<div dir="ltr"><div><div><div><div><div><div><div><div>Yes, but ICT defines "beat" in a wordier way that people hear as complicated.<br><br></div>At EM, I can say "majority-defeated", because people here know what that means, that I'm referring to pairwise-defeats. But otherwise I'd have to say it differently. Here's how I'd define MDDTR to the public.<br><br></div>Majority-Disqualification:<br><br></div>You rate each candidate "Top", "Middle", or "Bottom". If you don't rate a candidate, that counts as rating hir "Bottom".<br><br></div>The winner is the most top-rated candidate who doesn't have anyone rated over hir by a majority.<br><br></div>(If each candidate has someone ranked over hir by a majority, then the winner is the most favorite candidate.)<br><br></div>(end of definition)<br><br></div>I'd call the method "Majority-Disqualification".<br><br></div>Michael Ossipoff<br><div><div><div><br><br></div></div></div></div><div class="gmail_extra"><br><div class="gmail_quote">On Fri, Nov 11, 2016 at 7:39 PM, Forest Simmons <span dir="ltr"><<a href="mailto:fsimmons@pcc.edu" target="_blank">fsimmons@pcc.edu</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div dir="ltr">You wrote in part ...<br><div><span class=""><div class="gmail_extra"><br><div class="gmail_quote"><div>>Another advantage that it has over 3-Slot ICT is that 3-Slot MDDTR has a much >simpler definition:<br><br></div>>The winner is the most favorite candidate who isn't majority-beaten.</div><br></div></span><div class="gmail_extra">Three slot ICT could be defined in the same way;<br><br></div><div class="gmail_extra">Elect the most favorite candidate who isn't strongly beaten.<br><br></div><div class="gmail_extra">Neither definition tells what to do when every candidate is beaten (majority beaten or strongly beaten, respectively). But that is just a detail of the definition that doesn't have to be mentioned immediately.<br><br></div><div class="gmail_extra">Here's a more complete definition that works in both cases:<br><br></div><div class="gmail_extra">Eliminate all candidates that are {majority, strongly} beaten unless that would eliminate all candidates. Elect the most favorite among the remaining.<br><br></div><div class="gmail_extra">So ordinary ICT and MDDTR are equally easy to define. It's a matter of which has the best properties.<br></div></div></div>
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