<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
<html>
<head>
<meta content="text/html;charset=ISO-8859-1" http-equiv="Content-Type">
</head>
<body bgcolor="#ffffff" text="#000000">
David and interested others,<br>
<br>
<a class="moz-txt-link-abbreviated" href="mailto:Dgamble997@aol.com">Dgamble997@aol.com</a> wrote:<br>
<blockquote type="cite"><font id="role_document" color="#000000"
face="Arial" size="2">
<div><a
href="http://www.nyu.edu/gsas/dept/politics/faculty/brams/approval_preference.pdf">http://www.nyu.edu/gsas/dept/politics/faculty/brams/approval_preference.pdf</a></div>
<div> </div>
<div>I was surprised to find that the PAV (preference approval
voting) method described is identical to something called Ranked
Approval that I posted to this list 18 months ago.</div>
</font></blockquote>
I now notice that a small difference is that Brams-Sanver PAV
allows the voters to enter an explicit approval cutoff so they can rank
above bottom candidates they don't approve,<br>
whereas Gamble RA doesn't.<br>
<br>
<blockquote type="cite"><font id="role_document" color="#000000"
face="Arial" size="2">
<div>Take the following example under Ranked Approval/preference
approval voting:</div>
<div> </div>
<div>41: A</div>
<div>44: B>A</div>
<div>5: C>B</div>
<div>10: C</div>
<div> </div>
<div>A is the only candidate approved by a majority of voters and
therefore the winner.</div>
<div> </div>
<div>If the 44 B>A voters approve only B the votes are now:</div>
<div> </div>
<div>
<div>41: A</div>
<div>44: B</div>
<div>5: C>B</div>
<div>10: C</div>
</div>
<div> </div>
<div>and B is the winner as the most approved candidate.</div>
</font></blockquote>
DMC elects B both times. <br>
<br>
Like DMC, these methods meet Mono-raise (and
"approval-monotonicity") and Definite Majority (i.e. they elect from
the set of candidates not pairwise-beaten by a more<br>
approved candidate); but unlike DMC they fail Condorcet and the
Independence from Irrelevant Ballots criterion (with no countervailing
advantage that I know of).<br>
<br>
<br>
Chris Benham<br>
<br>
<br>
.
</body>
</html>