= - 5. In a recent strategy meeting, the Chief Operating Officer (COO) had asked you to report on the best way to respond to your main competitor's production decisions. You modeled the industry as a Cournot duopoly and calculated profit-maximizing production levels for your firm, depending on what we learn about the competitor's output. The market price P depends on the quantity sold by your company (9₁), and the quantity sold by your competitor (92) as follows: P 125 0.25q₁ - 0.2592. Costs per unit depend on the production level: they are MC₁ = q₁ for us, and similarly MC₂ 92 for our competitor. Impressed with your work on production strategy, the CO0 looks at your musingly. "You seem to have a good grasp of this. Is it somehow possible to predict the price?" "Actually, yes," you say. "I can use game theory to do that." It doesn't take you long to work out the Nash equilibrium quantites, and an hour later you e-mail your price prediction to the COO. The equilibrium price is: = o $25 o Approximately $89 o Approximately $109 $125 O

Principles of Economics 2e
2nd Edition
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:Steven A. Greenlaw; David Shapiro
Chapter10: Monopolistic Competition And Oligopoly
Section: Chapter Questions
Problem 3SCQ: Consider the curve in the figure below, which shows the market demand. marginal cost, and marginal...
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5. In a recent strategy meeting, the Chief Operating Officer (COO) had asked you to
report on the best way to respond to your main competitor's production decisions.
You modeled the industry as a Cournot duopoly and calculated profit-maximizing
production levels for your firm, depending on what we learn about the competitor's
output. The market price P depends on the quantity sold by your company (9₁), and
the quantity sold by your competitor (92) as follows: P = 125 0.25q₁ - 0.2592.
Costs per unit depend on the production level: they are MC₁ =q₁ for us, and
similarly MC₂ 92 for our competitor. Impressed with your work on production
strategy, the COO looks at your musingly. "You seem to have a good grasp of this. Is
it somehow possible to predict the price?" "Actually, yes," you say. "I can use game
theory to do that." It doesn't take you long to work out the Nash equilibrium
quantites, and an hour later you e-mail your price prediction to the COO. The
equilibrium price is:
O
$25
o Approximately $89
o Approximately $109
$125
O
Transcribed Image Text:5. In a recent strategy meeting, the Chief Operating Officer (COO) had asked you to report on the best way to respond to your main competitor's production decisions. You modeled the industry as a Cournot duopoly and calculated profit-maximizing production levels for your firm, depending on what we learn about the competitor's output. The market price P depends on the quantity sold by your company (9₁), and the quantity sold by your competitor (92) as follows: P = 125 0.25q₁ - 0.2592. Costs per unit depend on the production level: they are MC₁ =q₁ for us, and similarly MC₂ 92 for our competitor. Impressed with your work on production strategy, the COO looks at your musingly. "You seem to have a good grasp of this. Is it somehow possible to predict the price?" "Actually, yes," you say. "I can use game theory to do that." It doesn't take you long to work out the Nash equilibrium quantites, and an hour later you e-mail your price prediction to the COO. The equilibrium price is: O $25 o Approximately $89 o Approximately $109 $125 O
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