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<body class='hmmessage'><div dir='ltr'> <font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>Hi Kristofer and Richard,</span></p><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'></span> </p><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>Richard
Fobes says that his VoteFair popularity ranking method is just another name for
the Condorcet-Kemeny or Kemeny-Young method.<span style="mso-spacerun: yes;">
</span>Accordingly, Richard’s relevant pages in his book (Ending the Hidden
Unfairness…) are basically the same as the relevant part of the ‘Kemeny-Young’
Wikipedia article.<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>Still,
I have a question about the way these articles explain how the ranked alternatives
are to be scored in order to find the winner.<span style="mso-spacerun: yes;">
</span>The ‘Kemeny-Young’ Wikipedia article offers the follow:<o:p></o:p></span></p><font face="Times New Roman">
</font><table class="MsoNormalTable" style="mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;" border="0" cellpadding="0"><font face="Times New Roman">
</font><tbody><tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;" rowspan="2"><font face="Times New Roman">
</font><p align="center" class="MsoNormal" style="margin: 0in 0in 0pt; text-align: center; line-height: normal;"><b><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>All
possible pairs<br>
of choice names<o:p></o:p></span></b></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;" colspan="3"><font face="Times New Roman">
</font><p align="center" class="MsoNormal" style="margin: 0in 0in 0pt; text-align: center; line-height: normal;"><b><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>Number
of votes with indicated preference<o:p></o:p></span></b></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 1;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><b><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>Prefer X over Y<o:p></o:p></span></b></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><b><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>Equal preference<o:p></o:p></span></b></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><b><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>Prefer Y over X<o:p></o:p></span></b></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 2;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Selden<br>
Y = Meredith<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>50<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>10<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>40<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 3;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Selden<br>
Y = Elliot<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>40<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>0<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>60<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 4;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Selden<br>
Y = Roland<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>40<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>0<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>60<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 5;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Meredith<br>
Y = Elliot<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>40<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>0<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>60<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 6;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Meredith<br>
Y = Roland<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>30<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>0<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>70<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 7;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>X = Elliot<br>
Y = Roland<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>30<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>0<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>70<o:p></o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 8;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font><tr style="mso-yfti-irow: 9; mso-yfti-lastrow: yes;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font></tbody></table><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>The sum of the
counts in each row must equal the total number of votes.<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>After the tally
table has been completed, each possible ranking of choices is examined in turn,
and its ranking score is calculated by adding the appropriate number from each
row of the tally table. For example, the possible ranking:<o:p></o:p></span></p><font face="Times New Roman">
</font><ol type="1" start="1"><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Meredith<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l4 level1 lfo1; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Selden<o:p></o:p></span></li><font face="Times New Roman">
</font></ol><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>satisfies the
preferences Elliot > Roland, Elliot > Meredith, Elliot > Selden,
Roland > Meredith, Roland > Selden, and Meredith > Selden. The
respective scores, taken from the table, are<o:p></o:p></span></p><font face="Times New Roman">
</font><ul type="disc"><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot
> Roland: 30<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot
> Meredith: 60<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot
> Selden: 60<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland
> Meredith: 70<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland
> Selden: 60<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l3 level1 lfo2; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Meredith
> Selden: 40<o:p></o:p></span></li><font face="Times New Roman">
</font></ul><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>giving a total
ranking score of 30 + 60 + 60 + 70 + 60 + 40 = 320.<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 3;"><b><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 13.5pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Calculating the overall ranking[<a title="Edit section: Calculating the overall ranking" href="https://en.wikipedia.org/w/index.php?title=Kemeny%E2%80%93Young_method&action=edit§ion=2"><span style="color: blue;">edit</span></a>]<o:p></o:p></span></b></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>After<i style="mso-bidi-font-style: normal;"> the scores for every possible ranking have
been calculated</i>, the ranking that has the largest score can be identified,
and becomes the overall ranking. In this case, the overall ranking is:<o:p></o:p></span></p><font face="Times New Roman">
</font><ol type="1" start="1"><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo3; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo3; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo3; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Selden<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l2 level1 lfo3; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Meredith<o:p></o:p></span></li><font face="Times New Roman">
</font></ol><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>with a ranking
score of 370.<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>S:<span style="mso-spacerun: yes;"> </span>I had to confirm this as follows:<o:p></o:p></span></p><font face="Times New Roman">
</font><table class="MsoNormalTable" style="mso-cellspacing: 1.5pt; mso-yfti-tbllook: 1184;" border="0" cellpadding="0"><font face="Times New Roman">
</font><tbody><tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes; mso-yfti-lastrow: yes;"><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpFirst" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">1.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'>
</span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland>Elliot<span style="mso-spacerun: yes;">
