[EM] Plurality Loser Elimination And Trunk Yanking Proposals

[Kristofer Munsterhjelm]

On 24.08.2021 21:08, Forest Simmons wrote:
> While there is no pairwise winner among the remaining alternatives ...
> eliminate from among said remaining alternatives the alternative X with
> the fewest (transferred) votes along with all of the alternatives beaten
> pairwise by X
> EndWhile.
> 
> Then elect the pairwise winner among the remaining alternatives
> (possibly the only remaining alternative).
> EndProcedure
> 
> The idea is that if the Plurality Loser is a weak alternative deserving
> removal, then so are the alternatives beaten by it pairwise (if any).
> 
> In this context "eliminate" means remove from the ballots and transfer
> the Plurality votes to the top remaining alternative on each ballot.
> 
> It turns out that this method always elects from a subset of Smith
> called Banks.
> 
> Note that the procedure becomes IRV by removal of the phrase, "along
> with all of the alternatives beaten pairwise by X".

That would be Benham, not IRV, wouldn't it? Since there is the "while
there is no pairwise winner among the remaining alternatives" condition,
a CW automatically wins, which is definitely not the case for IRV.

-km