<html><head></head><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif;font-size:13px"><div id="yui_3_16_0_ym19_1_1474795764796_3170">Would you be able to illustrate this with an example?</div><div id="yui_3_16_0_ym19_1_1474795764796_3122"><br></div><div id="yui_3_16_0_ym19_1_1474795764796_3123">Thanks<br></div><div id="yui_3_16_0_ym19_1_1474795764796_3064"><span><br></span></div><div id="yui_3_16_0_ym19_1_1474795764796_3150"><span id="yui_3_16_0_ym19_1_1474795764796_3151">Toby</span></div><div id="yui_3_16_0_ym19_1_1474795764796_3098" class="qtdSeparateBR"><div id="yui_3_16_0_ym19_1_1474795764796_3149"><br></div><div id="yui_3_16_0_ym19_1_1474795764796_3152"><br></div></div><div style="display: block;" id="yui_3_16_0_ym19_1_1474795764796_3131" class="yahoo_quoted"> <blockquote id="yui_3_16_0_ym19_1_1474795764796_3130" style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; margin-top: 5px; padding-left: 5px;"> <div id="yui_3_16_0_ym19_1_1474795764796_3129" style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 13px;"> <div id="yui_3_16_0_ym19_1_1474795764796_3128" style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, Sans-Serif; font-size: 16px;"> <div id="yui_3_16_0_ym19_1_1474795764796_3134" dir="ltr"> <font id="yui_3_16_0_ym19_1_1474795764796_3133" size="2" face="Arial"> <hr id="yui_3_16_0_ym19_1_1474795764796_3163" size="1"> <b><span style="font-weight:bold;">From:</span></b> Ross Hyman <rahyman@sbcglobal.net><br> <b><span style="font-weight: bold;">To:</span></b> "election-methods@lists.electorama.com" <election-methods@lists.electorama.com> <br> <b><span style="font-weight: bold;">Sent:</span></b> Sunday, 25 September 2016, 4:44<br> <b id="yui_3_16_0_ym19_1_1474795764796_3216"><span id="yui_3_16_0_ym19_1_1474795764796_3215" style="font-weight: bold;">Subject:</span></b> [EM] clone independent kemeny method<br> </font> </div> <div id="yui_3_16_0_ym19_1_1474795764796_3127" class="y_msg_container"><br><div id="yiv2397980500"><div id="yui_3_16_0_ym19_1_1474795764796_3126"><div id="yui_3_16_0_ym19_1_1474795764796_3125" style="color:#000;background-color:#fff;font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:16px;"><div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4048">
</div><div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4241">The Kemeny election method finds the rank order that
minimizes the average Kemeny tau distance between it and each ballot’s
ranking.<span id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4242" style=""> </span>I believe this can be made clone
independent by instead of minimizing the Kemeny tau distance, minimizing the
following distance:</div>
<div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4243">Define a swap as the swapping of candidates ranked n to n+k
with candidates ranked n +k +1 to n+k+1+m so that the order would now be<span id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4244" style=""> </span>n – 2, n-1, n+k+1, n+ k+2, ….n+k+1+m, n, n+1,
n+2, … n+k, n+k+1+m+1, …</div>
<div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4245">Both k and m can be any non negative integers. They are restricted to 0 for the Kemeny tau distance. <br></div><div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4255"><br></div><div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4295">The distance between two rankings is the minimum number of
swaps needed to turn one into the other.</div>
<div id="yiv2397980500yui_3_16_0_ym19_1_1474774648941_4246"> </div>
</div></div></div><br>----<br>Election-Methods mailing list - see <a id="yui_3_16_0_ym19_1_1474795764796_3349" href="http://electorama.com/em" target="_blank">http://electorama.com/em </a>for list info<br><br><br></div> </div> </div> </blockquote> </div></div></body></html>