<div dir="auto"><div dir="auto">So called BTR-IRV, "Bottom Two Runoff IRV" goes along those lines. </div><div dir="auto"><br></div><div dir="auto">You probably remember "Benham" that runs IRV elimination until there remains a candidate undefeated by any of the other remaining candidates.</div><div dir="auto"><br></div>This reminds me of basing the Sequential Pairwise Elimination agenda order on Top preferences ... by using those preferences to "de-clone" the Borda agenda order:<div dir="auto"><br></div><div dir="auto">The agenda order is given by SB(X), the Sum over all ballots B of the first place votes of the candidates ranked above X on B. </div><div dir="auto"><br></div><div dir="auto">The larger SB(X), the later X is (on average) in the rankings, and the rearlier X is in the elimination agenda.</div><div dir="auto"><br></div><div dir="auto"><br></div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Wed, Sep 20, 2023, 4:56 AM Michael Ossipoff <<a href="mailto:email9648742@gmail.com">email9648742@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">
<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"">If,
using voted rankings, Sequential-Pairwise’s comparison-order is determined by
giving, to the candidates with higher top-count score, a later position in the
comparison-order, so that voters don’t know what the comparison-order will be…<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"">…&
if voters’ knowledge of eachother’s preferences is no better than it is now in
political-elections…<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"">…Does
that Sequential-Pairwise election have an offensive strategy with
gain-expectation comparable to what it would have in MinMax, RP & CSSD?<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"">…And,
if so, is there a defensive strategy to thwart or deter that offensive
strategy?<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
seems of interest because Sequential-Pairwise is so much less
computationally-demanding than the other pairwise-count 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"">If,
using voted rankings, Sequential-Pairwise’s comparison-order is determined by
giving, to the candidates with higher top-count score, a later position in the
comparison-order, so that voters don’t know what the comparison-order will be…<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"">…&
if voters’ knowledge of eachother’s preferences is no better than it is now in
political-elections…<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"">…Does
that Sequential-Pairwise election have an offensive strategy with
gain-expectation comparable to what it would have in MinMax, RP & CSSD?<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"">…And,
if so, is there a defensive strategy to thwart or deter that offensive
strategy?<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
seems of interest because Sequential-Pairwise is so much less
computationally-demanding than the other pairwise-count methods.<span></span></span></p>
</div>
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