How did we get here?  What I see called Condorcet is not really that.

On Feb 6, 2012, at 10:02 PM, Jameson Quinn wrote:
...

Say people vote rated ballots with 6 levels, and after the election you see a histogram of candidate X and Y that looks like this:

(better)
6:Y X
5:  Y  X
4:     YX
3:     XY
2:  X  Y
1:X Y
(worse)
N:123456789

That is, 3 people rated X as 6 and only one person rated them as 1, and vice versa for Y.

X wins, right?

If it's Condorcet, not necessarily. This is consistent with a 14:12 victory for Y over X.

I count 15 vs 6, being that all you can say in Condorcet is X>Y, X=Y, and X<Y. There being no cycles in this election, I would not expect any variation among Condorcet methods. Perhaps Jameson was thinking of something other than Condorcet - consistent with saying "rated" rather than "ranked"?

If you present the pairwise total, it's "obvious" to people that Y should win. If you present the histogram, it's at least as "obvious" to people that X should win. If what people find obvious isn't even consistent (which even just pairwise isn't, of course; that's why there is more than one Condorcet system), then you can't elevate "obvious" to an unbreakable principle.
...

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