Problem 3. Given is the following game in normal form representation: Woman TV Cinema Man TV 4, 0, 4 Cinema 1, 6 6, 0 a) Is there a Nash equilibrium (NE) in pure strategies? If so, determine the NE. If not, explain why such an equilibrium does not exit. b) Determine the NE in mixed strategies. Show Transcribed Text Assume the game as in Problem 3 but now the man decides first whether to watch TV or to go to the cinema. The woman can observe the man's decision and decides then whether to watch TV or go to the cinema. c) What is the extensive form of this game? d) Determine the strategy sets for both players. e) Determine all sequentially rational equilibria