Warren,
--aha. So by "median candidate" you do not mean what I thought you meant
(namely, in an N-canddt election, the top-quality floor(N/2) are above median)
but rather median in the prior distribution of probabilities of winning.
But wait, that would be even more insane, since the policy of
voting only for the candidates with above-median prior election
probability, would be a policy that would completely disregard the
quality of the candidates.
My understanding of Weinstein's approval strategy is this:
"Approve your favourite (or equal favourites). If the remaining (so far
unapproved) candidates are on more
than one of your preference-levels, then approve the candidate/s on your
next-from-the-top preference-level if
you consider that the probability that one of the candidates you prefer
less than this/these candidate/s will win
is greater than the probability that one of the candidates you prefer
more will win. And so on."
This strategy seems sane to me, and probably right for voters who only
have a ranking.
Chris Benham
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