Three oligopolistic banks operate in the loan market with the inverse demand function given by r (Q) = a-Q, where r is the interest rate per unit of loan and Q = 91+92 +93 and > 0 is the total amount of loans issued by bank i = 1,2,3. Also, a > 0 is a constant. The cost of funds for bank i is given by cɖ, where c = (0, a) is a constant. A bank's profit from loans is (r — c) qi • qi
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Please see the attachment picture and answer questions.
(a) Suppose the banks engage in Cournot competition. Find the symmetric Nash equilibrium. How much profit does each bank make?
(b) Now suppose banks compete in the following sequential manner: Bank 1 first chooses q1. Then banks 2 and 3 observe q1 and then simultaneously choose q2 and q3, respectively. Find the subgame perfect equilibrium. How much profit does each bank make here? Does bank 1 enjoy an advantage being the first mover?
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- Alibaba is a Chinese e-commerce firm similar to Amazon.com in the United States. It has increased its power and global influence with strong leadership from its founder, including knowing when to acquire other organizations. For instance, in addition to acting as a platform for buyers to purchase products, it also acquired firms in the delivery and payments industries so it would have more control over the entire process. Alibaba's acquisitions are an example of a) full-line forcing. b) vertical channel integration. c) channel cooperation. d) horizontal channel integration. e) digital distribution.Please type your NUMERICAL answer in the space below. ENTER ONLY THE NUMBER. IF answers are in decimals, please round the number to one decimal point. Winterfell Cable TV pays $100,000 per year to earn exclusive rights to air a premium sports channel. There are two types of subscribers in Winterfell: 3,000 die-hard sports fans who will pay as much as $200 a year for the new channel and 20,000 occasional sports viewers who will pay as much as $25 a year for a subscription to it. a) If Winterfell Cable is unable to price discriminate, what price will it charge and how much are its profits? Price Profits= b) If Winterfell Cable is able to price discriminate, how much will it make in profits? Profits= What is the deadweight loss associated with the nondiscriminating pricing policy compared to the price c) discriminating policy? DWL=Business journalists frequently write that the financial markets expect that firms that possess market power (e.g., firms that have prominent brand names) will raise their prices on a regular (e.g., annual) basis. Is this a correct characterization of the pricing behavior of firms with market power (e.g., firms that are monopolies)?
- What are Apple internal strenghts and weaknesses?Suppose that the market for cherries in Shandong Province consists of two firms: Organicherry and Pesticherry. You are the owner of Organicherry, and have discovered a natural way to ward off aphids without resorting to pesticides. This advantage has allowed you to enjoy a relatively higher yield than Pesticherry. You use this advantage to be the first firm to choose its output level. The inverse demand function for a box of cherries is P = 1,125− 5Q (prices are in CN¥). Organicherry’s costs are CO(QO) = 40QO, and Pesticherry’s costs are CP(QP) = 80QP. If there were no official/legal issues in merging the two firm, would it be profitable to merge with Pesticherry? If so, how much would you offer to Pesticherry’s owners? [You may use the facts that, if R(Q)=aQ2 +bQ+c then MR(Q)=2aQ+b and that,ifC(Q)=cQ then MC(Q) = c.]Suppose that there are two firms competing in the market for taxi services. Big Ben Taxis has the marginal cost MCB = $9 per trip, and the fixed cost FCB = $3,000,000. While Whitehall Taxis has the marginal cost MCW = $15 per trip, and the fixed cost FCW =$1,000,000. Inverse demand for taxi trips in the market is given by the function, P=75− Q . 10,000 In this equation, P is the price of a taxi trip, and Q is the total quantity of taxi trips supplied by the two taxi companies. Question 1: Find the equilibrium price and quantities for the case in which the two taxi companies engage in Cournot (quantity) competition. What profits will Big Ben Taxis and Whitehall Taxis earn. Question 2: Using your answers to question 1, determine which firm has the greater market power. Question 3: Now suppose that a firm can only supply taxi services if it purchases a licence from the government. What is the highest fee that the government can charge for a license, if the government wants both Big Ben…
- One of the most famous cartels of the past 50 years is OPEC, the Organization of Petroleum Exporting Countries. The members of OPEC are countries rather than individual businesses. Oil Ministers from each of the countries meet regularly to establish how much each oil each country will produce each month (the amount each country agrees to produce is called its quota). Saudi Arabia is the largest oil-producing country in OPEC. Why does Saudi Arabia usually produce less than its quota each month?[Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 Calculate the profit maximizing output levels of each factory?[Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 What is the MR function? What is the MC function of each facility? What is the MC function of the firm? Calculate the profit maximizing output levels of each factory? What is the profit maximizing level of price? What is the maximum profit?
- [Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 What is the MR function? What is the MC function of each facility? What is the MC function of the firm?[Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 Calculate the profit maximizing output levels of each factory? What is the profit maximizing level of price? What is the maximum profit?You make delicious cupcakes that you mail to customers across the country. Your cupcakes are so unique and special that you have a great deal of pricing power. Your customers have identical demand curves for your cupcakes, and a representative customer’s demand curve is shown below. (It’s not needed, but the demand curve equation is P=5-0.2Q or Q=25-5P.) Suppose your MC=$1/cupcake, whether you produce lots or just a few cupcakes. To keep things simple, suppose there are no fixed costs, so FC=0.a) Acting as a monopolist, show the standard pricing analysis on the graph below that identifies your profit-mamximing price and quantity for your representative customer. Shade areas representing your profit and CS. (PS and profit are the same here since FC=0). b) (Suppose you offer a quantity discount: first 10 cupcakes at $3 each and any cupcakes over 10 are offered at a discounted price. What discount price will maximize your profit? Show this quantity discount arrangement on your graph…