Re: April 17th Draft of the Voting GR
>> On Fri, 18 Apr 2003 13:22:37 +0200,
>> Matthias Urlichs <smurf@smurf.noris.de> said:
> 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.
Like so?
Replace A.6 with:
A.6 Vote Counting
1. Each voter's ballot ranks the options being voted on. Not all
options need be ranked. Ranked options are considered
preferred to all unranked options. Voters may rank options
equally. Unranked options are considered to be ranked equally
with one another. Details of how ballots may be filled out
will be included in the Call For Votes.
2. If the ballot has a quorum requirement R any options other
than the default option which do not receive at least R votes
ranking that option above the default option are dropped from
consideration.
3. Any (non-default) option which does not defeat the default option
by its required majority ratio is dropped from consideration.
a. Given two options A and B, V(A,B) is the number of voters
who prefer option A over option B.
b. An option A defeats the default option D by a majority
ratio N, if V(A,D) is strictly greater than N * V(D,A).
c. If a supermajority of S:1 is required for A, its majority ratio
is S; otherwise, its majority ratio is 1.
4. From the list of undropped options, we generate a list of
pairwise defeats:
a. An option A defeats an option B, if V(A,B) is strictly
greater than V(B,A).
b. An option A transitively defeats an option C if A
defeats C or if there is some other option B where A
defeats B AND B transitively defeats C.
5. We construct the Schwartz set from the list of pairwise
defeats: An option A is in the Schwartz set if for all
options B, either A transitively defeats B, or B does not
transitively defeat A.
If there are defeats between options in the Schwartz set, we
drop the weakest such defeats from the list of pairwise
defeats, and return to step 5.
a. A defeat (A,X) is weaker than a defeat (B,Y) if V(A,X)
is less than V(B,Y). Also, (A,X) is weaker than (B,Y)
if V(A,X) is equal to V(B,Y) and V(X,A) is greater than
V(Y,B).
b. A weakest defeat is a defeat that has no other defeat
weaker than it. There may be more than one such defeat.
6. If there are no defeats within the Schwartz set, then the winner
is chosen from the options in the Schwartz set. If there is
only one such option, it is the winner. If there are multiple
options, the elector with the casting vote chooses which of those
options wins.
--
No matter how much money you spend, you can't make a racehorse out of
a pig. You can, however, make an awfully fast pig.
Manoj Srivastava <srivasta@debian.org> <http://www.debian.org/%7Esrivasta/>
1024R/C7261095 print CB D9 F4 12 68 07 E4 05 CC 2D 27 12 1D F5 E8 6E
1024D/BF24424C print 4966 F272 D093 B493 410B 924B 21BA DABB BF24 424C
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