At least half of men don’t wash their hands before leaving a public restroom. Literally everything is covered in dick stuff. Source: 30+ years of using public restrooms as a male.
At least half of men don’t wash their hands before leaving a public restroom. Literally everything is covered in dick stuff. Source: 30+ years of using public restrooms as a male.
https://en.wikipedia.org/wiki/McKelvey–Schofield_chaos_theorem
The article doesn’t explicitly say that this includes policies not preferred by any single voter, but it’s implied by “any” and “arbitrary” (and can be verified by the original theorems).
I’m not too familiar in the field, but doesn’t a policy have to appeal more to a specific base than its appeal to another base to cause a Cordocet tie?
Yeah, the Condorcet criterion is a lot more restrictive in the space of policies (where you can make incremental changes in any direction) than in elections for a discrete set of candidates. (Which is why they say that in most cases there won’t be one.)
Yeah, so in my understanding of that, doesn’t that mean the winning policy has to appeal more to a voter base than one that appeals to another voter base?
That’s true for any pairwise vote, but not for the entire sequence.
As in the Condorcet paradox, voter preferences are intransitive: voters preferring A to B and B to C doesn’t imply that voters will prefer A to C. But where the Condorcet paradox shows how this can lead to a cyclical subset of candidates where no candidate can beat all other members of the subset, the chaos theorem shows how this can lead to a series of votes that ends absolutely anywhere.