<div dir="ltr"><br><div class="gmail_extra"><br><br><div class="gmail_quote"><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
From: Jobst Heitzig <<a href="mailto:heitzig-j@web.de">heitzig-j@web.de</a>><br>
To: Michael Ossipoff <<a href="mailto:email9648742@gmail.com">email9648742@gmail.com</a>>,<br>
        "<a href="mailto:election-methods@electorama.com">election-methods@electorama.com</a>" <<a href="mailto:election-methods@electorama.com">election-methods@electorama.com</a>><br>
Subject: Re: [EM] Beatpath vs Ranked-Pairs<br>
Message-ID: <<a href="mailto:526A4064.4090505@web.de">526A4064.4090505@web.de</a>><br>
Content-Type: text/plain; charset=ISO-8859-1<br>
<br>
Dear Michael,<br>
(...)<br></blockquote><div> </div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div>
Even further, when defeat strength is defined as the approval of the<br>
defeating candidate, then River, Beatpath, and Ranked Pairs are all<br>
equivalent to DMC:<br>
<a href="http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-March/015465.html" target="_blank">http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-March/015465.html</a>.<br>

See here for a nice example:<br>
<a href="http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-May/015873.html" target="_blank">http://lists.electorama.com/pipermail/election-methods-electorama.com/2005-May/015873.html</a>.<br>
<br>
</div>Also, don't forget that if defeats that are also coverings are considered before defeats that are not coverings, the River winner will be an uncovered candidate.  Since the covering relation is a tree, it becomes a sub-tree of the River tree when defeats are ranked this way.<br>
</blockquote><div><br></div><div>Forest <br></div></div><br></div></div>