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2. Four firms (A, B, C, and D) play a pricing game (i.e. Bertrand). Each firm (1) may choose any price P, (0,) with the

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2. Four firms (A, B, C, and D) play a pricing game (i.e. Bertrand). Each firm (1) may choose any price P, (0,) with the goal of maximizing its own profit. (Firms do not care directly about their own quantity or others' profits.) Firms A and B have MC = 10, while firms and D have MC = 20. The firms serve a market with the demand curve Q = 100 - P. All firms produce exactly the same product, so consumers purchase only from the firm with the lowest price. If multiple firms have the same low price, consumers divide their prices evenly among the low-priced firms. Assume the firms choose price simultaneously. Now assume firm A chooses price first. Firm B observes this choice and then chooses its own price second. Firm C chooses price third, and firm D chooses price last. b. Ag the many in this sequential move prelimine ahrium combination as and argu tht no hirm haman c. Now assume firm B has MC = 15, and the order remains the same. Again, there are many equilibria in this sequential-move pricing game. Provide one equilibrium combination of prices, and argue that no firm has a unilateral incentive to deviate from these prices

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