Reference the following information about the market demand function for questions 1 to 15.
These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) = 80Q. The firm’s marginal cost of production (MC) is equal to the firm’s average cost (AC): MC = AC = 80.
9) What will be the equilibrium market price in the Cournot model?
10) What will be the profit earned by each of the symmetric firms in the Cournot market equilibrium?
11) Now suppose the two firms engage in the Stackelberg market competition instead. Assume firm 1 is the leader (first-mover) and firm 2 is the follower firm (second-mover). What will be the equilibrium output level produced by the Stackelberg leader (first-mover) firm? The right-hand side (R.H.S.) of the Stackelberg leader's marginal profit function is 760 - Q1
12) What will be the equilibrium output produced by the Stackelberg follower (second – mover) firm?
Reference the following information about the market demand function for questions 1 to 15. These questions...
Reference the following information about the market demand function for questions 1 to 15. These questions are on different types of market structures – monopoly, perfect competition, Cournot oligopoly market, and the Stackelberg oligopoly market. The market demand function is given the following equation: P = 1600 – Q where Q is the industry’s output level. Suppose initially this market is served by a single firm. Let the total cost function of this firm be given the function C(Q) =...
4. Consider 2 firms selling fertilizer competing as Cournot duopolists. The inverse demand function facing the fertilizer market is P = 1 - where Q = 94 +98. For simplicity, assume that the long-run marginal cost for each firm is equal to X, i.e. C(q)=Xq for each firm. a) Find the Cournot Nash equilibrium where the firms choose output simultaneously b) Find the Stackelberg Nash Equilibrium where firm A as the Stackelberg leader. How much does the leader gain by...
The market demand function is Q = 10000 - 1000p Each firm has a marginal cost of m=$0.28. Firm 1, the leader, acts before Firm 2, the follower. Solve for the Stackelberg-Nash equilibrium quantities, prices, and profits. Compare your solution to the Cournot-Nash equilibrium. The Stackelberg-Nash equilibrium quantities are q1 = ____ units and q2= ____ units. (Enter your responses as whole numbers.) The Stackelberg-Nash equilibrium price is: p=$_____________ Profits for the firms are profit1=$_______________ and profit2=$_______________ The Cournot-Nash equilibrium...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. (part 2) 1a. What is the Bertrand equilibrium price and quantity in this market? 1b. Suppose Firm 1 is the Stackelberg leader, what is the equilibrium price in this market if Firm 2 plays the follower in this duopoly market? What is the equilibrium quantity? How much does each firm...
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Market demand curve for a good produced only by two
firms is given by P= 70- 20. Both firms produce with constant and
identical marginal cost of 3. 10, that is MC, = MC, = 10.
(P,Q.4-42,) in Cournot equilibrium. a) Find b) Find (P,Q,q1,92,,,
2) in Stackelberg equilibrium with Firm 1 acting as the leader. c)
Compare your findings with monopoly and competitive equilibria.
Market demand curve for a good produced only by two firms...
A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. 1a. Derive the equation of each firm's quantity reaction function. b. What are the Cournot equilibrium quantity and price in this market? How much does each firm produce? c. What would be the equilibrium price and quantity in this market if it were perfectly competitive? d. What would the equilibrium...
The demand for soft drink is determined by the following demand function. P = 150 – Q MC = 30, FC =0 Obtain the P and Q of equilibrium and profit if the firm behaves like in perfect competition. Obtain the P and Q of equilibrium and profit if the firm behaves like in Monopoly No assumes that there are 2 firms (a and b). Obtain qa and qb if they are Cournot oligopolists . Obtain Q and P and...
Please show step by step.
Two firms compete in a market to sell a homogeneous product with inverse demand function P= 600 - 3Q. Each firm produces at a constant marginal cost of $300 and has no fixed costs. Use this Information to compare the output levels and profits in settings characterized by Cournot, Stackelberg, Bertrand, and collusive behavior. Instruction: Do not round Intermediate calculations. Round final answers to two decimal places for Cournot values. Cournot output for each firm:...
Consider two firms with the same constant average and marginal cost, AC = MC = 5 (meaning the cost function is T C1 = 5q1 , T C2 = 5q2 ), facing the market demand curve q1 + q2 = 53 − P . We will use the Stackelberg model to analyze what will happen if one of the firms makes its output decision before the other. What is each firm’s equilibrium output and profit if they behave noncooperatively and...
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...