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.