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<blockquote type=cite class=cite cite>if I am a voter, my
"power" for<br>
a given set of winners is the sum of <br><br>
([TotalOfAllPower] / [NumberOfSeats]) /
[NumberOfVotersForThisCandidate]</blockquote><br>
<blockquote type=cite class=cite cite>(Every ballot initially has
strength: (TotalOfAllPower)/(NumberOfAllVoters). </blockquote><br>
<blockquote type=cite class=cite cite>2. The strength of every ballot who
voted for this candidate is reduced by:<br>
((TotalOfAllPower)/(NumberOfSeatsTotal)) /
(VotersForThisCandidate).</blockquote><br>
I don't follow what these variables (especially "power")
mean. Please explain exactly what they are.<br><br>
<blockquote type=cite class=cite cite>It seems <br>
a desirable quality that the Approval winner is always
elected.</blockquote><br>
Not necessarily. Foe example, if the candidates are left of center,
right of center, and center, and you're electing two seats, then electing
center (the probably approval winner) will result in a lopsided slate of
candidates. Some voters are over-represented, and others are
under-represented. The same would be true with left, left-center,
center, right-center, and right, with four seats.<br><br>
This sort of problem is an inherent weakness of any
"sequential" PR method, which elects one candidate, adjusts
some weights, and then elects the next candidate. If you wrote your
simulation to actually step through every possible slate of candidates,
and find the one that equalized voter "power" to the greatest
extent possible, you would probably avoid these issues.<br><br>
<blockquote type=cite class=cite cite>Any thoughts?</blockquote><br>
Only that you may as well look at the PAV links I provided earlier:
Here's the initial thread about it:<br><br>
<font color="#0000FF"><u><a href="http://groups.yahoo.com/group/election-methods-list/message/6367" eudora="autourl">http://groups.yahoo.com/group/election-methods-list/message/6367<br><br>
</a></u></font>and here's some commentary I had before (which is
particularly germane to your approach):<br><br>
<font color="#0000FF"><u><a href="http://groups.yahoo.com/group/election-methods-list/message/8744" eudora="autourl">http://groups.yahoo.com/group/election-methods-list/message/8744<br><br>
</a></u></font>-Adam</html>