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<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">I
recently posted some autodeterrence suggestions, but I didn’t *introduce*
autodeterrence in that post, & I didn’t define my terms. So I’d like to do
that now:<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">The
only meaningful objection to Condorcet is that it’s subject to offensive
strategy, by “buria” (offensive order-reversal) & by offensive truncation.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">The
wv Condorcet methods, such as MinMax(wv) & Schulze, thwart & deter
offensive-strategy as I’ve described. But, as I’ve mentioned, because I regard
the elections as dichotomous, I’d use wv Condorcet as Approval, with
all-or-nothing voting, voting Unacceptables at bottom & Acceptables at
top…& maybe some or many lesser-evil voters would likewise vote Lesser-Evil
at top.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">So
maybe even wv Condorcet would retain some lesser-evil problem.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">That’s
why autodeterrence is desirable. It probabilistically deters offensive strategy
by making it more likely to backfire than to succeed.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Of
course the merit of an autodeterrent method is measured by this ratio of
probabilities: <span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">p(backfire)/p(succeed).<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Forest
Simmons & I have proposed a number of autodeterrent methods.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Let
me state some definitions that I neglected to state before. Some are already
well-known, but I should state them all for completelness:<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">,,,<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">CW
means Condorcet-winner, a candidate who pairwise-beats each of the others. Voted
CW is the CW according to the ballots. Sincere CW is the CW under
sincere-voting.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">BF
means Buriers’ Favorite.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Bus
means the candidate under whom the buriers bury CW,<span> </span>& who consequently pairbeats CW.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">CW,
BF & Bus are the “principles” of the top-cycle.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">There
of course can be more than one Bus, because the CW could be buried under
several candidates who all pairbeat hir.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">wv
means winning-votes.<span> </span>…the number of
voters who vote for the defeater over the defeated in a pairwise-defeat.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">lv
means losing-votes, the number of voters who vote for the defeated over the
defeated in a pairwise-defeat.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Pairwise-support
for X means the number of voters voting X over Y in a pairwise defeat of one
over the other.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">A
candidaes’ Top means the Topcount, the number of voters top-ranking hir.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">A
candidates’s IA stands for Implicit-Approval, which means the number of voters
ranking hir.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">A
candidate’s Mid stands for Midcount, which means IA minus Topcount.<span> </span>Mid is relevant because, though IA is relevant,
Top is unaffected by offensive-strategy, & therefore spoils the usefulness
of IA as a clue.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">However
Top is still a clue, because it suggests who is likely CW. <span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">The
Clues are the quantities that are used as indicators of who is the Bus. They
consist of Top, Mid, Borda, lv & wv..& maybe others.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">The
“Uses” are ways of using some of the clues to judge who is probably the Bus.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">So
autodeterrent methods consist of, & can be denoted as: <span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">Use(clue(s)).<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">I
listed a number of autodeterrent proposals…some mine, some Forest’s.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">GWAGL
was Forest’s idea, & so was the 1<sup>st</sup> autodetrent proposal. So was
Mid, & the use of some of the other clues.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">I
should add that Borda of any kind, including Borda(<=) isn’t so useful
as-is, because it includes a part of the score based on Topcount.<span> </span>…&, as I mentioned, Topcount is
unaffected by offensive-strategy & therefore dilutes the relevance of a
clue.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…&,
contrary to what I suggested before, Borda, by itself, wouldn’t do.
Borda(=<)would result in lesser-evil voters top-ranking an evil.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">So,
as a clue, not as a stand-alone method, better would be Borda minus its Topcount
part.<span> </span>…or, better yet, just use Mid
instead of Borda.<span> </span>…for when only the
top-cycle is looked-at, where (as is most likely) the one or more cycles only
consist of 3 candidates.<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">…<span></span></span></p>
<p class="MsoNormal" style="margin:0in 0in 0.0001pt;line-height:normal;font-size:11pt;font-family:"Calibri","sans-serif""><span style="font-size:10pt;font-family:"Courier New"">There’s
no need to repeat my previous listing of autodeterrent proposals, because,
other than what I’ve said in this post, I’m not making any change in those
already-listed proposals.<span></span></span></p>
</div>