onsider duopoly model with firm 1 and firm 2. Firms have constant marginal costs, c_1 = c_2 = 10. Demand functions are given by equations: Q_1= (7*100) - 2*P_1 + P_2 Q_2 = (7*100) + P_1 - 2*P_ 2 Note that * signifies the multiplication sign. Firms play a simultaneous moves game where each store chooses its own price. Find each firms’ best response functions. Draw the best response functions of each firm. Label the graph properly. Is this a game of strategic substitutes or strategic complements? Why? Find the pure-strategy Nash equilibrium of the game. Find the profits each firm receives.
onsider duopoly model with firm 1 and firm 2. Firms have constant marginal costs, c_1 = c_2 = 10. Demand functions are given by equations: Q_1= (7*100) - 2*P_1 + P_2 Q_2 = (7*100) + P_1 - 2*P_ 2 Note that * signifies the multiplication sign. Firms play a simultaneous moves game where each store chooses its own price. Find each firms’ best response functions. Draw the best response functions of each firm. Label the graph properly. Is this a game of strategic substitutes or strategic complements? Why? Find the pure-strategy Nash equilibrium of the game. Find the profits each firm receives.
Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter12: Price And Output Determination: Oligopoly
Section: Chapter Questions
Problem 2E
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Consider duopoly model with firm 1 and firm 2. Firms have constant marginal costs, c_1 = c_2 = 10. Demand functions are given by equations:
Q_1= (7*100) - 2*P_1 + P_2
Q_2 = (7*100) + P_1 - 2*P_ 2
Note that * signifies the multiplication sign. Firms play a simultaneous moves game where each store chooses its own price.
Find each firms’ best response functions. Draw the best response functions of each firm. Label the graph properly. Is this a game of strategic substitutes or strategic complements? Why? Find the pure-strategy Nash equilibrium of the game. Find the profits each firm receives.
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