2) Consider a Cournot duopoly, where each firm has a marginal cost MC = 80, and the total market demand is given by Q= 400 - G)p. a) What are the best-response functions of each firm? b) What is the equilibrium output level for each firm? c) How does the total output level compare to the cartel (collusive) output level?

2) Consider a Cournot duopoly, where each firm has a marginal cost MC = 80, and the total market demand is given by Q= 400 - G)p. a) What are the best-response functions of each firm? b) What is the equilibrium output level for each firm? c) How does the total output level compare to the cartel (collusive) output level?

Survey Of Economics

10th Edition

ISBN:9781337111522

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter9: Monopolistic Competition And Oligoply

Section: Chapter Questions

Problem 11SQP

See similar textbooks

Similar questions

Consider a Cournot duopoly, where each firm has a marginal cost MC = 80, and the total market demand is given by Q= 400-(1/2)P a) What are the best-response functions of each firm?b) What is the equilibrium output level for each firm?(c) How does the total output level compare to the cartel (collusive) output level?
Consider an industry with 4 firms with the same total cost function TC(q) = 20q. The demand function is p= 260 − 2Q. (a) Solve for Cournot equilibrium: how much each firm produces in equilibrium? What is an equilibrium price and profits? (b) What will be the profit of each firm if all the firms join the cartel? (c) If one of the firms wants to deviate from the cartel agreement, what output should it set? Calculate the profit of the cheating firm.
Consider two price-setting oligopolies supplying consumers in a certain region of a country. Firm 1 employs many of the people living there and the local government subsidizes its operations. In all other respects, the firms are identical-they have the same constant marginal cost, MC = 4, and produce the same good. The demand function for Firm 1 is q1 = 600 - 50p1 - 20p2 and for Firm 2 is q2 = 600 - 50p2 - 20p1, where p1 is Firm 1's price and p2 is Firm 2's price. a. What are the Nash-Bertrand equilibrium prices and quantities without the subsidy? b. What are they if Firm 1 receives a per-unit subsidy of S = 1? Compare the two equilibria.
The managers of these firms realize that explicit agreements to collude are illegal.Each firm must decide on its own whether to produce the Cournot quantity or the cartel quantity.To aid in making the decision, the manager of Firm A constructs a payoff matrix like the realone below. Fill in each box with the (profit of Firm A, profit of Firm B). Given this payoff matrix,what output strategy is each firm likely to pursue?
Two firms are engaged in Cournot (simultaneous quantity) competition. Market-level inverse demand is given by P = 160 − 4Q Firm 1 has constant marginal costs of MC1 = 8, while Firm 2 has constant marginal costs of MC2 = 24. 1) Does there exist a low enough positive marginal cost for firm 1 such that firm 1 acts like a monopoly in this market, if so what is the MC if not why?
Consider two firms who compete with each other in terms of quantity. If the inverse market demand and total costs of the firms are given by P = 140 – Q TC = 20q, + 10 TC2 = 20q, + 10 d. Suppose these two firms collude and form a cartel, what will the equilibrium be under this situation Is the equilibrium under (d) sustainable or not and why? f. Suppose that both firms have agreed that firm 1 is a leader and firm 2 is a follower, find the Nash equilibrium of this sequential game е.
Consider an industry that consists of 4 firms, all competing over the same market, given by the following demand equation: P=80-3Q All firms have the same Total Cost Function, given by: TC₁=10q,+2q Suppose the firms decide to collude and voluntarily restrict output and raise price, in order to increase profits. a) What price will be charged by the members of the cartel? Assume the head of the cartel is fair and distributes output q, equally among the 4 firms (since they have identical costs). b)What is the output of each individual firm? c) What is each individual firm's profit? We know that there is a built-in incentive for cartel members to cheat on the cartel. If, as a result, the cartel breaks down: d) What price will be charged in the market? e) Assuming each firm captures an equal share of the market, what now is each firm's output, q? f) What now is individual firm profit? g) Illustrate your answer
In a Cournot duopoly, each firm has marginal cost MC=20, and market demand is Q=100-0.5p. What are the best response functions of each firm? What is the best output level for each? How does the total output level compare to the cartel output level?
Cournot duopolists face a market demand curve given by P = 60 – 1/2Q, where Q is total market demand in units. Each firm can produce output at a constant marginal cost of $15/unit. a) What is the equilibrium price and quantity produced by each firm? b) What if the firm's engaged in Bertrand competition? c) What if one of the firms chose its quantity before its competitor? What is the name for this sort of competition? d) Which of the three forms of competition gives the greatest social surplus?
Consider a Cournot Duopoly model. The inverse demand for their products is given byP = 200 − 6Q, where Q is the total quantity supplied in the market (that is, Q = Q1 + Q2). Each firm has an identical cost function, given by TCi = 2Qi, for i = 1, 2.(a) In the Cournot model, what does each firm choose?(b) What is the timing of each firm’s decision?
Consider a Stackelberg duopoly:There are two firms in an industry with demand Q = 1 − Pd.The “leader” chooses a quantity qL to produce. The “follower” observes qL and chooses a quantity qF.Suppose now that the cost function is Ci(qi) = qi2 for i = L, F. (a) Find the subgame perfect equilibrium. (b) Compare the equilibrium you found with the Nash equilibrium if the game was simultaneous (i.e., Cournot competition). Is the Nash equilibrium of the Cournot game also a Nash equilibrium of the sequential game? Why or why not?
As the firms operate as a cartel in the same market, they would not be able to work at different price points. The lower price would prevail. Under this condition, what would be their outputs and profits? Represent the above situation with a suitably labelled diagram.