PROBLEM (1) Firms 1 and 2 have total cost functions TC₁(q) = q² and TC₂ (q) = ²/3 (with MC₁(q) = 2q and MC₂ (q) =) respectively. They are competing in quantities in a market with (inverse) demand p = 630 - 20. Determine the market price in each of the following market organization scenarios: (a) [C] Cournot-Nash equilibrium They are competing in Cournot competition. (b) [S] Stackelberg Equilibrium As in (a), but A is the leader and chooses the quantity first (and B chooses her quantity afterwards, observing A's choice). (c) [M] Collusion They collude as in a cartel, to maximize joint profits.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
icon
Related questions
Question

Please answer all parts and do not use ChatGPT or other AI tools. Please give me the solution and specific answers. Thanks!

PROBLEM (1) Firms 1 and 2 have total cost functions TC₁(q) = q² and TC₂ (q)
(with MC₁(q) = 2q
2q
=
¹) respectively. They are competing in quantities in a market with (inverse) demand p
3
and MC₂ (9)
630 - 2Q.
=
=
Determine the market price in each of the following market organization scenarios:
(a) [C] Cournot-Nash equilibrium They are competing in Cournot competition.
(b) [S] Stackelberg Equilibrium As in (a), but A is the leader and chooses the quantity first (and B chooses
her quantity afterwards, observing A's choice).
(c) [M] Collusion They collude as in a cartel, to maximize joint profits.
(d) [P] Perfect Competition Benchmark: They behave perfectly competitively, as price takers.
(e) Calculate the DWL (dead-weight loss, inefficiency) in the Stackelberg equilibrium in (b) (WARNING:
tedious calculations!)
(f) (MULTIPLE CHOICE QUESTION: NO calculation/explanation needed!) Which of the following
6 market arrangements below ...
(i) Firm 1 operates as a monopoly (Firm 2 doesn't exist at all)
(ii) Firm 1 operates as a perfectly competitive firm (as a price taker!) (Firm 2 doesn't exist at all)
(iii) Firm 2 operates as a monopoly (Firm 1 doesn't exist at all)
(iv) Firm 2 operates as a perfectly competitive firm (as a price taker!) (Firm 1 doesn't exist at all)
(v) Firm 1 and Firm 2 collude (Scenario (c) above)
(vi) Firm 1 and Firm 2 operate as perfectly competitive firms as price takers (Scenario (d) above)
maximizes TS?
maximizes PS ?
minimizes CS?
Transcribed Image Text:PROBLEM (1) Firms 1 and 2 have total cost functions TC₁(q) = q² and TC₂ (q) (with MC₁(q) = 2q 2q = ¹) respectively. They are competing in quantities in a market with (inverse) demand p 3 and MC₂ (9) 630 - 2Q. = = Determine the market price in each of the following market organization scenarios: (a) [C] Cournot-Nash equilibrium They are competing in Cournot competition. (b) [S] Stackelberg Equilibrium As in (a), but A is the leader and chooses the quantity first (and B chooses her quantity afterwards, observing A's choice). (c) [M] Collusion They collude as in a cartel, to maximize joint profits. (d) [P] Perfect Competition Benchmark: They behave perfectly competitively, as price takers. (e) Calculate the DWL (dead-weight loss, inefficiency) in the Stackelberg equilibrium in (b) (WARNING: tedious calculations!) (f) (MULTIPLE CHOICE QUESTION: NO calculation/explanation needed!) Which of the following 6 market arrangements below ... (i) Firm 1 operates as a monopoly (Firm 2 doesn't exist at all) (ii) Firm 1 operates as a perfectly competitive firm (as a price taker!) (Firm 2 doesn't exist at all) (iii) Firm 2 operates as a monopoly (Firm 1 doesn't exist at all) (iv) Firm 2 operates as a perfectly competitive firm (as a price taker!) (Firm 1 doesn't exist at all) (v) Firm 1 and Firm 2 collude (Scenario (c) above) (vi) Firm 1 and Firm 2 operate as perfectly competitive firms as price takers (Scenario (d) above) maximizes TS? maximizes PS ? minimizes CS?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Fundraising
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage
Managerial Economics: Applications, Strategies an…
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning