<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:12px"><div id="yui_3_16_0_1_1443699685883_12241" dir="ltr"><span id="yui_3_16_0_1_1443699685883_12698">MAM, River, and Beatpath(wv) are a lot closer to each other than any is to Kemeny-Young. Those three satisfy basically all the same criteria. The "MAM" criterion (whatever it's actually called) may have some small value missing from River or Beatpath/Schulze, but even by that measure these two are nearly as good. Kemeny is really a different ballpark.</span></div><div id="yui_3_16_0_1_1443699685883_12241"><span><br></span></div><div id="yui_3_16_0_1_1443699685883_12241"><span>Kevin</span></div><br>  <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 12px;" id="yui_3_16_0_1_1443699685883_12193"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1443699685883_12192"> <div dir="ltr" id="yui_3_16_0_1_1443699685883_12191"> <hr size="1" id="yui_3_16_0_1_1443699685883_12257">  <font size="2" face="Arial" id="yui_3_16_0_1_1443699685883_12190"> <b><span style="font-weight:bold;">De :</span></b> steve bosworth <stevebosworth@hotmail.com><br> <b><span style="font-weight: bold;">À :</span></b> "election-methods@lists.electorama.com" <election-methods@lists.electorama.com>; "km_elmet@t-online.de" <km_elmet@t-online.de>; "electionmethods@votefair.org" <electionmethods@votefair.org> <br> <b><span style="font-weight: bold;">Envoyé le :</span></b> Jeudi 1 octobre 2015 1h16<br> <b><span style="font-weight: bold;">Objet :</span></b> [EM] (3) EM: VoteFair/Kemeny-Young: Steve's 3rd dialogue with Kristofer and Richard<br> </font> </div> <div class="y_msg_container" id="yui_3_16_0_1_1443699685883_12258"><div id="yiv0755307937"><div id="yui_3_16_0_1_1443699685883_12260"><div dir="ltr" id="yui_3_16_0_1_1443699685883_12259"><div class="yiv0755307937MsoNormal" style="margin:0in 0in 8pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12282"><span style="font-size:14pt;"><br>
</span><span lang="EN" style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12281">S:<span style="">  </span>Is MAM
significantly different from Kemeny-Young/VoteFair? <span style=""> </span>Might VoteFair popularity ranking also Maximize
Affirmed Majorities as does MAM? If so, perhaps </span><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12749">James
Green-Armytage</span><span lang="EN" style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12368">’s following findings with
regard to MAM might equal characterize VoteFair:</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12300"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12299">The following part of JGA’s analysis of the different preferred results
when using the following different pairwise calculations to discover the winner,
her reports that: </span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12298"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12297">“Judging from who beats whom, max. length, mean length, or sum
of</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12548"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12752">defeats, we get <b id="yui_3_16_0_1_1443699685883_12751"><span style="background:rgb(255, 255, 102);" id="yui_3_16_0_1_1443699685883_12750">MAM</span></b>
> River+ > Beatpath.</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12549"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12550">Judging from number of defeats (= Copeland score), we get</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12551"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12753">either <b><span style="background:rgb(255, 255, 102);">MAM</span></b> >
River+ > Beatpath</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12552"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12754">or <b id="yui_3_16_0_1_1443699685883_12758"><span style="background:rgb(255, 255, 102);" id="yui_3_16_0_1_1443699685883_12757">MAM</span></b> >
Beatpath > River+.”</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12685"><span style="font-size:14pt;">  </span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;" id="yui_3_16_0_1_1443699685883_12756"><span style="font-size:14pt;" id="yui_3_16_0_1_1443699685883_12755">[This is quotation from page 8 of JGA’s post 11
years ago:</span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 0pt;line-height:normal;"><span style="font-size:14pt;">From: James Green-Armytage <br>
</span><span style="font-family:"Arial", sans-serif;font-size:12pt;">Subject: </span><a rel="nofollow" target="_blank" href="http://news.gmane.org/find-root.php?message_id=fc.005b8ffc00f4944e005b8ffc00f4944e.f49457%40mcgregor.edu"><b><span style="color:windowtext;font-family:"Arial", sans-serif;font-size:12pt;text-decoration:none;">Heitzig method</span></b></a><span style="font-family:"Arial", sans-serif;font-size:12pt;"><br>
Newsgroups: </span><a rel="nofollow" target="_blank" href="http://news.gmane.org/gmane.politics.election-methods"><b><span style="color:windowtext;font-family:"Arial", sans-serif;font-size:12pt;text-decoration:none;">gmane.politics.election-methods</span></b></a><span style="font-family:"Arial", sans-serif;font-size:12pt;"><br>
Date: 2004-09-20 06:29:21]</span><span style="font-size:14pt;"></span></div><font face="Times New Roman">

</font><div class="yiv0755307937MsoNormal" style="margin:0in 0in 8pt;line-height:normal;"><span lang="EN" style="font-size:14pt;"></span> </div><div class="yiv0755307937MsoNormal" style="margin:0in 0in 8pt;line-height:normal;"><span lang="EN" style="font-size:14pt;">What do
you think? </span></div><font face="Times New Roman">

</font>                                     </div></div>
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