Good question Rob. There have been several attempts on this list to extend Condorcet to multi-winner, but none have been really satisfying.

On the other hand, Forest Simmons has found an excellent way to extend approval voting to multi-winner. Proportional approval voting (PAV) is, in my opinion, better than STV, and not just because it reduces to approval voting in the single-winner case.

Here's the initial thread about it:

http://groups.yahoo.com/group/election-methods-list/message/6367

and here's some commentary I had before:

http://groups.yahoo.com/group/election-methods-list/message/8744

-Adam

At 03:10 PM 7/7/2003 -0400, Rob Speer wrote:

Does anyone know of any theoretically nicer PR methods than STV? Usually
when I see proportional methods being discussed, the discussion stops at
STV.


Now, I agree that STV is pretty nice (I live in Cambridge and I'm pretty happy with the system), but there is the fact that in the one-winner case it reduces to IRV, which I rather dislike.


Although the multiple winners seem to avoid some of IRV's nastier cases, it seems that there could be a method with better properties, perhaps one that reduced to a Condorcet method.


Of course I've heard "Condorcet Series" mentioned - just pick the top N winners in a Condorcet method - but of course that isn't proportional; it elects N centrist candidates.

[Incidentally, I've had a heck of a time sending this message. I'm new
to the list, and I tried to send to [EMAIL PROTECTED],
which gave me a bounce telling me to send my message instead to...
[EMAIL PROTECTED] Something is messed up on the Yahoo
end.]

--
Rob Speer

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