[EM] Method Y

[Forest Simmons]

For now this is is a manual Plurality runoff method:

At each runoff stage let Y be the candidate with the fewest votes.

Then by majority decision either eliminate Y or else elect Y by eliminating
all other candidates.

That's it.

Note that majority decision by rational informed voters will never
eliminate Y when it is the sincere CW of the remaining candidates.

Very simple, but monotonic, and burial resistant ... not to mention
strongly Condorcet efficient.

In fact, it could accurately be called Sincere Benham (pending permission
from Chris) because if there is a sincere CW at any stage, optimal strategy
requires informed rational voters to elect it ... while if only Y is
eliminated at each stage, the ordinary Plurality runoff candidate wins.

Note that since the sincere CW wins whenever there is one, there can be no
burial of a sincere CW ... which is the only kind of burial that concerns
us.

The main drawback is the potentially large number of manual votes required.

Is there a DSV version that gets around this problem?

Quickly finding the Smith set by some elegant manual method would largely
solve the problem for many deliberative assemblies including parliaments,
senates, summits, etc.

A Coombs version of this method is equally burial resistant, monotone,
Condorcet efficient, etc, while more decisive... less likely to tie for Y.

[Bottom two sequential pairwise elimination with takedown and majority
pivot-save should also work except perhaps for the monotonicity.]

fws
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