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Re: current A.6 draft [examples]



On Sat, Nov 30, 2002 at 03:51:36AM +1000, Anthony Towns wrote:
> Actually, A defeats B by 3:2. You meant:
> 3 ABD
> 1 BDA
> 1 DAB

Thanks for pointing this out.

I've modified my test program to dump defeats, and to mention the
ratio of the eliminated options, and I've verified that it gives the
same results as before.  Here's the full set of examples ballots from
http://lists.debian.org/debian-vote/2002/debian-vote-200211/msg00321.html
with those intermediate steps listed:

______________________________________________________________________

A requires 2:1 majority; D is the default option
3 ABD
1 BDA
1 DAB

D defeats A 4:3
A defeats B 4:1
B defeats D 4:1

eliminate 4:1

D defeats A 4:3

tie between B and D
______________________________________________________________________

A requires 2:1 majority; D is the default option
60 ABD
30 BAD
10 DBA

B defeats D 90:10
A defeats D 90:20
A defeats B 60:40

A wins
______________________________________________________________________

S requires 2:1 majority; T requires 2:1 majority; D is the default option
60 STD
50 TDS

D defeats S 100:60
T defeats D 110:0
S defeats T 60:50

eliminate 60:50

D defeats S 100:60
T defeats D 110:0

T wins
______________________________________________________________________

A requires 2:1 majority; D is the default option
60 ABD
30 BDA
10 DBA

D defeats A 80:60
B defeats D 90:10
A defeats B 60:40

eliminate 60:40

D defeats A 80:60
B defeats D 90:10

B wins
______________________________________________________________________

A requires 2:1 majority; N is the default option
4 cAbN
1 cNAb
3 bcNA
3 AbcN

N defeats A 8:7
c defeats N 11:0
b defeats N 10:1
A defeats b 8:3
c defeats A 8:3
b defeats c 6:5

eliminate 6:5

N defeats A 8:7
c defeats N 11:0
b defeats N 10:1
A defeats b 8:3
c defeats A 8:3

c wins
______________________________________________________________________

Z is the default option
40 A
25 B
35 ZBA

Z defeats B 35:25
B defeats A 60:40
A defeats Z 40:35

eliminate 40:35

Z defeats B 35:25
B defeats A 60:40

Z wins
______________________________________________________________________

Z is the default option
40 AZB
25 B
35 ZBA

Z defeats B 75:25
B defeats A 60:40
A defeats Z 40:35

eliminate 40:35

Z defeats B 75:25
B defeats A 60:40

Z wins
______________________________________________________________________

A requires 3:1 majority; F is the default option
70 ABF
30 BAF
10 AFB

A defeats F 110:0
B defeats F 100:10
A defeats B 80:30

A wins
______________________________________________________________________

D is the default option
25 DAB
30 BDA
35 ABD

D defeats A 55:35
B defeats D 65:25
A defeats B 60:30

eliminate 60:30

D defeats A 55:35
B defeats D 65:25

B wins
______________________________________________________________________

A requires 3:1 majority; D is the default option
20 BDA
10 DAB
80 ABD

D defeats A 90:80
B defeats D 100:10
A defeats B 90:20

eliminate 90:20

D defeats A 90:80
B defeats D 100:10

B wins
______________________________________________________________________


FYI,

-- 
Raul



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