Bloom and other tools which use generative AI can sometimes get confused and make errors when trying to find the Nash equilibria of a game. Explain the error made by the student in the following transcript Student: Solve the following game for pure strategy Nash equilibria. A B X 2,2 1,2 2,1 1,1 Y Bloom: Thank you for providing the specifics. Remember that a Nash equilibrium occurs when no player can unilaterally improve their payoff by changing their strategy, given the other player's strategy. Let's start with identifying best responses for each player. Can you tell me what Player 1's best response is if Player 2 plays Strategy A? What about if Player 2 plays Strategy B? Student: If player 2 plays A, the best response is X. If player 2 plays B, the best response is X. Similarly for player 2, if player 1 plays X or Y the best response is A. So the unique Nash equilibrium is (X,A). Bloom: That's absolutely correct! Well done! To summarise, the Nash equilibrium in this game is indeed at (Player 1: Strategy X, Player 2: Strategy A). This is a situation where neither player can improve their payoff by unilaterally changing their strategy, given the other player's strategy