[EM] "Margin Sorted Minimum Losing Votes (equal rated whole)" candidate in poll

[Chris Benham]

Ted,

I'm not completely clear on what the "equal rated whole" part means, and 
likely there are some other possible
voters who have no idea what any of it means.

This is what I think it all means.

Voters rank the candidates from the top, equal ranking an truncation 
allowed.  Then we construct a pairwise matrix.

A ballot voting A over B gives one vote in the A-B comparison to A and 
nothing to B.   A ballot that truncates (or votes
equal-bottom) both A and B gives nothing to both in the A-B comparison.

But in the case a ballot explicitly votes A=B above bottom, do you 
propose that the ballot give a whole vote each to
A and B in the A-B comparison? (Until I hear otherwise from you, I'll 
assume this is  what you mean.)

An alternative reasonable idea would be for this to be only the case 
where the ballot votes A and B below no other
candidates, and if they are voted A=B above bottom but below top then 
the ballot gives half a vote to each of A and
B in the A-B comparison.

In any case I understand that we  score each candidate according to the 
minimum number of votes they got in a pairwise
loss, and order them from highest to lowest.

Then candidates are listed in  score order and if any adjacent pairs are 
pairwise out of order then this is corrected by
flipping the out-of-order pair with the smallest margin. If there is a 
tie for this we flip the lowest scored tied pair. Repeat until
there are no adjacent pairs of candidates that are pairwise out of 
order, then elect the highest-ordered candidate.

I am favourably disposed to this, but I'd like some clarification (and 
hopefully some de-confusing justification) on the issue
of how we treat equal ranking (or "rating").

Chris Benham


>
> *Ted Stern*dodecatheon at gmail.com 
> <mailto:election-methods%40lists.electorama.com?Subject=Re%3A%20%5BEM%5D%20Poll%20on%20voting-systems%2C%0A%20to%20inform%20voters%20in%20upcoming%20enactment-elections&In-Reply-To=%3CCAHGFzOTaPTdMnVw7TELxExvM4ZjbAEtaxJWZ-%2Bpcttf4ATXhPw%40mail.gmail.com%3E>
> /Sat Apr 6 12:33:35 PDT 2024/
>
>
> ------------------------------------------------------------------------
> I'd like to nominate
>
> Margin Sorted Minimum Losing Votes (equal rated whole)
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