Earlier quoted context omitted.
You are stating the efficiency gap incorrectly in the single district case. There can never be one, because the seat goes to the party with more votes (the party with less votes should have 0 seats, no efficiency gap). The simplest example you can work is with 2 districts.
The efficiency gap, as described, is the number of "wasted" votes for one party, minus the number of wasted votes for the other party, summed over all districts and divided by the total voting population. So fundamentally it's just a normalized version of the wasted votes metric. Wasted votes is the thing that concerns me as a metric, and it has the discontinuity noted. Notably, if you have a circular uniformly popul…
I think it's actually literally impossible to use a straight line there for partisan gerrymanding, so it isn't a real useful scenario.