Currently, I'm considering what I'm thinking of as Anthony Town's
proposal. By this, I mean:
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quorum is number of submitted votes
supermajority multiplies vote counts for default option when comparing
with supermajority vote counts.
A defeat by the default option is never the weakest defeat.
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Looking at the past examples of supermajority problems, I'm
fairly happy with how this system treats those examples.
Here's a list of the tests I considered:
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A needs 2:1, B simple majority, D default option.
3 ABD
1 BDA
1 DAB
An informal Nov 17 proposal defaulted this election
tie between B and D [which is reasonable]
A needs 2:1, B simple majority, D default option.
60 A B D
30 B A D
10 D B A
An informal Nov 17 proposal resulted in B winning instead of A.
A wins
S and T both need 2:1, D is default
60 S T D
50 T D S
An informal Nov 17 proposal had D win instead of T.
T wins
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A needs 2:1, B 1:1, D default
60 A B D
30 B D A
10 D B A
B should win.
B wins
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A has 2:1 supermajority, N is default
4 cAbN
1 cNAb
3 bcNa
3 AbcN
[c should win]
c wins
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Z is default
40 A
25 B
35 Z B A
A should not win.
Z wins
Z is default
40 A Z B
25 B
35 Z B A
A should not win.
Z wins
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A 3:1, B 1:1, F default
70 ABF
30 BAF
10 AFB
A should win (one draft had B winning)
A wins
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Quorum of n, no supermajorities:
25 D A B
30 B D A
35 A B D
A is CpSSD winner, the majority prefers B over the default option.
[In the proposal being discussed, these votes didn't meet quorum,
and D won.]
B wins [reasonable since most people do not approve of A]
D wins if quorum isn't met
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A requires 2:1, B 1:1, D default
60 A
40 B D A
A should win [in one proposal, D wins]
A wins
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A 3:1, B 1:1, D default
20 B D A
10 D A B
80 A B D
A should not win [one supermajority proposal had A winning]
B wins
FYI,
--
Raul
