Consider a market where the inverse demand function is P = 100 - Q. All firms in the market have a constant marginal cost of $10, and no fixed costs. Compare the deadweight loss in a monopoly, a Cournot duopoly with identical firms, and a Bertrand duopoly with homogeneous pro
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Consider a market where the inverse demand function is P = 100 - Q. All firms in the market have a constant marginal cost of $10, and no fixed costs. Compare the
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- Consider two price-setting oligopolies supplying consumers in a certain region of a country. Firm 1 employs many of the people living there and the local government subsidizes its operations. In all other respects, the firms are identical-they have the same constant marginal cost, MC = 4, and produce the same good. The demand function for Firm 1 is q1 = 600 - 50p1 - 20p2 and for Firm 2 is q2 = 600 - 50p2 - 20p1, where p1 is Firm 1's price and p2 is Firm 2's price. a. What are the Nash-Bertrand equilibrium prices and quantities without the subsidy? b. What are they if Firm 1 receives a per-unit subsidy of S = 1? Compare the two equilibria.Market demand for widgets is p = 160 - 2Q. Whether there is just one firm selling widgets or many firms selling widgets, the marginal cost and average cost is 100.Assume there are two firms selling widgets acting as Stackelberg duopolists, with Firm 1 moving first and Firm 2 following. Further assume that Firm 1's marginal profit function at its maximum is Mπ(q1) = 75 - q1, where q1 is the amount of widgets sold by Firm 1. What is the quantity sold for each firm?Options are:Firm 1 sells 0 Firms 2 sells 80Firm 1 sells 25 firm 2 sells 64.5Firm 1 sells 15, Firm 2 sells 30Firm 1 sells 7.5 Firm 2 sells 15From question 12 (Stackelberg duopolists), what is the price of widgets?Options are:1501158565The demand function in a duopoly market is P(Q) = 300-0.3Q, where P is the price and Q is the total quantity demanded. Both companies have the same constant marginal cost, What is the deadweight loss if both companies maximize their profits and they are not allowed to cooperate? (MR is not MC since its not monopoly)
- Tom is a monopolist input supplier to Dic and Harry. Tom's marginal cost is 1. Dic and Harry are duopolists with production function q = x1/2. No firm has fixed costs. The demand for the final product is given by Q = 100 – p. a) Assume Dic and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set? -Cournot Duopoly Suppose that Coca Cola and Pepsi companies compete in quantity sold in a small town. The market demand function for soda in the small town is given by the demand function: Q 10,000 P where Q is the aggregate quantity demanded and P is the price of a can of soda. Let Qp be the number of cans of soda sold by the Pepsi company and Qc be the number sold by the Coca Cola company. Assuming that the marginal cost of producing a can of soda is the same for both companies and equal to 50 cents, find the Nash equilibrium of the soda market in this small town. Illusrate the Nash equilibrium by using the best repsonse functions of both companies. %3DConsider a Cournot duopoly. The market demand function is P = 112-1(q1 + q2), where P is the market price, q1 is the output produced by Firm 1 and q2 is the output produced by Firm 2. The two firms have a constant marginal cost c = 17. What is Firm 2's profit ? Round your answer to the nearest integer (e.g. 50)
- Consider a Cournot duopoly. The market demand function is P = 180 – 2(q₂ + q₂), where P is the market price, q₂ is the output produced by Firm 1 and q₂ is the output produced by Firm 2. The two firms have a constant marginal cost c = 30. What is the total output in this market? Round your answer to the nearest integer (e.g. 50)Consider a Bertrand duopoly where market demand is P(Q)=5-9Q. Each firm faces a marginal cost $2 and no fixed cost. How much is the dead weight loss in a Nash equilibrium?Consider a market that is a Bertrand oligopoly with 5 firms in the market. Each of these firms produce an identical product and each have the same cost function of C(Q) = 80Q. The inverse market demand for this product is P = 2480 – 2Q. How much does EACH firm produce at the equilibrium price?
- Consider a Bertrand duopoly where market demand is P(Q)=107-5Q. Each firm faces a marginal cost $18 and no fixed cost. what is one market price that can occur in a Nash equilibrium?Suppose a market is served by two firms (a duopoly). The market demand function given by P = 1200 - Q_{1} - Q_{2} where Q_{1} is the output produced by firm and Q_{2} is the output produced by firm 2 . Firm cost of production is given by the function C(Q_{t}) = 120Q_{t} and firm 2's cost of production is given by the function C(Q_{2}) = 120Q_{2} The average cost of firm 1 is given by A*C_{1} = 120 and the average cost of firm 2 is given by A*C_{2} = 120 Marginal profit function for firm 1: Delta pi 1 Delta Q 1 equiv1080-2Q 1 -Q 2; (d*pi_{2})/(Delta*Q_{2}) = 1080 - Q_{1} - 2Q_{2} Marginal profit function for firm 2: What will be the equilibrium profit levels earned by the Stackelberg leader firm and the Stackelberg follower firm?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?