On Nov 11, 2003, at 19:47, Branden Robinson wrote:
Of course it does. Consider:
[ ] Choice 1: Remove Clause 5 of the Social Contract(, Keep Debian
Swirl Red)
[ ] Choice 2: Remove Clause 5 of the Social Contract, Make Debian
Swirl Green
[ ] Choice 3: Remove Clause 5 of the Social Contract, Make Debian
Swirl Blue
[ ] Choice 4: Further Discussion
250 ballots ranking 1234
250 ballots ranking 2314
250 ballots ranking 3124
250 ballots ranking 2221
Not sure how to parse 2221, but I'll assume its 21 with everything else
left blank, meaning it ranks 4 and 3 equal.
First:
1 and 2 got 1000 votes above the default option, zero below.
3 got 750 votes above the default option, zero below.
All options pass supermajority and quorum.
Second:
1 2 3 4
------------------ ( This table show V(ROW,COLUMN) )
1 | - 500 500 0
2 | 500 - 250 0
3 | 250 750 - 250
4 | 1000 1000 750 -
Pairwise defeats:
V(3,1) > V(1,3)
V(1,4) > V(4,1)
V(2,3) > V(3,2)
V(2,4) > V(4,2)
V(3,4) > V<4,3)
Transitive Defeats:
3, 1
1, 4
2, 3
2, 4
3, 4
3, 1, 4
2, 3, 4
Schwartz Set:
1: No. Defeated by 3, does not defeat 3.
2: Yes.
3: No. Defeated by 2, does not defeat 2.
4: No. Defeated by many, no victories
By my calculations, option 2 wins.