depends how far up you came up to the other car/kart on braking. It all comes down to who will yield. if the car going up on the inside has reached far enough on the inside without locking it up or anything going into the turn, the car taking the desired line would have to allow for room...and vice versa. just cos you take up the inside, you cant run them off the track cos you are carrying too much speed. It all depends really on how you try to execute the move. Does that make sense?
My advice....best way to overtake someone that is too hard to pass, follow their line and at the braking point, "accidently" brake later (in a straight line) and nudge them. This will force them to go wide and you got a clear shot at the apex! HAHAHAHA
"Rubbin' is racing"