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[GET ANSWER] EXERCISE 67.1 (Bertrand's duopoly game with fixed costs) Consider Bertrand's game under a variant of the assumptions of Section 3.2.2 in which the cost function of each firm i is given by Ci(qi) = f cqi for qi > 0, and Ci(0) = 0, where f is positive and less than the maximum of (p - c)(α - p) with respect to p. Denote by p̅ the price p that satisfies (p - c)(α - p) = f and is less than the maximizer of (p - c)(α - p) (see Figure 67.1). Show that if firm 1 gets all the demand when
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