Two firms compete in a single market (duopoly) with demand given by QD=60-P. The two firms have identical cost functions, C(q)=2q. Suppose firm 1 chooses its output first, following by firm 2 (Stackelberg model). In this case, firm 1 produces ✓ units and firm 2 produces ✓. Firm 1 earns ✓ units. The price in the market is ✓and firm 2 earns $ $ Does firm 1 have a first-mover advantage here?

Two firms compete in a single market (duopoly) with demand given by QD=60-P. The two firms have identical cost functions, C(q)=2q. Suppose firm 1 chooses its output first, following by firm 2 (Stackelberg model). In this case, firm 1 produces ✓ units and firm 2 produces ✓. Firm 1 earns ✓ units. The price in the market is ✓and firm 2 earns $ $ Does firm 1 have a first-mover advantage here?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter15: Imperfect Competition

Section: Chapter Questions

Problem 15.5P

See similar textbooks

Similar questions

Consider a market that only includes two large firms. The (inverse) market demand is P = 100 – Q. 3q2. Firm 1 has a cost function of C, = 2q1, and firm 2 has a cost function of C2 Use a Cournot model to calculate the Nash equilibrium outputs q, and q2 of the two firms. and 92 (a) Give each firm's profit as a function of (b) Compute the Nash equilibrium q, and q2.
1. Two firms (A and B) play a competition game (i.e. Cournot) in which they can choose any Qi from 0 to ¥. The firms have the same cost functions C(Qi) = 10Qi + 0.5Qi2, and thus MCi = 10 + Qi. They face a market demand curve of P = 220 – (QA + QB). Now assume firm A chooses quantity first. Firm B observes this choice and then chooses its own quantity. d)Firm A has MRA = 150 – 4QA/3. What are the equilibrium QA and QB selected in this game? e)What is the equilibrium price, and how much profit does each firm collect?
Consider two firms choosing quantities sequentially in a duopoly setting (i.e. the Stackelberg game). The two firms have identical products. Each firm has no fixed costs, and faces marginal costs equal to 5 plus the quantity it produces (i.e. MC = 5 + q). Market demand is given by Q = 46 - P, where Q is market quantity and P is market price. In equilibrium, how much will the firm that moves first produce?
Exercise 6.7. Suppose two identical companies produce wood stoves and they are the only ones on the market. Its costs are given by: C1 (q1 )=200q1 and C2 (q2) = 200q2. And the inverse market demand curve is: P=2000-2Q, where Q =q1 + q2 Get the Cournot-Nash equilibrium. Calculate the profits of each company. Show graphically. Suppose that the two companies form a cartel to maximize joint profits. How many stoves will you produce? Calculate the profits of each company. Represent graphically. Managers now note that explicit agreements to collude are illegal. Each company must decide on its own whether to produce the amount of Cournot or that of the cartel.
Suppose two firms, A and B, have a cost function of ?(??) = 30??, for ? = ?, ?. The inverse demand for the market is given by ? = 120 − ?, where Q represents the total quantity in the market, ? = ?? + ??. 1. Solve for the firms’ outputs in a Nash Equilibrium of the Cournot Model. 2. Let Firm A be the first mover, and Firm B be the second mover. Solve for the firms’ outputs in a SPNE of the Stackelberg Model.
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?
Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q, = 40 - 3P,+ P2 Firm 2: Q, = 40 - 3P2+ P, Both firms have constant marginal costs of $3.10 per unit. Both firms set their own price and take their competitor's price as fixed. Use the Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.)
Consider a duopolistic market with two firms, A and B, facing a market demand curve of P=100-qA –qB for the same product. Assume that the cost of production is CA=2qA for firm A and CB=4qB for firm B. Suppose that both firms make output decision simultaneously. In Nash equilibrium, the firm A should produce unit, and its profit is In Nash equilibrium, the firm B should produce unit, and its profit is .
Two firms produce Bliffs. They compete by simultaneously choosing prices in a single period. The demand for Bliffs is given by P(Q) = 100-2Q where Q is market quantity and P is market price. Firm 1 has costs C1(q1) = 20q1 and Firm 2 has costs C2(q2) = 10q2. Which statement is true? In the Nash equilibrium to the game, both firms play dominated strategies None of the other answers are correct O In the Nash equilibrium to the game, both firms play dominant strategies In the Nash equilibrium to the game, both firms slowly lower prices towards marginal costs O In the Nash equilibrium to the game, both firms set price equal to marginal cost
Two firms produce and sell differentiated products that are substitutes for each other. Their demand curves are Firm 1: Q₁ = 40-3P₁+ P₂ Firm 2: Q₂ = 40-3P 2+ P1 Both firms have constant marginal costs of $2.30 per unit. Both firms set their own price and take their competitor's price as fixed. Use Nash equilibrium concept to determine the equilibrium set of prices. Since the firms are identical, they will set the same prices and produce the same quantities. In equilibrium, each firm will charge a price of $ and produce units of output. (Enter your responses rounded to two decimal places.) Each firm will earn a profit of $. (Enter your response rounded to two decimal places.)
consider a market with inverse demand P(Q) = 10 − Q and two firms with cost curves C1(q1) = 2q1 and C2(q2) = 2q2 (that is, they have the same marginal costs and no fixed costs). They compete by choosing quantities. Now consider a modified game, which goes as follows: First, Firm 1 decides whether to enter the market or not. As in the previous question, there is no fixed cost, even if the firm decides to enter. Next, Firm 2 observes Firm 1’s entry choice and decides whether to enter or not.Firm 2 has no fixed cost as well. If no firm enters, the game ends. If only one firm enters, that firm chooses quantity, operating as a monopolist. If both firms enter, then Firm 1 chooses quantity q1. Then, Firm 2 observes Firm 1’s choice of q1 and then chooses q2 (like in the previous question). If a firm does not enter, it gets a payoff of zero. Which of the following statements is consistent with the SPNE of this game? Hint: you don’t need complicated math to solve this problem.(a) Neither firm…
Consider a market for crude oil production. There are two firms in the market. The marginal cost of firm 1 is 20, while that of firm 2 is 20. The marginal cost is assumed to be constant. The inverse demand for crude oil is P(Q)=200-Q, where Q is the total production in the market. These two firms are engaging in Cournot competition. Find the production quantity of firm 1 in Nash equilibrium. If necessary, round off two decimal places and answer up to one decimal place.