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I need a written explanation for the following questions. Pad 2:10 AM * 100% Econ 2201 Professor Greenberg HW #9 1) Imagine a one-shot, three-player, sequential game between two firms in an oligopoly market and a third firm which is considering joining the market. The first firm can choose to set a low, medium, or high price. The second firm observes the pricing decision of the first firm and has the same three strategies available for their price. Then, based on the price set by first two firms, the third firm decides to either enter and not enter this market. This game is represented by the game tree below Enter Dont Enter Dont Enter Dont Enter Dont Enter Dont Enter Dont Enter Dont Enter Dont Enter Dont 300 300 400 00 500 O 250 35o 350 400 600 0 200 40o 150 300 700 0 350 25o 350 600 400 0 300 300 200 375 375 0 200 50o -50 150 650 0 400 100 150 700 300 0 500 20o -50 650 150 0 200 200 -100 250 250 0 3 2 Medium 3 Ow 3 Medium 2 Medium 3 Low 3 Low 2 Medium 3 Low 3 a. Given first-mover advantage, what strategy should firm 1 choose to maximize profit? b. Based on the strategy selected by firm 1 in part a, what strategy should firm 2 choose to maximize profit? Based on the choices of firm 1 and 2, will firm 3 choose to enter this market or not? Could firm 1 and 2 increase profits by collusion/agreeing to each set the high price? c. d.

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