[EM] Quotaless STV
Toby Pereira
tdp201b at yahoo.co.uk
Sat Jul 9 11:43:15 PDT 2011
I was wondering if you could run a Single Transferable Vote election without
worrying about having a Droop/Hare etc. quota.* I'm sort of thinking out loud
and I'm not sure what sort of results this might produce.
In the fist round, all candidates transfer away as many votes as they can get
away with so that they don't end up in last place. So if there are 10
candidates, then having more than 1/(n+1) votes will guarantee not finishing in
last place. Because not every voter will rank every candidate, some candidates
will be "stuck" at much higher than 1/(n+1) and so others may get away with
transferring more away and end up with less than this and still not finish last.
1/(n+1) isn't a specific quota. The candidate in last place is then eliminated.
In each subsequent round, the transferred votes are all reset (de-transferred)
and the process starts again. Continue until the right number of candidates
remain for the number of available seats.
Obviously any candidate reaching the Droop Quota will automatically get elected,
but no quota is actually built into the system at any point. You could also use
this system for single winners as an alternative to the Alternative Vote
(Instant Run-off).
But by eliminating one candidate at a time, it's not a very "Condorcety" method
but could possibly be adapted. You could certainly compare set of candidates
that differed only by one. I might come back to that.
*Actually, I don't know much about STV methods - is Schulze STV quotaless? I've
had a look at its Wikipedia article, and although in some parts it's as clear as
mud, it appears not to have a specific quota.
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