[EM] [CES #4445] Re: Looking at Condorcet
Dave Ketchum
davek at clarityconnect.com
Mon Feb 6 20:27:12 PST 2012
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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