<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space; ">It pays to be careful when rearranging topics.<div><br></div><div>Here is a quote from Wikipedia, where they have to be careful:</div><div><blockquote type="cite" class=""><span class="Apple-style-span" style="color: rgb(0, 0, 0); font-family: -webkit-sans-serif; font-size: 32px; line-height: 47px; ">In <a href="http://en.wikipedia.org/wiki/Voting_system" title="Voting system" style="text-decoration: none; color: rgb(6, 69, 173); background-image: none; background-repeat: initial; background-attachment: initial; -webkit-background-clip: initial; -webkit-background-origin: initial; background-color: initial; background-position: initial initial; ">voting systems</a>, the <b>Smith set</b>, named after <a href="http://en.wikipedia.org/wiki/John_H._Smith_(mathematician)" title="John H. Smith (mathematician)" style="text-decoration: none; color: rgb(6, 69, 173); background-image: none; background-repeat: initial; background-attachment: initial; -webkit-background-clip: initial; -webkit-background-origin: initial; background-color: initial; background-position: initial initial; ">John H. Smith</a>, is the smallest non-empty set of candidates in a particular election such that each member beats every other candidate outside the set in a pairwise election. </span></blockquote><div><br></div>"beats" is what I went looking for. Note that such as "1st rank level" are not mentioned - most CW s and cycle members are such, but the definition does not demand that all such be first rank.<br><div><br></div><div>DWK</div><br><div><div>On Apr 20, 2012, at 1:58 PM, Michael Ossipoff wrote:</div><br class="Apple-interchange-newline"><blockquote type="cite"><div>When I defined Condorcet-Top (CT), I defined "winning set". Instead, I should have just</div><div>said "Smith set", because that concisely says what I meant.</div><div> </div><div>Condorcet-Top (CT):</div> <div> </div><div>The winner is the Smith set member who is ranked at 1st rank level on the most ballotss.</div><div> </div><div>[end of CT definition]</div></blockquote></div></div></body></html>