<!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">
<br>
<br>
Abd ul-Rahman Lomax wrote:<br>
<blockquote type="cite">
<pre wrap="">At 09:51 AM 7/24/2007, Kevin Venzke wrote:
</pre>
<blockquote type="cite">
<pre wrap="">Warren implemented his own version afterwards; I suggest his results if
you're really interested. <a class="moz-txt-link-freetext" href="http://rangevoting.org/RVstrat3.html">http://rangevoting.org/RVstrat3.html</a>
</pre>
</blockquote>
<pre wrap=""><!---->
Yes, I'm familiar with the page.</pre>
</blockquote>
<br>
I had seen it but forgotten about it. Apparently Abd doesn't
understand this table with which he is so<br>
"familiar".<br>
<br>
<blockquote type="cite">
<pre wrap="">These simulations are looking that the return to the voter from
various strategies, a direct answer to the issue posed by those who
claim that voting Approval style is optimal. It turns out that it's
optimal in some limited cases:</pre>
</blockquote>
<br>
No. Only when there are no other voters does any other strategy do as
well. Of the ten strategies<br>
considered in the table, seven of them are versions of "voting
Approval style".<br>
<br>
<blockquote type="cite">
<pre wrap="">The result of the studies cited: in large elections with three
candidates, the optimal strategies are Mean-Based Thresholding, which
is an Approval strategy, and Bisector-based Thresholding, a different
Approval method which, with the utility distributions in these
simulations, appears to be identical in result (though individual
voter votes may vary). However, Scaled Sincerity -- which is what I
called Normalized Sincere Range -- is close behind.</pre>
</blockquote>
"Close behind" is still *behind*.<br>
<br>
<blockquote type="cite">
<pre wrap="">But with very few voters, Plurality actually beats those methods, and
so does Scaled Sincerity.</pre>
</blockquote>
<br>
"Plurality" is of course another approval strategy, and Scaled
Sincerity only beats Mean-based<br>
Thresholding with nine or fewer voters.<br>
<br>
<br>
Chris Benham<br>
<br>
<br>
<br>
</body>
</html>