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 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 O c. P* 40 and Q* = 30 ○ d. P* 20 and Q* = 30
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- 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?bok rint An oligopoly producing a homogeneous product is comprised of three firms that act like a cartel. Assume that these three firms have identical cost schedules. Assume also that if any one of these firms sets a price for the product, the other two firms charge the same price. As long as they all charge the same price they will share the market equally; and the quantity demanded of each will be the same. Below is the total-cost schedule of one of these firms and the demand schedule that confronts it when the other firms charge the same price as this firm. Complete the marginal-cost and marginal- revenue schedules facing the firm. erences Mc Graw Hill Output Total cost Marginal cost Price Quantity demanded Marginal revenue 0 1 23456 7 8 $0 180 300 480 720 1,020 1,380 1,800 2,280 Short Anewor LA JUL 26 $780 720 660 600 540 480 420 360 Toolbar navigation (a) What price would be charged, what output would be produced, and what profit would be made by this firm? (b) If the firms…Help me please
- Consider a duopoly market with 2 firms. Aggregate demand in this market is given byt Q = 500 – P, where P is the price on the market. Q is total market output, i.e., Q = QA + QB, where QA is the output by Firm A and QB is the output by Firm B. For both firms, marginal cost is given by MC = 20, i=A,B. « Assume the firms compete a la Cournot. e a) Find the inverse demand in this market. Note that marginal revenue for both firms is given by MRA=500-2QA-QB, MRB=500-QA-2QB. b) Describe what a best-response curve is and how to find it. c) Derive the best-response function for each firm. d) What are the equilibrium quantities? e) What is the total quantity supplied on this market? f) What is the equilibrium price in this market?QUESTION 5 Consider the Cournot model of quantity competition. In the Nash equilibrium, firms always end up producing more than a monopolist would produce. O True O FalseSuppose that firms’ marginal and average costs are constant and equal to c and that inverse market demand is given by P = a – bQ, where a, b> 0. a. Calculate the profit-maximizing price-quantity combi- nation for a monopolist. Also calculate the monopolist's profit. b. Calculate the Nash equilibrium quantities for Cournot duopolists, which choose quantities for their identical products simultaneously. Also compute market output, market price, and firm and industry profits.
- The graph below shows a demand curve for a firm operating in an oligopolistic market. Kinked Demand Price 100 90 80 70 MC 60 50 40 30 20 10 MR D 10 20 30 40 60 70 80 90 100 Quantity Compared to a price of $75, at a price of $60 demand is O relatively more elastic. O relatively more inelastic. O perfectly elastic. O perfectly inelastic.Consider a Stackelberg duopoly in which firm 1 sets q, firm 2 observes y, and then chooses Ⓒa. Firm 1 chooses q, SMALLER than the static best response to q, because this moves total output closer to the monopoly output. b. Firm 1 chooses , LARGER than the static best response to Oc. Firm 1 chooses q, LARGER than the static best response to ₂ Odq, is a static best response to ₂ because this moves total output closer to the monopoly output because this results in a smaller q. 2Suppose that there are two firms producing a homogenous product and competing in Cournot fashion and let the market demand be given by Q = 120- Assume for simplicity that each firm operates with zero %3D total cost. Find Cournot Nash equilibrium total surplus. 12800 O 6400 O 13600 19200
- Consider the Cournot duopoly with linear demand function ? = 2000 − 2Q, where P is the price and Q = q1 + q2 is the total supply. Firm 1 and firm 2 has constant marginal cost of 600. Just answer the E, F and G, thank you bartleby! a. If firm compete in price, draw in detail the best response of each firm.b. Determine and explain the Bertrand equilibrium.c. What is the equilibrium quantity and how much profit for each firm?d. Explain the Bertrand Paradox in (c)!e. If firm 1 has capacity of production 450 and firm 2 has capacity of 200. Determine the Bertrand equilibrium.f. What is the equilibrium quantity, and how much profit for each firm?g. Is there any paradox in (f)?Which of the following most accurately explains a general distinction between oligopolists that advertise and those that do not? O Unlike nonadvertising oligopolists, advertising ones allocate resources inefficiently, charge a higher price, and restrict output so that price exceeds average cost. O Advertising oligopolists decrease the price to increase sales, whereas nonadvertising ones increase prices to increase profits. O Advertising oligopolists compete using product differentiation instead of price reductions, whereas nonadvertising firms collude to form a cartel to maximize joint profits. O Advertising oligopolists set prices and output quotas to maximize joint profits, whereas nonadvertising ones use product differentiation.3. for two firms that share a market if demand p=300-q where q is the total quantity sold and fixed cost is 300 and MC is 20 and suppose if the firms are in collusion and the first firm decides to cheat ,how much will the first firm produce ,what will its "p " be and profit be and how much will it exceed the second firm.Also then if both firms collude but both cheat then what will each firm make profit?