when I played ladder I would take my turns every 1-3 days..
your idea is that people that don't play warlight everyday don't deserve a place on the ladder?
It'd be great if we could set restrictions based on average (rather than max) turn speed for games. Right now, we're saying we expect people to take 3 days per turn when in reality we're probably trying to accommodate people who'll need 3 days to take a turn maybe once or twice a game. If instead, we had an 18-hour restriction on
average turn speed (the moment your average turn speed exceeds 18 hours, you're booted, for example). That should be mathematically equivalent to banking times-
If you let N be the # of elapsed turns and S be the maximum average turn speed- and let the Nth turn's speed be x(N), then
average turn speed <= S
(x(N) + (x(N-1) + x(N-2) + ... + x(2) + x(1))/N <= S
(x(N) + (x(N-1) + x(N-2) + ... + x(2) + x(1)) <= NS
x(N) <= NS - ((x(N-1) + x(N-2) + ... + x(2) + x(1))
So the time you have to take your Nth turn is equal to the total time you've accumulated so far (N * S) minus all of it you've spent. You're just basically getting S hours to take each turn (you'll always have at least S hours, since the moment you exceed the average you get booted) and banking extra time.
Looking at the 1 day + time banked proposal along those lines, that would be pretty workable given the current ladder even for you since your average turn speed is 18 hours. We can look at the ladder and either go by the 95th percentile 95th percentile time (the time that, for 95% of people currently on the ladder, is long enough to complete 95% of turns) or just go with an average that people agree on.
3-day boot just isn't a very workable model, imho, and it doesn't really take advantage of how well we can handle things with banked time.