Question

Question A.1 (Word Limit: 100 words) Consider the following game in normal form: Player 2 L R Player 1 U 1 , 2 1, 1 D 0, 0 2, 1 (i) If the game is played with simultaneous moves, identify all the pure strategy Nash equilibria (if any). (ii) If the game is played with simultaneous moves, identify all the mixed strategy Nash equi- libria (if any). (iii) If the game is played with sequential moves, where player 1 moves first, identify all the subgame perfect Nash equilibria (if any). (iv) If the game is played with sequential moves, where player 2 moves first, identify all the subgame perfect Nash equilibria (if any) which involve empty threats. [10 marks]