Dear Andrew Myers,<div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><br></font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">this method looks interesting, as it is proportional, Condorcet and non STV-like.</font></div>
<div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><span class="Apple-style-span" style="font-family: arial; "><div><span class="Apple-style-span" style="font-family: arial, helvetica, sans-serif; ">You write on your web-page, that: "the correctness of the algorithm depends on a currently unproved conjecture: that if improvement of a committee is possible, it can be done by replacing one member at a time". </span></div>
<div><font class="Apple-style-span" face="arial, helvetica, sans-serif">It would be very difficult to gain support for a method, which relies on an unproven conjecture.</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">I see this as the biggest problem in your proposed method.</font></div>
<div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><br></font></div></span></font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">I guess that from the presentation every voter votes for M candidates, where M is the number of seats, and that the voter uses range-like voting for each of the candidates voted for on the ballot.<br>
</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">I don't understand the two modes - combined weights and best candidate and why two modes are needed.</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><br>
</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">You write on your web page, that: "</font><font class="Apple-style-span" face="arial, helvetica, sans-serif">The factor (</font><i style="font-style: italic; "><font class="Apple-style-span" face="arial, helvetica, sans-serif">k</font></i><font class="Apple-style-span" face="arial, helvetica, sans-serif">+1) may be surprising in the condition for proportional validity, but it actually agrees with proportional representation election methods developed elsewhere; it is analogous to the </font><a href="http://www.encyclopedia4u.com/d/droop-quota.html" style="text-decoration: none; background-color: transparent; "><font class="Apple-style-span" face="arial, helvetica, sans-serif"><font class="Apple-style-span" color="#000000">Droop quota</font></font></a><font class="Apple-style-span" face="arial, helvetica, sans-serif"> used by many STV election methods"</font></div>
<div><font class="Apple-style-span" face="arial, helvetica, sans-serif">It could be nice, if you could show a proof on how the method achieves proportionality, what advantages it has to standard STV and how it tackles strategic-voting/vote management (for instance - give zero weight to the strongest competitors).</font></div>
<div><font class="Apple-style-span" face="arial, helvetica, sans-serif">I assume it is not used for elections anywhere, so some alpha testing could be appropriate.</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><br>
</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">Best regards</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif">Peter Zborník</font></div><div><font class="Apple-style-span" face="arial, helvetica, sans-serif"><br>
</font></div><div><br></div><div><br><div class="gmail_quote">2010/5/4 Andrew Myers <span dir="ltr"><<a href="mailto:andru@cs.cornell.edu">andru@cs.cornell.edu</a>></span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
If you are looking for a proportional Condorcet method, I will also recommend the proportional election method that I developed. It is not STV-like, but it achieves proportionality when there are blocs of voters. It has the added advantage that it is already built into a running Internet voting system, CIVS. This algorithm has been used for many online polls and has been a success. The code of CIVS is publicly available. For more information about the method, see:<br>
<br>
<a href="http://www.cs.cornell.edu/w8/~andru/civs/proportional.html" target="_blank">http://www.cs.cornell.edu/w8/~andru/civs/proportional.html</a><br>
<br>
By the way, CIVS has recently acquired support for internationalization. It would be easy to construct a Czech instance if someone were willing to translate approximately 250 sentences from English to Czech. There is, for example, a Hungarian version (see <a href="http://www.cs.cornell.edu/w8/~andru/civs-test/index.html.hu" target="_blank">http://www.cs.cornell.edu/w8/~andru/civs-test/index.html.hu</a>, translated by Árpád Magosányi). I am in the market for help translating to other languages.<br>
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Cheers,<br><font color="#888888">
<br>
-- Andrew</font><div><div></div><div class="h5"><br>
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