[EM] "Margins Sorted Approval" poll candidate

[Closed Limelike Curves]

Oh, hmm, that sounds like Split-Cycle maybe?

On Mon, Apr 22, 2024 at 1:16 PM Joshua Boehme <joshua.p.boehme at gmail.com>
wrote:

>
> A graph theorist would call it a Hamiltonian path over the tournament
> graph (provided that pairwise ties are drawn as edges in both directions
> instead of the usual no-edge convention). That isn't standard terminology
> when talking about voting methods, though.
>
>
> One nice thing about Hamiltonian-path/beat-chain methods -- which also
> include Ranked Pairs and Kemeny-Young -- is that they automatically satisfy
> Smith. Moreover, they do so successively: first come all Smith set members,
> then the members of the Smith set over the remaining candidates, then...
>
>
>
> On 4/22/24 07:59, Chris Benham wrote:
> > A question I forgot to answer:
> >
> >> It makes sense to start with Approval-ordering & then adjust to fix the
> most important pairwise contradictions by switching. But aren’t the *
> biggest* margins more important than the smallest ones? Then why fix the
> smallest-margin mis-orderings first?
> >
> > Our aim it produce a "beat chain" (if that's the right term) where every
> candidate beats the next-lowest in the order down to the bottom, which is
> most in harmony with the approval order. No out-of-order pair of adjacent
> candidates is going to be left out of order.
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