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<body class='hmmessage'><div dir='ltr'> Hi Richard,<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 style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'>Unfortunately, my other obligations have
not allowed me to reply to your answers to our 20<sup>th</sup> VoteFair/APR dialogue
until today.<span style="mso-spacerun: yes;"> </span>However, before I do so, I
would very much appreciate it if you would clarify a question that I have about
your book, ‘Ending the Hidden Unfairness of U.S. Elections’.<span style="mso-spacerun: yes;"> </span>With regard to pages 22 to 29/58 of Chapter
12, I finally understand how you arrived at the ‘score’ of 400 for the winning
sequence i.e. Elliot(E)>Selden(S)>Meredith(M)>Roland(R):<span style="mso-spacerun: yes;"> </span><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 style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'>You started by adding up the number of
the 100 voters who had preferred each of the three candidates to the left of R,
over R, i.e. 60+70+70 = 200.<span style="mso-spacerun: yes;"> </span>You then
added the number who preferred those to the left of M, over M, i.e. 70+70=140.<span style="mso-spacerun: yes;"> </span>Next you added the number who preferred E
over S, i.e. 60.<span style="mso-spacerun: yes;"> </span>The sum of these 3
totals is 400, i.e. the largest score for any one of all the possible
sequences.</span><span style="mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri;"><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 style="mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri;">However, please also explain why the following simpler set of
calculations would not also always allow us to discover the most popular
sequence:<br>
<br>
Firstly, find the grand total of preferences given by the 100
voters to each of all the candidates (4 in this example) over each of the
other candidates (3 in this example). The result is:<br>
Elliot 200<br>
Selden 180<br>
Meredith 90<br>
Roland 80 <br>
<br>
At least in this case, the same sequence is produced: Elliot 1st, Selden 2nd,
Meredith 3rd, and Roland 4th.<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 style="mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri;">Why do we also have to calculate the score for each possible sequence?<br>
<br>
What do you think?</span><span style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'><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 style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'>Steve<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 style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'><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 style='font-size: 12pt; mso-ascii-font-family: Calibri; mso-fareast-font-family: "Times New Roman"; mso-hansi-font-family: Calibri; mso-bidi-font-family: "Times New Roman";'>Re: (21) APR: Steve's 20th dialogue
with Richard Fobes<br>
<o:p></o:p></span></p><font face="Times New Roman">
</font><span style='line-height: 107%; font-family: "Calibri",sans-serif; font-size: 12pt; mso-fareast-font-family: "Times New Roman"; mso-bidi-font-family: "Times New Roman"; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;'>>
From: election-methods-request@lists.electorama.com<br>
> Subject: Election-Methods Digest, Vol 134, Issue 1<br>
> To: election-methods@lists.electorama.com<br>
> Date: Sat, 1 Aug 2015 12:02:14 -0700<br>
> <br>
>> 1. Re: (20) APR: Steve's 20th dialogue with Richard Fobes<br>
> (Richard Fobes)<br>
> <br>
> <br>
> ----------------------------------------------------------------------<br>
> <br>
> Message: 1<br>
> Date: Fri, 31 Jul 2015 17:07:34 -0700<br>
> From: Richard Fobes <ElectionMethods@VoteFair.org><br>
> To: "election-methods@lists.electorama.com"<br>
> <election-methods@lists.electorama.com><br style="mso-special-character: line-break;">
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