Bob Richard wrote:
I'm obviously missing something really, really basic here. Can someone
explain to me what it is?
> Take it from the FPTP count and recount it
> into the N*N array by Condorcet rules ...
I still have no idea what this means. Here's an example:
Plurality result:
Able: 45
Baker: 40
Charlie: 15
Here's a (very naive) NxN matrix (fixed-width font required):
Able Baker Charlie
------- ------- -------
Able -- 45 45
Baker 40 -- 40
Charlie 15 15 --
But it's not a Condorcet count because we have, for example, no idea how
many of the Able voters prefer Baker to Charlie and how many prefer
Charlie to Baker. As a result, the pairs of cells above and below the
diagonal don't add up to 100. I still don't see how we can "recount it
into the NxN matrix by Condorcet rules".
Someone please show me the NxN matrix that Dave Ketchum would use to
combine these votes with the other votes that had been cast on ranked
ballots.
If we consider the votes as bullet votes, then we can expand to:
45: Able > Baker = Charlie
40: Baker > Able = Charlie
15: Charlie > Able = Baker
which produces the matrix you gave above.
That's the "consider bullet voters" idea. The other one is to count the
plurality vote locally, so you get:
100: Able > Baker > Charlie
which gives
A B C
A 0 100 100
B 0 0 100
C 0 0 0
and which could be used for any voting system. I think the first idea is
better, though.
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