[EM] Best IRV Tweak

Daniel Carrera dcarrera at gmail.com
Tue Jul 6 14:21:34 PDT 2021

On Tue, Jul 6, 2021 at 2:00 PM Susan Simmons <suzerainsimmons at outlook.com>

> While there remains more than one uneliminated candidate eliminate the
> remaining one that is weakest relative to the other remaining candidates.
> If "weakest" means least top support (relative to the other remaining
> candidates) then we have IRV.
> But if we interpret "weakest" to mean the candidate with the fewest votes
> in any head-to-head contest (among the remaining candidates) then we have a
> Condorcet Compliant method.
> In fact, the weakest candidate in this sense is a pairwise loser to its
> opponent in its worst head-to-head contest ... which could not happen to a
> Condorcet Candidate.

I'm just an amateur, but I think your method is also Smith efficient.
During an elimination round it is possible that the candidate with fewest
votes in a head-to-head contest is in the Smith set, but only by losing a
head-to-head contest against another candidate in the Smith set.

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