Csteimel,
Thanks for joining us here and I will try to answer some of your questions. First, boiling everything down to a mathmatical equation would work if only people were able to repeat something perfectly every time (watch the olympics to see it at one of it's highest forms). If we were that perfect there would be no olympics as the winner would be known in advance, and the same goes with air combat. Also the pure 1 versus 1 dogfight (now known as BFM or Basic Fighter Maneuvers) most likely won't happen in real combat. In reality if you anchor (get into a turning engagement with an adversary) you open a LARGE window of opportunity for his wingman to get an unobserved entry into your fight and nail you.
No one pilot or airplane is perfect, and as previously mentioned some will get more out of training than others, and some will do better in combat as well. The one able to do the best uses his weapon (the aircraft and it's armaments) better than his adversary (who oh by the way is trying to do the same thing). Yes, there are break turns, rolling scissors, ditches, jinks, reversals, rolls, all done with the power in a variety of settings. Each is a tool that the pilot uses to gain a position of advantage from which he will employ his weapons. In the case you mention above (F-86 vice Mig-15) the Saber drivers didn't get to train against the Migs, only do combat against them. They also didn't have the maneuvering energy diagrams either (I don't think they were even invented then) to predict what an aircraft can do. Your equation doesn't work unless a pilot has not only perfect knowledge and experience with his aircraft, but the same over his adversaries. Last time I checked the Russians weren't giving out the gouge on their latest stuff.
In reality what happens is training cycles (dog fighting, aka BFM, 2 versus 1, 2 versus X, 4 versus X, 8+ versus X, Red Flags) etc. to give a guy as much experience as possible before putting him into live combat. When I did Red Flag the mentality was if a guy could survive his first five combat sorties he would probably go the distance, and that is what Flag was designed for. Get him his first "five" experience in what is / was one of the finest training environments ever.
As a young guy I learned all I could about the Mig-29 (the most prolific threat aircraft I would likely face). I could quote the numbers in my sleep, spout it's strengths and weaknesses in a variety of arenas, ID all it's weapons, etc. Then, 9 years after my first Eagle sortie I got to fight them. Not suprisingly the stuff I learned was pretty darn accurate. I had many sorties against what was probably the best Mig-29 drivers in the world (Luftwaffe), and had I ever fought that aircraft for real I would have been very confident in my tactics and training.
The best thing a fighter pilot can do to prepare for combat is to train, and train against as many different aircraft as possible. When fighter aircraft become pilotless, then their maneuvers will be in the form of a drop down menu, executed as perfectly as a computer can, with the perfect timing of a computer, shooting weapons at the first possible nano-second and all you can do is hope your engineers did better than theirs.
Cheers,
Biff