[EM] D2MAC can be much more efficient than Range Voting (corrected)
Jobst Heitzig
heitzig-j at web.de
Thu Mar 8 00:50:55 PST 2007
Dear Scott,
you wrote:
> That seems really lame. Such a method would certainly fail to elect A
> even if there was unanimous consent!
What do you mean by that? Unanimous consent about A like in
100%-x: A 100, C 90, B 0
x: B 100, C 90, A 0
with very small x?
In that case, only somewhat more than x of the A-voters need to bullet-vote
for A to have almost 100% winning probability. E.g.:
100%-3x: favourite A, also approved C
2x: favourite A
x: favourite B, also approved C
Resulting winning probabilities:
A: (100%-3x)*(100%-x) + 2x ~ 100%-2x
B: x*3x ~ 0
C: (100%-3x)*x + x*(100%-3x) ~ 2x
So in this case it elects almost certainly the favourite of the broad
majority
and only with a very small probability the compromise option.
Jobst
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