Forest,
You wrote, setting up your attack on IRV:
Suppose that the voters are distributed uniformly on a disc with center C, and
that they are voting to
choose from among several locations for a community center.
(a) That is quite a big suppose, and (b) I agree that IRV would not be among
the
Suppose that the voters are distributed uniformly on a disc with center C, and
that they are voting to
choose from among several locations for a community center.
Then no matter how many locations on the ballot, if the voters rank them from
nearest to furthest, the
location nearest to C will