Consider two firms with identical cost structures competing each other in the market of a good whose demand function is given by: P =50-Q. Cost of a firm is given by C(Q) = 10 + Q2. Find the Cournot-duopoly equilibrium total output and price in the market. (Q= 20, P= 30) (Q=25, P=25) (Q=30, P = 20) (Q=10, P = 40)
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- A common characteristic of oligopolies is a. interdependence in pricing decisions. b. independent pricing decisions. c. low industry concentration. d. few or no plant-level economies of scale.Two identical firms currently serve a market. Each has a cost function of C(q) = 30q. Market demand is P(Q) = 80 − 0.01Q. The firms compete by setting prices simultaneously as in Bertrand competition. Let PB represent the equilibrium Bertrand duopoly price.The firms have proposed to merge, and they announce that this merger will result in considerable cost savings. The firms’ new cost function will have the form Cm(q) = cq + 100, 000. Note that the merged firm has positive fixed costs while the unmerged firms do not. (a) What is the merged firm’s profit-maximizing price if the merger is approved? Is it possible for the cost savings (via c < PB) to be sufficiently large for the merged firms’ profit-maximizing price to be below the duopoly equilibrium price? (b) Suppose that the Department of Justice permits the merger with the requirement that the new (post-merger) price must be no greater than the pre-merger price. Under what circumstances are the firms willing to go through with…Consider a Cournot duopoly with a demand function of p=10-Q(where Q=q1+q2) and a constant marginal cost of c>0. a) Find the two firms’ best-response functions. b) Find the Nash equilibrium output. c) What happens to the equilibrium market price as c increases (assuming that c remains below 10)? d) What happens to the equilibrium market price if c increases above 10?
- 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?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?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?
- Two firms operate in a Cournot Duopoly with an inverse market demand function: P = 180 – 3Q, where Q = q1 + q2. Firm 1 has a total cost structure; TC1 = 50 + 2q1 + 2q1 2 and firm 2 had a total cost structure: TC2 = 100 + 3q2 + 3q2 2 . Answer the following questions: a. If both firms wish to compete, what is the optimal quantity for each firm (qi) and the market price? b. What are the profits for each firm from the strategy in part a? c. If both firms choose to collude and not directly compete, what is the new price, quantity, and profits for each firm?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. What is the equilibrium market price?Consider a Cournot oligopoly consisting of five identical firms producing good X. If the firms produce good X at a marginal cost of $7 per unit and the market elasticity of demand is −3, determine the profit-maximizing price. Multiple Choice $7 per unit $5.25 per unit $7.50 per unit $4.20 per unit