Please refer to the following question:

Q1 (5 marks). Consider the following static game between player 1 and player 2. Player 2 Left Center Right High 5, 5 3, 8 2, 6 Player 1 Middle 3, 4 5, 3 5, 7 Low 9, 6 6. 5 4, 5 a (2 mark). What is (are) the pure-strategy Nash equilibrium(ia) in this game? How does dominant strategy play a role in deriving the equilibrium? b (3 marks). Suppose the game is played sequentially, with player 1 moving first. Draw an extensive form game and find subgame perfect Nash Equilibrium. Does it lead to the same equilibrium you found in the static game