[EM] Manual Construction of Smith Set

[Ted Stern]

(re-sent as Reply to All)

Hi Kristofer,

There's a slightly easier way.

Each candidate is asked "How many other candidates defeat you?"

The one with the fewest defeats (the Copeland winner) moves to the right of
the line. If there is a tie, all tied candidates move right.

The candidate(s) on the right is (are) asked, "Which candidates on the left
side of the line defeated you?" And as they are named, they come to the
right of the line.

Each new right-side candidate is asked the same question, and any left-side
candidates named come to the right side.

When none of the candidates on the right can name any other candidates on
the left who have defeated them, the Smith set is complete.

On Thu, Jan 13, 2022 at 2:34 AM Kristofer Munsterhjelm <km_elmet at t-online.de>
wrote:

> On 13.01.2022 04:46, Richard, the VoteFair guy wrote:
> > Thank you Forest, Colin, and Kristofer for answering my question about
> > how to manually identify the Smith set.
> >
> > I now better understand how to do this on paper.
> >
> > However, I'm still uncertain how it could be done in a public setting
> > such as on stage in a school auditorium, with an audience watching to
> > ensure the process is fair. (And creating a video of the process.)
>
> My O(n^2) method would be pretty transparent, I think; it would just get
> unwieldy very fast.
>
> First you let each person represent a candidate, and then, for each
> person, you have that person ask "do I beat A, B, C..." in turn. This
> gives the number of candidates that candidate beats, i.e. the Copeland
> score.
>
> Let there be a dividing line: everybody to the right (say) of that line
> is in the provisional Smith set, everybody to the left is not. Move the
> Copeland winner to the right of the line.
>
> Then ask each other candidate if he beats the first member, second
> member, etc. of that set. If yes, move him up to the other side of the
> line. If anyone was moved to the right of the line as part of this
> round, restart from the first candidate to the left of the line once
> you've asked all of them; otherwise, the process is done and the
> candidates on the right constitute the Smith set.
>
> -km
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> info
>
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