Two firms with differentiated products are competing in price. Firm A and B face the following demand curves: Q_A = 70 − 2P_A + P_B and Q_B = 120 − 2P_B + P_A respectively. Assume production is costless. a. Give equations for and graph each firm’s reaction curve. b. If both firms set their prices at the same time, what is the Nash equilibrium price, quantity, and profit for each firm? c. Suppose A sets its price first and then B responds. What price and quantity does each firm set now? Is it advantageous to move first? d. Compare the profits from part b and c. Which firm benefits more from the sequential price choosing?
Two firms with differentiated products are competing in price. Firm A and B face the following demand curves: Q_A = 70 − 2P_A + P_B and Q_B = 120 − 2P_B + P_A respectively. Assume production is costless. a. Give equations for and graph each firm’s reaction curve. b. If both firms set their prices at the same time, what is the Nash equilibrium price, quantity, and profit for each firm? c. Suppose A sets its price first and then B responds. What price and quantity does each firm set now? Is it advantageous to move first? d. Compare the profits from part b and c. Which firm benefits more from the sequential price choosing?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
Two firms with differentiated products are competing in
following demand
respectively. Assume production is costless.
a. Give equations for and graph each firm’s reaction curve.
b. If both firms set their prices at the same time, what is the Nash equilibrium
price, quantity, and profit for each firm?
c. Suppose A sets its price first and then B responds. What price and quantity
does each firm set now? Is it advantageous to move first?
d. Compare the profits from part b and c. Which firm benefits more from the
sequential price choosing?
(Please do b-d, thanks :))
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