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Two firms produce differentiated products. Let P1 and P2 be the prices firm 1 and firm 2 charge
and Q1 and Q2 be the demands for firm 1s and firm 2s products, respectively. They satisfy
Q1 = 7 3P1 + P2, and Q2=73P2+P1.
The total cost of production is C1 = Q1 for firm 1, and C2 = Q2 for firm 2. These two firms set their
prices simultaneously (Bertrand Competition). Identify whether these two goods are substitutes or
complements. Find the prices of these two firms in a Bertrand equilibrium.

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Two firms produce differentiated products Let P1 and P2 be .pdf

  • 1. Two firms produce differentiated products. Let P1 and P2 be the prices firm 1 and firm 2 charge and Q1 and Q2 be the demands for firm 1s and firm 2s products, respectively. They satisfy Q1 = 7 3P1 + P2, and Q2=73P2+P1. The total cost of production is C1 = Q1 for firm 1, and C2 = Q2 for firm 2. These two firms set their prices simultaneously (Bertrand Competition). Identify whether these two goods are substitutes or complements. Find the prices of these two firms in a Bertrand equilibrium.