Thanks to one and all (in
both private and public communications) for the creative small group
ideas,
Jobst asked about repeated approval polling
ideas that might converge.
Here's an approach that I would like
to see explored more:
Any method (like DFC) for constructing
a lottery from ballots with approval cutoffs could be iterated as
follows.
The voter indicated approval cutoffs could
be considered as nominal or tentative cutoffs.
After the lottery is constructed, new
cutoffs could be determined from the lottery probabilities.
At each successive stage we would base the
new lottery calculation on a weighted average of all the old cutoffs. In
other words, the cutoff on each ballot is adjusted slightly towards the
most recent lottery expected value before calculating the new lottery
probabilities.
If the cutoff values converge, then the
lotteries converge to the winning lottery.
If folks are leery of lotteries, then one
last approval poll based on the limiting lottery probabilities would determine
the winner.
Forest
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