TC1 = 8+12q1+2q1²
TC2 = 8+12q2+2q2²
a. Determine monopoly profit-maximizing output for each firm.
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 profits are strictly higher for each firm.
Make an offer that keeps firm 1 indifferent between operating as a Stackelberg or multi-plant monopoly. Firm one must be reimbursed $513.52 so the maximum is the difference between multi-plant monopoly and firm 1 as a Stackelberg.
Offer 1079.2 - 513.52 = 565.68
We are supposed to do only these many subparts to a question. For solution to other parts of the question please post as a separate question.
The inverse market demand is P=160 – 4Q. The firms have cost functions TC1 = 8+12q1+2q1²...
Let market demand for a Cournot duopoly be represented by P=4500-(2Q1+2Q2), while total costs for firm 1 and 2 are respectively, TC1(Q1)=12Q1 2 and TC2(Q2)=12Q2 2 . Calculate equilibrium output, price, and profit of each firm. 10 pts
Cournot vs. Stackelberg Oligopoly Suppose the inverse demand function and the cost functions for two duopolists are given by: P = 100 – (Q1 + Q2) C1(Q1) = 2Q1 C2(Q2) = 2Q2 a. Cournot: Assume two Cournot duopolists. i. What is firm 1’s Quantity and Profit? R1 = (100-Q1-Q2) * Q1 R1 = 100Q1 - Q12 - Q2Q1 MR1 = 100 - 2Q1 - Q2 C1(Q1) = 2Q1 MC1 = 2 MR1 = MC1 ii. What is firm 2’s Quantity...
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,...
Two identical firms compete as a Cournot duopoly. The inverse market demand they face is P = 120-2Q. The total cost function for each firm is TC1(Q) = 4Q1. The total cost function for firm 2 is TC2(Q) = 2Q2. What is the output of each firm? Find: Q1 = ? Q2 = ?
1. Consider a market with inverse demand P(Q) = 100 Q and two firms with cost function C(q) = 20q. (A) Find the Stackelberg equilibrium outputs, price and total profits (with firm 1 as the leader). (B) Compare total profits, consumer surplus and social welfare under Stackelberg and Cournot (just say which is bigger). (C) Are the comparisons intuitively expected? 2. Consider the infinite repetition of the n-firm Bertrand game. Find the set of discount factors for which full collusion...
Oligopoly The inverse demand curve for brimstone is given by p(Y) 116-3Y (with Y total quantity of brimstone, measured in the conventional units) and the cost function for any firm in the industry is given by TC(y)-8y (with y the output of the firm) a. Determine the industry output and price if the brimstone industry were perfectly competitive Suppose that two Cournot firms operated in the market (Firm 1 and Firm 2) Determine the reaction function of Firm 1. Do...
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....
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...
2*. Consider a market with two firms where the inverse demand function is given by p = 28 - 2q and where q = q1 + q2. Each firm has the total cost function c(qi) = 4qi, where i = {1,2}. a) Compare price level, quantities and profits in this market calculating the Cournot equilibrium and the Stackelberg equilibrium. Draw a graph with best response functions and illustrate the Cournot and Stackelberg solutions in that graph. b) Compare your solutions...