Warren has done a lot of research into Range voting. I wonder how well RV works as a Condorcet completion method.

Actually, I was on his site the other day (http://www.rangevoting.org/MedianVrange.html), looking at the Balinski-Laraki median range voting method. It made me wonder what the results would be if you took the combined score (or the average) of all range votes above the median for every candidate. It looks like it should satisfy the majority criterion, assuming people have a single top preference (ties at the top score would complicate that a bit).

I was at work, though, so I didn't play with the numbers, though if someone has done that, it would be interesting to see. It probably is on the range voting site, though I didn't see it.

Michael Rouse

Paul Kislanko wrote:
I personally like the idea of using Bucklin to break a Condorcet cycle.
Suppose alternatives Ax, Ay, and Az prevent there being a Condorcet winner.
Then find the best ranks Rx, Ry, Rz for which a majority of the voters rank
Ax, Ay, Az AT LEAST Rx,y,z respectively. If one of Rx, Ry, Rz is better than
the others, that determines the winner. If Rx=Ry=Rz (or the two best are
equal) then use the size of the respective majority (i.e. if 100 voters and
52 give Rx but 51 give Ry then Ax wins the tie with Ay.)

If both the R and #votes providing the majority that determines R are the
same we have a true tie. Either flip a coin or have a runoff.

-----Original Message-----
From: [email protected]
[mailto:[email protected]] On Behalf Of Terry
Bouricius
Sent: Thursday, May 14, 2009 2:48 PM
To: Warren Smith; election-methods
Subject: Re: [EM] Cramster question

Warren,

However, using first-choice plurality to settle Condorcet cycles could easily elect the Condorcet-loser (the candidate who loses in every pairwise match-up). There are many far superior cycle breakers. I personally favor ranked-pairs because it is both reasonable, and relatively easy to explain to lay people (unlike many cycle breakers).

Terry Bouricius

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