</span>70<span style="mso-spacerun: yes;"> </span><o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">2.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland>Selden<span style="mso-spacerun: yes;"> </span>60<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">3.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland>Meredith70<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">4.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot>Selden<span style="mso-spacerun: yes;"> </span><span style="mso-spacerun: yes;"> </span>60<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">5.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot>Meredith<span style="mso-spacerun: yes;"> </span>60<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">6.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Selden>
Meredith50<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; text-indent: -0.25in; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto; mso-list: l0 level1 lfo4;"><!--[if !supportLists]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-list: Ignore;">7.<span style='font: 7pt/normal "Times New Roman"; font-size-adjust: none; font-stretch: normal;'> </span></span></span><!--[endif]--><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>_________________<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpMiddle" style="margin: 0in 0in 0pt 0.5in; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'><span style="mso-spacerun: yes;"> </span>Total Score<span style="mso-spacerun: yes;"> </span>370<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoListParagraphCxSpLast" style="margin: 0in 0in 8pt 0.5in; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-add-space: auto;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>for this sequence<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>S:<span style="mso-spacerun: yes;">
</span>My question is, why could we not always find the winning sequence
without have to score <i style="mso-bidi-font-style: normal;">every possible
sequence</i> as illustrated above?<span style="mso-spacerun: yes;"> </span>Why
not simply add how many times the 100 voters have preferred each
alternative?<span style="mso-spacerun: yes;"> </span>At least in this example,
the same winning sequence would have been discovered in this way:<o:p></o:p></span></p><font face="Times New Roman">
</font><ol type="1" start="1"><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo5; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Roland<span style="mso-spacerun: yes;"> </span>200<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo5; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Elliot<span style="mso-spacerun: yes;"> </span>150<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo5; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Selden<span style="mso-spacerun: yes;"> </span>130<o:p></o:p></span></li><font face="Times New Roman">
</font><li class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-list: l1 level1 lfo5; tab-stops: list .5in;"><span lang="EN" style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-ansi-language: EN;'>Meredith
110<o:p></o:p></span></li><font face="Times New Roman">
</font></ol><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font><td style="padding: 0.75pt; border: rgb(0, 0, 0); background-color: transparent;"><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-family: "Times New Roman",serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><o:p> </o:p></span></p><font face="Times New Roman">
</font></td><font face="Times New Roman">
</font></tr><font face="Times New Roman">
</font></tbody></table><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>My
second question responds to Kristofer’s answer in our 4<sup>th</sup> [EM] dialogue.
He suggested that ‘</span><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";'>Ranked Pairs/MAM’</span><span style="font-size: 14pt;"> {i.e. maximize affirmed majorities} is<span style="mso-spacerun: yes;"> </span>‘</span><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman";'>a
simple yet good Condorcet method, how about [1]? It works like this:<br>
<span style="mso-spacerun: yes;"> </span>1. Sort all the pairwise contests in
order of strongest to weakest. <br>
<span style="mso-spacerun: yes;"> </span>Discard those that are weaker than a
majority.<br>
<span style="mso-spacerun: yes;"> </span>2. Go down the list and lock in a
pairwise contest unless it contradicts <br>
<span style="mso-spacerun: yes;"> </span>a contest you locked in earlier[2].<br>
<span style="mso-spacerun: yes;"> </span>3. Once you're done, reassemble the
pairwise contests into a ranking. <br>
<span style="mso-spacerun: yes;"> </span>The candidate that is ranked first on it
wins.<br>
<span style="mso-spacerun: yes;"> </span><br>
<span style="mso-spacerun: yes;"> </span>Some additional details are required for
breaking ties, but I've left <br>
<span style="mso-spacerun: yes;"> </span>those out here.’<br>
</span><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>S:<span style="mso-spacerun: yes;"> </span>Is MAM
significantly different from Kemeny-Young/VoteFair? <span style="mso-spacerun: yes;"> </span>Might VoteFair popularity ranking also Maximize
Affirmed Majorities as does MAM? If so, perhaps </span><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: Arial;'>James
Green-Armytage</span><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>’s following findings with
regard to MAM might equal characterize VoteFair:<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>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: <o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>“Judging from who beats whom, max. length, mean length, or sum
of<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>defeats, we get <b><span style="background: rgb(255, 255, 102);">MAM</span></b>
> River+ > Beatpath.<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>Judging from number of defeats (= Copeland score), we get<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>either <b><span style="background: rgb(255, 255, 102);">MAM</span></b> >
River+ > Beatpath<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'>or <b><span style="background: rgb(255, 255, 102);">MAM</span></b> >
Beatpath > River+.”<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal; tab-stops: 45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'><o:p> </o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: Arial;'>[This is quotation from page 8 of JGA’s post 11
years ago:<o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 0pt; line-height: normal;"><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: Arial;'>From: James Green-Armytage <br>
</span><span style='font-family: "Arial",sans-serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'>Subject: </span><a href="http://news.gmane.org/find-root.php?message_id=fc.005b8ffc00f4944e005b8ffc00f4944e.f49457%40mcgregor.edu" target="_top"><b><span style='color: windowtext; font-family: "Arial",sans-serif; font-size: 12pt; text-decoration: none; mso-fareast-font-family: "Times New Roman"; text-underline: none;'>Heitzig method</span></b></a><span style='font-family: "Arial",sans-serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><br>
Newsgroups: </span><a href="http://news.gmane.org/gmane.politics.election-methods" target="_top"><b><span style='color: windowtext; font-family: "Arial",sans-serif; font-size: 12pt; text-decoration: none; mso-fareast-font-family: "Times New Roman"; text-underline: none;'>gmane.politics.election-methods</span></b></a><span style='font-family: "Arial",sans-serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman";'><br>
Date: 2004-09-20 06:29:21]</span><span style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Courier New";'><o:p></o:p></span></p><font face="Times New Roman">
</font><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'></span> </p><p class="MsoNormal" style="margin: 0in 0in 8pt; line-height: normal; mso-margin-top-alt: auto; mso-margin-bottom-alt: auto; mso-outline-level: 1;"><span lang="EN" style='font-size: 14pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-font-kerning: 18.0pt; mso-ansi-language: EN; mso-bidi-font-weight: bold;'>What do
you think? <o:p></o:p></span></p><font face="Times New Roman">
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