Q4. Suppose a duopoly is characterized by the following profits: if the two firms collude and...
Q4. Suppose a duopoly is characterized by the following profits: if the two firms collude and charge the joint profit-maximizing price, they each earn a profit equal to 1500 in each period; if the two firms charge the Cournot–Nash price, they each earn a profit equal to 1200 in each period; and if one firm defects while the other charges the joint profit-maximizing price, the firm that defects earns 3000 and the other earns 0. [20 marks] a) [3 marks] What are each firm’s strategies and the payoff matrix of this game? b) [7 marks] What is the Nash equilibrium? Is this game a prisoner’s dilemma? Explain why or why not. c) [10 marks] Now suppose both firms adopt the following the strategies: (1) Start by cooperating with each firm charging the joint profit-maximizing collusive price; (2) continue to sell at the joint profit-maximizing outputs and price unless the other firm increases its output and lowers its price, in which case produce the Cournot–Nash quantity and charge the Cournot–Nash price forever. What discount rates will sustain collusion
Homework Answers
Add Answer to:
Q4. Suppose a duopoly is characterized by the following profits:
if the two firms collude and...
Suppose the two firms cannot collude and instead compete in the Cournot Model in the market...
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)=1/2 *Q^2). Set up firm 1’s profit maximization. Solve for firm 1’s best response function. Solve for firm 1’s quantity, firm 2’s quantity, the equilibrium market quantity, and price. Show your work. Is this a Nash equilibrium? Do consumers prefer the Cournot competition equilibrium over the collusion of the two firms...
3. Suppose the two firms cannot collude and instead compete in the Cournot Model in the...
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...
Suppose there is a duopoly of two identical firms, A and B, facing a market inverse...
Suppose there is a duopoly of two identical firms, A and B, facing a market inverse demand of ?=640−2?, and cost functions of ?? =40?? and ?? =40?? respectively. Find the Cournot-Nash equilibrium and profit for each firm. Suppose that A acts as the leader in a Stackelberg model and B responds. What are the respective quantities and profits of each firm now? Is it advantageous to move first? What are the prices, quantities and profits for the firms if...
Question 5 Demand in a market dominated by two firms (a Cournot duopoly) is determined according...
Question 5 Demand in a market dominated by two firms (a Cournot duopoly) is determined according to: P = 200 – 2(Q1 + Q2), where P is the market price, Q1 is the quantity demanded by Firm 1, and Q2 is the quantity demanded by Firm 2. The marginal cost and average cost for each firm is constant; AC=MC = $60. The cournot-duopoly equilibrium profit for each firm is _____. Hint: Write your answer to two decimal places. QUESTION 6...
Two firms compete as a duopoly. The demand they face is P = 100 - 3Q....
Two firms compete as a duopoly. The demand they face is P = 100 - 3Q. The cost function for each firm is C(Q) = 4Q. Determine output, and profits for each firm in a Cournot oligopoly If firms collude, determine output and profit for each firm. If firm 1 cheats on the collusion in item 2, determine output and profit for each firm. Graph the reaction functions and identify the points from parts 1, 2 and 3. Determine output,...
The inverse market demand is P=160 – 4Q. The firms have cost functions TC1 = 8+12q1+2q1²...
The inverse market demand is P=160 – 4Q. The firms have cost functions TC1 = 8+12q1+2q1² TC2 = 8+12q2+2q2² a. Determine monopoly profit-maximizing output for each firm. Determine the industry profit-maximizing output under collusion. Calculate the equilibrium price under collusion. Determine if the firms should collude. Assume your initial game is Cournot. Joint profits Profits Collusion = $1079.2 Profits Cournot = 1010.75 Profits Stackelberg = 971.17 Profit monopoly 1 = 904.67 Profits monopoly 2 = 904.67 Collude since...
Consider the following payoff matrix for a game in which two firms attempt to collude under...
Consider the following payoff matrix for a game in which two firms attempt to collude under the Bertrand model: Firm B cuts Firm B colludes Firm A cuts 6,6 24,0 Firm A colludes 0,24 L 12,12 Here, the possible options are to retain the collusive price (collude) or to lower the price in attempt to increase the firm's market share (cut). The payoffs are stated in terms of millions of dollars of profits earned per year. What is the Nash...
Cournot Equillibrium Why is the Cournot equilibrium an equilibrium? O A. Given the other firm's level...
Cournot Equillibrium
Why is the Cournot equilibrium an equilibrium? O A. Given the other firm's level of production, both firms are maximizing profits and cannot improve their situation by u O B. Both firms operate at minimum long-run average cost under a Cournot equilibrium, so changes to output would reduce long-run profits O c. Both firms operate at zero profit under a Cournot equilibrium, so they would face negative profits if they change output. O D. There are short-run barriers...
5. Cournot Competition Consider a Coumot duopoly model. Suppose that market demand is P-a-qi Also suppose that the cost functions of the two firms are TG (q) = q, and T( (a) Write the profit func...
5. Cournot Competition Consider a Coumot duopoly model. Suppose that market demand is P-a-qi Also suppose that the cost functions of the two firms are TG (q) = q, and T( (a) Write the profit function, and the first order condition. (b) Find out the profit maximizing output for each firm. (c) Find the pofit earned by each firm, total profit eamed by the two fims to (d) Now assume that the two firms collude and act as a monopoly....
1. Let's make a deal. Now suppose the two firms could agree to share technology secrets...
1. Let's make a deal. Now suppose the two firms could agree to share technology secrets and split the monopoly profits. If they both cooperate, they each earn 2, and if they both defect, they each earn 1 (payoffs are in billions of dollars). However, if one firm cooperates, the other can defect and earn 3, while the other earns 0. (a) Write down this prisoner's dilemma with a payoff matrix. (b) If the firms interact just once (1.e. the...
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 the following payoff matrix for a game in which two firms attempt to collude under the Bertrand model: Firm B cuts Firm B colludes Firm A cuts 6,6 24,0 Firm A colludes 0,24 L 12,12 Here, the possible options are to retain the collusive price (collude) or to lower the price in attempt to increase the firm's market share (cut). The payoffs are stated in terms of millions of dollars of profits earned per year. What is the Nash...
Cournot Equillibrium
Why is the Cournot equilibrium an equilibrium? O A. Given the other firm's level of production, both firms are maximizing profits and cannot improve their situation by u O B. Both firms operate at minimum long-run average cost under a Cournot equilibrium, so changes to output would reduce long-run profits O c. Both firms operate at zero profit under a Cournot equilibrium, so they would face negative profits if they change output. O D. There are short-run barriers...
5. Cournot Competition Consider a Coumot duopoly model. Suppose that market demand is P-a-qi Also suppose that the cost functions of the two firms are TG (q) = q, and T( (a) Write the profit function, and the first order condition. (b) Find out the profit maximizing output for each firm. (c) Find the pofit earned by each firm, total profit eamed by the two fims to (d) Now assume that the two firms collude and act as a monopoly....
1. Let's make a deal. Now suppose the two firms could agree to share technology secrets and split the monopoly profits. If they both cooperate, they each earn 2, and if they both defect, they each earn 1 (payoffs are in billions of dollars). However, if one firm cooperates, the other can defect and earn 3, while the other earns 0. (a) Write down this prisoner's dilemma with a payoff matrix. (b) If the firms interact just once (1.e. the...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago