Cournot Problem. Consider a Cournot oligopoly with two identical firms. These firms cach have constant marginal...
Guided Notes Ant Jble #3: Cournot oligopoly (12 pts) consider a Cournot oligopoly in which the market demand curve is Q-60- P. There are 2 firms in this oligopoly, so this means Q-qi + q2. The firms in this market are not identical: Firm l's cost function is ei(q)= 2q , while Firm 2's cost function is cz(q:)-33q2. a) Write downa profit function for each firm. эрп b) Using your answer to a), find a best-response function for each firm....
Consider a Cournot competition with two firms, A and B. The marginal costs of each firm is MCA = MCB = 40. The inverse demand function is P = 130 - Q. Find the Nash equilibrium quantities for each firm and the market price.
Cournot Oligopoly and Number of Firms In a Cournot oligopoly, each firm assumes that its rivals do not change their output based on the output that it produces. Ilustration: A Cournot oligopoly has two firms, YandZ. Yobservesthe market demand curve and the number of units that Z produces. It assumes that Z does notchange its output regardless of the number of units that it (Y) produces, so chooses a production level that maximizes its profits. The general effects of a...
1. Consider a three firm (n = 3) Cournot oligopoly. The market inverse demand function is p (Q) = 24 Q. Firm 1 has constant average and marginal costs of $12 per unit, while firms 2 and 3 have constant average and marginal costs of $15 per unit. a)Verify that the following are Nash equilibrium quantities for this market: q1 = 9 / 2 and q2 = q3 = 3 / 2 . b)How much profit does each firm earn...
Problem 1. Cournot Competition with Two Firms Suppose there are two identical firms engaged in quantity competition (Cournot competition). The demand is P 1 - Qwhere Q qi 2. Assume that firm's i total cost of production is TC(q) = . Compute the Cournot equilibrium (i.e., quantities, price, and profits)
Problem 1. Cournot Competition with Two Firms Suppose there are two identical firms engaged in quantity competition (Cournot competition). The demand is P=1-Q where Q =91 +92. Assume that firm's i total cost of production is TC(qi) Compute the Cournot equilibrium (i.e., quantities, price, and profits).
Suppose Cournot duopolist firms operate with each having a cost of 30qi (i = 1,2) so that each firm's marginal cost is 30. The inverse market demand curve is P = 120 - Q where Q = q1 + q2. Suppose there were no barriers to entry and firms continued to enter so long as there were positive economic profits. At the Nash-Cournot equilibrium, the total output, Q, is Select one: a. 30. b. 45. c. 60. d. 90.
8. Consider a market where two firms are Cournot competitors with constant average and marginal costs. Due to political favoritism, the government decides to levy a per-unit tax on one of the firms, but not the other. Which of the following do you NOT expect to happen in this market? (A) The market share of the taxed firm decreases. (B) The market share of the favored (non-taxed) firm increases. (C) The equilibrium price increases. (D) The equilibrium quantity sold increases.
3. Suppose the two firms cannot collude and instead compete in the Cournot Model in the market described in question 1 (market demand is still Q = 18 – P) with the same cost (C(Q)=Q2). a. Set up firm 1's profit maximization. b. Solve for firm 1's best response function. C. Solve for firm 1's quantity, firm 2's quantity, the equilibrium market quantity, and price. Show your work. d. Is this a Nash equilibrium? e. Do consumers prefer the Cournot...
Consider a homogeneous-product Cournot oligopoly with four firms. Suppose that the inverse demand function is P(Q) = 64 – Q. Suppose that firms incur a constant marginal cost c = 4. Characterize the equilibrium of the game in which all firms simultaneously choose quantity. Suppose that firms 1 and 2 consider merging and that there are synergies leading to marginal costs cm < c. Characterize the new market equilibrium. At what level of cm are the two firms indifferent whether...