Like Young Grasshopper said, A&A favors the aggressive side, and Axis is always the aggressive side.
Like in chess, I believe A&A favors the side with a better brain.
But if two “infinitely good” players play chess, it always ends in a draw. If two infinitely good players play Axis and Allies, The Axis will win, unless the dice intervene.
Brains alone cannot fix the inherent game mechanics that favor Axis.
The aggressive player need luck with dice to succeed.
Yes, but so does the defender. Dice and luck does not mean Axis and Allies does not favor the Axis.