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3. Consider the following extensive form game and only pure strategies. 1,1 -1,0 b 0,-2 1.2 2.1 0,-1 1.1 b 2.2 0,3 0,4 (a) How

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3. Consider the following extensive form game and only pure strategies. 1,1 -1,0 b 0,-2 1.2 2.1 0,-1 1.1 b 2.2 0,3 0,4 (a) How many subgames are there? (2 marks) (b) Find all the subgame perfect equilibria in the game. (2 marks) (c) Write down a normal form game for this extensive form game. (6 marks) (d) Find a Nash equilibrium that is not a subgame perfect equilibrium and that has a different payoff from any subgame perfect equilibrium. (2 marks)

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