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What is the duopoly Nash-Cournot equilibrium if the
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- 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.)Consider a duopoly where firms compete in prices and firms do not have any capacity constraints. Market demand is P(Q)=45-4Q, and each firm faces a marginal cost of $9 per unit. How much is each firm's total variable cost if firms equally divide the market at Nash equilibrium?In a duopoly market firms face the market demand curve P=280-Q where Q=q1+q2. Each firm has a marginal cost of 40 taka per unit. What is the Cournot equilibrium?
- 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)What is the homogeneous-good duopoly Cournot equilibrium if the market demand function is and each firm's marginal cost is $0.28 per unit? The Cournot-Nash equilibrium occurs where q₁ equals and 92 equals Q = 10,000-400p, (Enter numeric responses using real numbers rounded to two decimal places.)Consider 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 noncollusive duopoly model with both firms supplying bottled drinking water. The marginal cost for each firm is $1.50. The market demand is shown by the figure on the right. Let us assume that the two firms supplying bottled drinking water are Firm A and Firm B. The price charged by Firm A is denoted as PA and the price charged by Firm B is denoted as PB- Find the demand functions for each of the firms. If PA S$5, then demand for Firm A's bottled drinking water is: thousand if PA PB thousand if PA = PB thousand if PA > PB If PB ≤ $5, then demand for Firm B's bottled drinking water is: thousand if PB PA Price 10- 9- 8- 7- 6- 5- 4- 3- 2- 1- 0- 0 0.5 1 Demand 2 2.5 3 3.5 1.5 Quantity (in thousands) 4 4.5Suppose there are just two firms, 1 and 2, in the oil market and the inverse demand for oil is given by P = 60 – Q. The marginal cost for each firm is €30. What price should Firm 2 charge at the Cournot equilibriumConsider a Bertrand duopoly. Market demand is P(Q)=41-3Q, and each firm faces a marginal cost of $4 per unit. How much is the sum of firms' total revenue in the Nash equilibrium?
- The market demand curve faced by Stackelerg duopolies is: Qd = 12,000 - 5P where Qd is the market quantity demanded and P is the commodity's price in dollars. Firm A's marginal cost is: MCa = 0.08qa where MCa is Firm A's marginal cost in dollars and qa is the quantity of output produced by Firm A. Firm B's marginal cost equation is: MCb = 0.1qb where MCb is Firm B's marginal cost in dollars and qb is the quantity of output produced by Firm B. Because of Firm A's lower marginal cost, Firm B has conceded the power to move first to Firm A. a. Given Firm B will move second, what is the equation for Firm B's reaction function with qb expressed as a function of qa? b. Given Firm A can move first, what quantity of output will Firm A produce? c. What quantity of output will firm B produce? What price will be established for the commodity?Suppose oil production in the Gulf of Mexico was a symmetric horizontal oligopoly in Cournot competition. Assume there are two producers, each with a constant marginal cost of production of $50 per barrel. Let the demand function for oil in the region be D(p) = 12000 – 20p, where demand is measured in barrels per day. (You will need to calculate inverse demand from demand before moving on). What would the perfectly competitive equilibrium price and quantity be? What would be the consumer surplus and producer surplus? Draw each firm’s residual inverse demand curve. Calculate the Cournot-Nash equilibrium price and quantity. What is the total consumer surplus, total producer surplus across the two firms, and deadweight loss?Duopoly and menu costs. (This is adapted from CaminaI 1987.) Consider two firms producing imperfect substitutes. Both firms can produce at zero marginal cost. The demand for the good produced by firm i is given by Now suppose that both firms enter the period with price p., which is the Nash equilibrium price for some value of a, a·. They know b and c. They each observe the value of a for the period, and each firm must independently quote a price for the period. If it wants to quote a price different from p*, it must pay a cost k. Otherwise, it pays nothing. Once prices are quoted, demand is allocated, demand determines produdion, and profits are realized. (b) Compute the set of values of a (around a*) for which not to adjust prices is a Nash equilibrium. (c) Compute the set of values of a (around a*) for which to adjust prices is a Nash equilibrium. (d) Check that all equilibria are symmetric and therefore that there are no other equilibria than the ones computed above.…