[EM] Wording correction

[MIKE OSSIPOFF]

I said:

Find, somehow, the probability of all the possible n-member ties
& near-ties, before your vote is cast (last). For each of the 2^N ways that
you could vote, a sum can be written, each of whose terms multiplies
the probability of a tie or near-tie by the difference in the
utility of what would happen if you didn't change that tie or near-tie
and what would happen if you did. Find the way of voting that
maximizes that sum.

I meant:

Using Hoffman, or individual candidates' vote total probability
distributions, etc, find the probabilities of all of the possible
n-member ties & n-member near-ties, before your ballot (the last ballot)
is cast. For each of the 2^N ways of voting, a sum can be written,
with a term for each possible n-member tie or n-member near-tie,
with the probability of that tie or near-tie multiplied by the
utility difference between the outcome if the tie or near-tie occurs
and you vote and your ballot would change that tie or near-tie, and if
you don't vote.

Of course the utility of a tie in the final count is the average of the 
utilities
of the candidates in the tie, since they're all equally likely to
be chosen by the random tiebreaker.

Find the way of voting that maximizes that sum.

[end of definition]

That's what I mean by Weber's method. Of course it has a very
simple implementation when the many-voter simplifying assumptions are
permissible.

Mike Ossipoff



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