2) Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ where a, b>0. a. Suppose the market is served by two firms acting in a cartel. Calculate the profit- maximizing: i. Price ii. iii. Quantity Profit
2) Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a - bQ where a, b>0. a. Suppose the market is served by two firms acting in a cartel. Calculate the profit- maximizing: i. Price ii. iii. Quantity Profit
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![2) Assume firms' marginal and average costs are constant and equal to c and that
inverse market demand is given by P = a bQ where a, b>0.
a. Suppose the market is served by two firms acting in a cartel. Calculate the profit-
maximizing:
i. Price
ii.
iii. Profit
b. Suppose now the market is served by 2 firms (one leader, and one follower) that
choose quantities for their identical products. Calculate:
i. The Nash equilibrium quantities for the Stackelberg duopolists
ii.
Quantity
iv. Firm profit
Market output
Market price
c. Suppose now the market is served by 2 firms that choose quantities for their
identical products simultaneously. Calculate:
iv.
i. The Nash equilibrium prices for Cournot duopolists
ii.
Firm output
Market output
Firm profit
ii.
iii.
iv.
d. Suppose now the market is served by k firms that choose quantities for their
identical products simultaneously. Calculate:
i. The Nash equilibrium quantities for the Cournot firms as functions of k.
Market output and price as a function of k
Firm profit as a function of k
Using your answers in i, ii, iii and iv, describe what happen to firm output,
market output, market price and firm profit as the number of firms
increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05c063a9-f706-42db-ab77-3be076790627%2Fca65875b-121c-4f89-9109-7117b4b39828%2F8az8ka4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) Assume firms' marginal and average costs are constant and equal to c and that
inverse market demand is given by P = a bQ where a, b>0.
a. Suppose the market is served by two firms acting in a cartel. Calculate the profit-
maximizing:
i. Price
ii.
iii. Profit
b. Suppose now the market is served by 2 firms (one leader, and one follower) that
choose quantities for their identical products. Calculate:
i. The Nash equilibrium quantities for the Stackelberg duopolists
ii.
Quantity
iv. Firm profit
Market output
Market price
c. Suppose now the market is served by 2 firms that choose quantities for their
identical products simultaneously. Calculate:
iv.
i. The Nash equilibrium prices for Cournot duopolists
ii.
Firm output
Market output
Firm profit
ii.
iii.
iv.
d. Suppose now the market is served by k firms that choose quantities for their
identical products simultaneously. Calculate:
i. The Nash equilibrium quantities for the Cournot firms as functions of k.
Market output and price as a function of k
Firm profit as a function of k
Using your answers in i, ii, iii and iv, describe what happen to firm output,
market output, market price and firm profit as the number of firms
increases.
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