Let's say, we have sequential finite game with 2 players. The first player is rational and given the other player is also rational, there is a Nash equilibrium. Now let's say that only the first player knows the Nash equilibrium.
Is it rational for the first player to play the nash equilibrium given that his oponent may not play the nash equilibrium?
I want to train 2 agents in tic tac toe against each other with reinforcement learning. I would like to know, if the agents will be able to play well against arbitrary oponent after we train them to play against each other, and thus to play one of NE.