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<p>Richard,<br>
<br>
Can you please explain, perhaps with an example, how your "Instant
Pairwise Elimination"<br>
method can possibly "elect a non-Condorcet winner"?<br>
</p>
<p>As I understand it, the method eliminates all the non-members of
the Smith set, and then if<br>
more than one candidate remains, next eliminates the candidate who
(among remaining candidates)<br>
is lowest ranked on the highest number of ballots, and then
repeats both steps until one candidate<br>
remains.<br>
<br>
Is that right?<br>
<br>
From the page you linked to:<br>
<br>
<blockquote type="cite">
<p style="background-color: transparent; color: rgb(0, 0, 0);
font-family: Times New Roman; font-size: 16px; font-style:
normal; font-variant: normal; font-weight: 400;
letter-spacing: normal; orphans: 2; text-align: left;
text-decoration: none; text-indent: 0px; text-transform: none;
-webkit-text-stroke-width: 0px; white-space: normal;
word-spacing: 0px;">To appreciate how easy it is to
understand, here’s a full description of the IPE method:</p>
<span style="display: inline !important; float: none;
background-color: transparent; color: rgb(0, 0, 0);
font-family: Times New Roman; font-size: 16px; font-style:
normal; font-variant: normal; font-weight: 400;
letter-spacing: normal; orphans: 2; text-align: left;
text-decoration: none; text-indent: 0px; text-transform: none;
-webkit-text-stroke-width: 0px; white-space: normal;
word-spacing: 0px;">
</span>
<p style="background-color: transparent; color: rgb(0, 0, 0);
font-family: Times New Roman; font-size: 16px; font-style:
normal; font-variant: normal; font-weight: 400;
letter-spacing: normal; orphans: 2; padding-left: 40px;
text-align: left; text-decoration: none; text-indent: 0px;
text-transform: none; -webkit-text-stroke-width: 0px;
white-space: normal; word-spacing: 0px;">“<strong>Voters rank
the candidates using as many ranking levels as there are
candidates, or at least 5 ranking levels if ovals are marked
on a paper ballot and space is limited and lots of the
candidates are unlikely to win. During counting, each
elimination round eliminates the candidate who loses every
pairwise contest against every other remaining candidate. If
an elimination round has no pairwise-losing candidate then,
for that round, each ballot gives one count to the
lowest-ranked remaining candidate on that ballot, and the
candidate with the highest such count is eliminated. The
last remaining candidate wins.</strong>”</p>
</blockquote>
<br>
Chris Benham<br>
<br>
</p>
<div class="moz-cite-prefix">On 22/05/2019 5:13 am, VoteFair wrote:<br>
</div>
<blockquote type="cite"
cite="mid:ba720bb3-49fa-5c62-a4fb-36e7a788e16e@votefair.org">On
5/20/2019 12:46 PM, steve bosworth wrote:
<br>
<blockquote type="cite">Re: Best Single- Winner Method
<br>
...
<br>
Firstly, please correct me if I am mistaken but currently I am
assuming
<br>
that we all would ideally want the Best Single-Winner Method:
<br>
<br>
1. To be simple enough so voters can both use it and
understand how it
<br>
is counted;
<br>
2. To minimize the wasting of citizens’ votes (see below), and
<br>
3. To guarantee that the winner among 3 or more candidates is
the
<br>
candidate most supported by at least 50% plus one (an
absolute
<br>
majority) of all the citizens voting, and
<br>
4. To offer as few incentives and possibilities for voting
tactical.
<br>
</blockquote>
<br>
I suggest that Instant Pairwise Elimination provides a great
balance among these requirements.
<br>
<br>
1: It's simple to use, and simple to understand how to count.
<br>
<br>
2: Rarely could a voter identify a situation where their vote was
wasted.
<br>
<br>
3: It's not a Condorcet method, yet it would be very rare for it
to elect a non-Condorcet winner.
<br>
<br>
4: Tactical voting is possible, but only when a
rock-paper-scissors cycle is involved AND involves the most
popular candidates.
<br>
<br>
As a reminder of Instant Pairwise Elimination, it's described
here:
<br>
<br>
<a class="moz-txt-link-freetext" href="https://democracychronicles.org/instant-pairwise-elimination/">https://democracychronicles.org/instant-pairwise-elimination/</a>
<br>
<br>
Richard Fobes
<br>
----
<br>
Election-Methods mailing list - see <a class="moz-txt-link-freetext" href="https://electorama.com/em">https://electorama.com/em</a> for
list info
<br>
</blockquote>
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