I came up with this one all by myself (which is probably known by some elegant name and has some sophisticated documentation that I'm not aware of) I think it shows representation cant actually work because you cant have boolean logic if multiple "yes" each have to compete with a single "no". Ill keep it simple but the effect gets more dramatical if there are more candidates.
Say, there are 3 candidates and only 1 agenda point: 1 supports the idea and 2 are against it. The later 2 get 33% of the votes each and the first gets 34%. The unpopular idea wins while 66% was against it.
It sure seems like one can get a high degree of control over the results by simply adding candidates until the unpopular idea is sufficiently under represented.
It's like, if you have 100 Bernie Sanders sharing the votes you may never get socialism.