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<div class="moz-cite-prefix">The example I just posted of "IBIFA
with an anti-defection device" failing FBC I'm afraid also works
for both Mike's suggested <br>
"Conditional Bucklin" and Forest's suggested "TopMiddleBottom".<br>
<br>
20: F=C >>B<br>
07: F > C=B (or, for the sake of Forest's method suggestion,
F >> C=B)<br>
25: B<br>
48: W<br>
<br>
All three of these methods elect W, but if the 20 F=C >> B
voters change their rating of F from Top to Middle or Bottom<br>
then the winner changes to B.<br>
<br>
Chris Benham<br>
<br>
<br>
On 11/6/2016 12:10 PM, Michael Ossipoff wrote:<br>
</div>
<blockquote
cite="mid:CAOKDY5Ai9_StAhpy5bNfEe5xAAawi3NZr9SBXHQVZMY699-0iA@mail.gmail.com"
type="cite">
<div dir="ltr">
<div>
<div>
<div>
<div>
<div>
<div>Hi Forest--<br>
<br>
</div>
By "vote-receiving", I just wanted that to refer to
the candidate who's being considered for receiving the
conditional vote.<br>
<br>
</div>
Jameson has just demonstrated that my Conditional
Approval fails FBC.<br>
<br>
</div>
Most likely, that means that my Conditional(u) Bucklin
fails FBC too.<br>
<br>
</div>
Now, hopefully your proposal, &/or Chris's Unconditional
Bucklin passes FBC.<br>
<br>
</div>
I've just now found your posting. I hope that your method or
Chris's meets FBC.<br>
<br>
</div>
Michael Ossipoff<br>
<br>
</div>
<div class="gmail_extra"><br>
<div class="gmail_quote">On Sat, Nov 5, 2016 at 6:56 PM, Forest
Simmons <span dir="ltr"><<a moz-do-not-send="true"
href="mailto:fsimmons@pcc.edu" target="_blank">fsimmons@pcc.edu</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0
.8ex;border-left:1px #ccc solid;padding-left:1ex">
<div dir="ltr">
<div><br>
<div class="gmail_extra">
<div class="gmail_quote">
<blockquote style="margin:0px 0px 0px
0.8ex;border-left:1px solid
rgb(204,204,204);padding-left:1ex"
class="gmail_quote">
<br>
Because it's so brief, let me state the
conditional(u) option, for<br>
Approval, and for Bucklin:<br>
<br>
Approval:<br>
<br>
If a ballot conditionally approves a candidate,
then it gives an approval<br>
to that candidate only if that vote-receiving
candidate has more<br>
unconditional approvals than does any candidate
unconditionally approved by<br>
that ballot.<br>
<br>
</blockquote>
</div>
<br>
</div>
<div class="gmail_extra">I don't see the purpose of the
qualifier "vote-receiving;" It seems to me that if a
candidate has more (unconditional) approvals than some
other candidate, then it is ipso facto
"vote-receiving."<br>
<br>
</div>
<div class="gmail_extra"><br>
<div class="gmail_extra">It could also be called
TopMiddleBottom. <br>
<br>
Voters mark candidates Top, Middle, or Bottom., with
default Bottom.<br>
<br>
</div>
In the first round count, ballots contribute support
only to their Top rated candidates. Then if (on some
ballot) a Middle rated candidate has a better chance
of winning (according to the first round totals) than
any candidate that is Top rated by that ballot, then
that ballot promotes that candidate to Top status for
the purposes of the final count.<br>
</div>
<br>
</div>
<div>In other words, the Middle mark is a fall-back or
conditional approval mark.<br>
</div>
<br>
</div>
<br>
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</blockquote>
</div>
<br>
</div>
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