Forest,
Why are your suggested grade options labelled A, C, F and not A, C, E?
You can make the same wonderful argument that 2-slot ballots can work
just as well as 3-slot ballots.
And why limit the voters to one coin-toss each per candidate? A voter
who wishes to give candidate x a grade of B on the scale A-B-C-D-E can
first toss a coin to decide between A and C on an imaginary
A-C-E ballot and if that comes up A then approve x on the actual
2-slot ballot but if it comes up C then toss the coin again to decide
between approving x or not.
Chris Benham
Forest Simmons wrote (30 Dec 2011):
Suppose the ballot limits grade options to A, C, and F, but a sizeable
faction would like to award a
grade of B to a particular candidate. If half of them voted a grade of
A and the other half a grde of C, the
resulting grade points would be the same.
So in elections with large electorates there is no need to have grade
ballots with all five grade options.
Those who want to award a B grade can flip a coin to decide between A
and C. Those who would like to
award a grade of D can decide between C and F with a coin toss. The
grade averages will come out the
same as if the higher resolution grade ballots were used.
If two or more candidates are statistically tied, the tied candidate
with the greatest number of A's and
C's should be elected.
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