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Question 4 (11} marks} a. How many subgames are there in the game above? [ 1 mark] b. Solve for all sub game perfect Nash equilibria. [4 marks] c. Consider the two person parlour game which starts with n counters on the table in front of the two players. Players 1 and 2 move sequentially: with player 1 moving rst. When it is his turn to move= a player must move 1 or 2 counters from the table. The game ends when all the counters are removed. 1Whoever removes the last counter wins. Suppose n=5. Solve the game by backward induction. Is there a winning strategy? [5 marks]