lose, so VSB is not monotone.