Let's say two players are playing a game to maximize an objective $O$.
The first player learns the best-response function of the second player (how second player move will affect the objective), and the second player plays by observing the best-response function from the first player.
Is there a name for these kinds of strategy? Thank you very much!
Best Answer
If you are describing a game where the first player makes a move by correctly anticipating what the second player will respond to that move, then you can call such reasoning backward induction.