[EM] Greatest-Mutual -Approval-Top (GMAT)

[C.Benham]

Mike,

Isn't it possible that that there could be more than one "mutual 
approval set" that meets the condition you specify?

And if yes, what then?  Just elect the most top-rated candidate in any 
of them, or the most top-rated candidate in the largest one?

Chris Benham


Mike Ossipoff wrote  (16 Dec 2011):

Greatest-Mutual-Approval-Top (GMAT):

(like MMT except that it requires only greatest mutual approval
instead of majority mutual approval)

A mutual approval set is a set of candidates all of whom are rated
above bottom by each member of the same majority of the voters--where
that set includes, for each ballot, at least one of that ballot's
top-rated candidates.

If there is a mutual approval set all of whose members are rated above
bottom by more voters than rate anyone else top, then the winner is the
most top-rated member of that set.

Otherwise the winner is the most top-rated candidate.

[end of GMAT definition]

GMAT meets FBC, avoids the ABE problem, provides majority rule protection,
and meets Mono-Add-Plump.

Methods that substitute something else for majority often seem to
add a little longer wording, or add a little wording complexity.

Therefore, I consider MMT to be the best public proposal. But GMAT is
my 2nd choice for best public proposal.

Mike Ossipoff