From what I understand, Germany and the Soviet Union used their air "aces" differently than say, Americans. After surviving 25 missions, an American ace would be pulled out of the skies and sent home to train new pilots, meaning that their scores typically "topped" out in the 35-40 range.
On the other hand, the Germans and Soviets kept their aces in action until the end of the war. As a result, Germany's Erich Hartmann tallied 352 kills, and the Soviets' Alexander Pokryshkin scored 59 kills.
My understanding is that they could do this was because each flew with large accompanying "protective" screens. That is, they had others protecting them while they fired away against "random" enemy pilots that showed up on their windscreens. In naval terms, it would be as if "battleships" traveled with large protective screens of "destroyers," and their job was to shoot enemy "destroyers" (I'm using ships to describe the pilots' relative ability levels).
Were documented instances of opposing aces fighting each other rather than "small fry"? Better yet, were there any instances of an ace setting out to "get" an enemy ace and succeeding? (A land example would be when Soviet sniper Valery Zaitsev supposedly hunted his German counterpart, Erwin Koenig. This story is disputed, but illustrative of my question.)