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this post was submitted on 24 Oct 2024
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The McKelvey–Schofield chaos theorem proves that, if an electorate is presented with a series of proposed policy changes and everyone votes according to their honest preference, the proposals can be fashioned and ordered in such a way that any policy can be made to win—even one that no voter prefers to the starting point.
deleted by creator?
Could you source the "even one that no voter prefers to the starting point" part?
https://en.wikipedia.org/wiki/McKelvey%E2%80%93Schofield_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?