Warren Smith wrote:
6=3! possible rank-order votes. However, there are 8=2^3 possible
approval-style votes. Since 8>6, we see the approval voting ballots
provided more, not less,
info, than the preferential ballot.
Now you may say "but two of those approval ballot types, namely
all-yes and all-no, were silly." In that case there are only 6 kinds
of non-silly approval ballot (6=8-2).
Then still, approval provided SAME info as preferential ballot. Not
correct to say
"it is clear that a preferential ballot has more information than an
approval ballot."
--let me refute some errors/myths here. In a 3-candidate election,
there are
Only works if there are a small number of candidates. Factorial grows
faster than exponential.
2^10 = 1,024
10! = 3,628,800
2^20 = 1,048,576
20! = 2,432,902,008,176,640,000
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