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<p>Ted,<br>
<br>
I'm not completely clear on what the "equal rated whole" part
means, and likely there are some other possible<br>
voters who have no idea what any of it means.<br>
<br>
This is what I think it all means.<br>
<br>
Voters rank the candidates from the top, equal ranking an
truncation allowed. Then we construct a pairwise matrix.<br>
<br>
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<br>
equal-bottom) both A and B gives nothing to both in the A-B
comparison.<br>
<br>
But in the case a ballot explicitly votes A=B above bottom, do you
propose that the ballot give a whole vote each to<br>
A and B in the A-B comparison? (Until I hear otherwise from you,
I'll assume this is what you mean.)<br>
<br>
An alternative reasonable idea would be for this to be only the
case where the ballot votes A and B below no other<br>
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<br>
B in the A-B comparison.<br>
<br>
In any case I understand that we score each candidate according
to the minimum number of votes they got in a pairwise<br>
loss, and order them from highest to lowest.<br>
<br>
Then candidates are listed in score order and if any adjacent
pairs are pairwise out of order then this is corrected by <br>
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 <br>
there are no adjacent pairs of candidates that are pairwise out of
order, then elect the highest-ordered candidate.<br>
<br>
I am favourably disposed to this, but I'd like some clarification
(and hopefully some de-confusing justification) on the issue<br>
of how we treat equal ranking (or "rating").<br>
<br>
Chris Benham<br>
<br>
<br>
<blockquote type="cite">
<h1
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</h1>
<b
style="color: rgb(0, 0, 0); font-family: "Times New Roman"; font-size: medium; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">Ted
Stern</b><span
style="color: rgb(0, 0, 0); font-family: "Times New Roman"; font-size: medium; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal; background-color: rgb(255, 255, 255); text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;"><span> </span></span><a
href="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"
title="[EM] Poll on voting-systems, to inform voters in upcoming enactment-elections"
style="font-family: "Times New Roman"; font-size: medium; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; white-space: normal;">dodecatheon
at gmail.com</a><br
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<i
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Apr 6 12:33:35 PDT 2024</i><span
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<p
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</p>
<hr
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<pre
style="white-space: pre-wrap; color: rgb(0, 0, 0); font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial;">I'd like to nominate
Margin Sorted Minimum Losing Votes (equal rated whole)</pre>
</blockquote>
<br>
</p>
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