Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 – 3Q and each firm has a constant marginal cost MC=10. The Cournot equilibrium quantity for each firm is: a. 7.5 b. 10 c. 5 d.15
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Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 – 3Q and each firm has a constant marginal cost MC=10. The Cournot
a. 7.5
b. 10
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- SUB-SECTION B2 13 Electra and Luminux are the only two firms who provide electricity in a local market as a Cournot duopoly. The electricity provided by the two firms is identical and consumers are indifferent about which firm they will purchase electricity from. The market inverse demand for electricity is P = 100 - 2Q, where is the aggregate quantity of electricity produced by the two firms, qe qL. Electra has a marginal cost of 12, while Luminux has a marginal cost of 20. Assume that neither firm has any fixed costs. (a) Determine each firm's reaction curve and graph it. How much electricity will each firm produce in a Cournot equilib- rium? (c) What will the market price for electricity be? How much profit does each firm make? (e) Suppose now that the two firms move sequentially with one of them acting as a Stackelberg leader. Do you expect the outcome to the closer to perfect competition when Electra, or when Luminux, moves first? Explain your answer.1. Consider two duopolists who each have a constant marginal cost c = e2 = 3 and face inverse demand P = 15 – Q,where Q = Q1 + Q2 is the total output of both firms. 1. Find the Cournot equilibrium quantity for each firm, the resulting market price, and the profits for each firm. 2. Find the Stackelberg equilibrium quantities for each firm, and the price, and the profits for each firm supposing that Firm 1 is the industry leader. 3. Suppose that Firm 2 figures out a way to lower its marginal cost to ez = 0 while firm 1 still has a marginal cost equal to 1: c = 3. How does this affect the Cournot equilibrium quantities, price, and profits? 4. How does this affect the Stackelberg equilibrium (with Firm 1 still as the leader) quantities, price, and profits?Help me please
- country where wine is difficult to grow. The demand for wine is given by p = $480 - .2Q, where p is the price and Q is the total quantity sold. The industry consists of just the two Cournot duopolists, Grinch and Grubb. Imports are prohibited. Grinch has constant marginal costs of $6 and Grubb has marginal costs of $45. How much Grinch's output in equilibrium? | a) 1,350 b) 2,025 c) 337.50 d) 675 e) 1,012.50Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 - 3Q and each firm has a constant marginal cost MC=10. The market price of equilibrium and total quantity in the market is: Select one: a. P* 30 and Q* = 20 O b. P* 40 and Q* = 20 ○ c. P* = 40 and Q* = 30 O d. P*20 and Q* = 30The market demand curve for mineral water is given by P=20 - Q. If there are two firms that produce mineral water, each with a constant marginal cost of 8 per unit, fill in the entries for each of the four duopoly models indicated in the table. (In the Stackelberg model, assume that firm 1 is the leader.) Instructions: Round your answers to 1 decimal place. Model Shared monopoly Cournot Bertrand Stackelberg 21 4.5 92 4.5 01 + 0₂ P 11 1 ग 2 π 1+ 2
- Suppose two firms compete as Bertrand duopolists for an identical product, where demand is given by Q = 5000 – 50P and both firms have marginal cost of 10 per unit of output. If firm 1 has capacity of 1500 and firm 2 has capacity of 2000, what will the equilibrium price be in this market?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?The market for dark chocolate us characterized by Cournot duopolists - Honeydukes and Wonka industries. The market demand for dark chocolate is: P = 8 - 0.005Qd where P is the price per bar in dollars and Qd is dark chocolate's daily quantity demanded in bars (use qh to represent the quantity of dark chocolate sold by Honeydukes and qw to represent the quantity of dark chocolate sold by Wonka Industries). Honeydukes has a constant marginal cost of $2.50 per bar, while Wonka Industries has a constant marginal cost of $3.00 per bar. The firms move simultaneously in choosing their profit-maximizing quantity of output. a. Given the firms move simultaneously, what is the equation for Honeydukes' reaction function with qh expressed as a function of qw? b. Given the firms move simultaneously, what is the equation for Wonka's reaction function with qw expressed as a function of qh? c. What quantity of dark chocolate will each firm produce in equilibrium and what price will be established for a…
- What is the homogeneous-good duopoly Cournot equilibrium if the market demand function is Q= 1,800 - 1,000p. and each firm's marginal cost is $0.28 per unit? The Cournot-Nash equilibrium occurs where q, equals and 92 equals (Enter numenic responses using real numbers rounded to two decimai places.) Furthermore, the equilibrium occurs at a price of $ (Round your answer to the nearest penny.)1) Consider the following two finite versions of the Cournot duopoly model where inverse demand is given by P = a-Q (Q-q1 + q2 and a > Q> 0) and marginal cost is a constant c for each firm. First, suppose each firm must choose either half the monopoly quantity, qm/2 = (a – c)/4, or the Cournot equilibrium quantity, qe = (a - c)3. No other quantity choices are feasible. Show that this two-action game is equivalent to the Prisoner's Dilemma: i) each firm has a strictly dominated strategy and ii) both firms are worse off in qquilibrium than they would be if they cooperated. (Hint: calculate each firm's payoff for possible outcome combinations)The inverse demand function in an industry with two firms is given as p = 50 – 2y, where y is the industry demand and p is the price. The firms have different technologies at their production plants with costs given as c(y1) = 10y, and c2[y2) = 14y2, where y = y,+ y2. 1. Assuming the firms are Cournot duopolists, find the equilibrium price, quantity and profit for each firm (if needed, have 2 digits after decimal point). 2. Assuming the firms act as a Stackelberg leader and follower, with firm 1 as the leader, find the equilibrium price, quantity and profit for each firm. 3. If the firms merge into one firm and become a monopoly in the industry, what will be the output of the merged firm? Comment on what would happen to the production plants under one ownership. Find the equilibrium price and profit. 4. Compare and comment on the total industry profits in these three market structures. 5. Assuming the firms are Bertrand duopolists, what is likely to happen? Explain verbally (no need to…
