Hi,
Jochen Voss wrote:
>
> But I have no clear idea how to drop "drop a defeat". I guess it's
> just a problem with my english, but how do I do it? Do I clear some
> cells in the tally table? Maybe one or two or a complete row?
>
From the table ...
A B C
A 5 1
B 2 7
C 6 0
... you construct a list of defeats.
A > B 5:2
B > C 7:0
C > A 6:1
The whole Schwartz set stuff applies when this list has cycles, because in
that case the voter's opinion is ambiguous. You can think of it as a
directed cyclic graph. You cut links from this graph until there are no
more cycles. "Drop a defeat" (from the above list) is equivalent to
"remove a link" (from the graph).
The "weakest link" rule applies to the absolut vote count and not to the
difference between the A>B and the B>A votes because the B>A part is
already represented by the votes which go through B>C>A.
Proposed change to make this more clear:
A.6.
4.
From the list of undropped options, we generate a list of pairwise defeats.
[ insert A.6.4.a and A.6.4.b ]
5.
We construct the Schwartz set.
[ insert A.6.4.c ]
6.
... and return to step 5.
That should explain better what is happening.
--
Matthias Urlichs | noris network AG | http://smurf.noris.de/
--
"Why do I want to believe what I believe?... Science, to put it somewhat
vulgarly, is a technique to keep yourself from kidding yourself."
[Insisting on the Impossible: The Life of Edwin Land, p. 12]
Attachment:
pgpJdYVwRhAbr.pgp
Description: signature