Game theory Economics

Question 3 Consider the game depicted in the table below. Player 2 Left Middle Right 4, 7. 4, 6 8, 9 Player 1 Up 5, 4 3, 7 6, 6 Middle Down 7, 6 2, 3 9, 2 a) (8 points) Suppose that the stage game is repeated infinitely many times. Define a grim trigger strategy for each player. b) (17 points) Find the minimum o value that can support the strategy you wrote in part a as a subgame perfect Nash equilibrium. Defend all your answers carefully and show every step of your calculations