[EM] Election-Methods Digest, Vol 144, Issue 11

[Kristofer Munsterhjelm]

On 08/16/2016 03:57 AM, Sennet Williams wrote:
> Stop being ridiculous.   There is never only "three candidates" in a
> contested IRV election.  Since Oakland, SF and Berkeley modernized to
> IRV, there are generally 9-10 candidates.  (unless there is a popular
> incumbent)   And all serious candidates campaign for the widest support
> they can, from the center.)  (Unless they totally ignore the IRV system,
> like Don Perata did in Oakland's first IRV election.)  He learned that
> you cannot buy an IRv election.

Here's how to make a 10-candidate monotonicity problem example:

1. Pick a 3-candidate monotonicity problem example.
2. Add 7 other candidates and modify the ballots so that the new
candidates are all eliminated before the 3 candidates in the original
example.
3. You now have a 10-candidate monotonicity problem example.

Since IRV is based on elimination, if there's a problem with IRV with k
candidates, there will also be a problem with IRV with n candidates,
n>k. So if there's a three-candidate monotonicity problem in IRV,
there's also a ten-candidate monotonicity problem.