There's lots of ways to set it up, but a rope is where you get the bandit to stall out beneath you, and then you drop down and kill him. You've probably done this without knowing its name.
The basic idea is to give the impression that your pursuer has enough energy to follow you into a climb and shoot you. Sometimes he will have enough energy to get close, but the extremely low speed at the end of a vertical climb should leave him unable to aim. At the top of your own climb, nose high, you do a quick 180 about 1000 yards above the bandit, sometimes back off the throttle or use some flaps (it all depends on the airfcraft and situation), and shoot him dead while he's floundering.
I'm not clear on what a fake rope is.