RobbinGood sells financial trades to retail traders (r) and institutional traders (i) whose demand curves for financial trades are given by the following equations Demand (r): Q, = 1000 – 70P, Demand (i): Qi = (1000/6) – (70/6)P; thousand trades thousand trades and the marginal cost is a constant $1 per trade for either kind of trader. 64. Suppose RobbinGood decides to set a single price for both groups, and maximize profits accordingly. Then, RobbinGood will sell [ Answerf64 ] thousand trades.
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- Two manufacturers, denoted 1 and 2, are competing for 100 identical customers. Each manufacturer chooses both the price and quality of its product, where each variable can take any nonnegative real number. Let pi and xi denote, respectively, the price and quality of manufacturer i’s product. The cost to manufacturer i of producing for one customer is 10 + 5xi. Note in this expression that the cost is higher when the quality is higher. If manufacturer i sells to qi customers, then its total cost is qi(10 + 5xi). Each customer buys from the manufacturer who offers the greatest value, where the value of buying from manufacturer i is 1,000 + xi - pi; higher quality and lower price mean more value. A manufacturer’s payoff is its profit, which equals qi(pi - 10 - 5xi). If one manufacturer offers higher value, then all 100 customers buy from it. If both manufacturers offer the same value, then 50 customers buy from manufacturer 1 and the other 50 from manufacturer 2. Find all symmetric Nash…Suppose that Yara wants to purchase a boat from Rana. Yara is willing to pay up to $18,000, while Rana is not willing to accept any offer below $15,000. Assume that there are a finite number of negotiating rounds. If the discount factors for Rana and Yara are discount factor for Rana= 0.05 and discount factor for Yara= 0.05, respectively, how much should Yara offer for the boat? Suppose that Rana's discount factor is discount factor for Rana = 0.20, and Yara’s discount factor =0.15. How much should Yara offer for the boat? How does this offer differ from your r to part a, and why?The Able Manufacturing Company and Better Bettors, Inc. are rival firms in the production of a calculator used by horse racing fans for handicapping (determining betting strategies). Each firm has a fixed cost of $100 and a MC = $10 in producing calculators. The demand for the industry’s product is: Q = 900 – 5P, where P is the market price and Q = Q1 + Q2. If each firm must choose how many calculators to produce and sell without knowing of its rival’s production decision, what will be the Cournot equilibrium price and quantities produced? Calculate the profit for each firm.
- Not long ago, the Federal Communications Commission (FCC) implemented “local number portability” rules allowing cellular phone consumers to switch cellular providers within the same geographic area and maintain the same phone number. How would you expect this change to affect the Rothschild index for the cellular service industry?Consider a rent-seeking game with N ≥ 2 contestants. The effort for person i is denoted by xi for i = 1; ... ; N. The cost per unit of effort is C. All contestants are identical. They value the rent at V and each contestant can win the prize with a probability equal to their effort relative to the total effort of all contestants. Thus the payoff function of person i exerting effort xi is given by Exercise 11.10 Three firms have applied for the franchise to operate the cable TV system during the coming year. The annual cost of operating the system is $250 and the demand curve for its services is P = 500 - Q, where P is the price per subscriber per year and Q is the expected number of subscribers. The franchise is assigned for only one year, and it allows the firm with the franchise to charge whatever price it chooses. The government will choose the applicant that spends the most money lobbying the government members. If the applicants cannot collude, how much will each spend on…You are one of five risk-neutral bidders participating in an independent private values auction. Each bidder perceives that all other bidders’ valuations for the item are evenly distributed between $10,000 and $30,000. For each of the following auction types, determine your optimal bidding strategy if you value the item at $22,000. a. First-price, sealed-bid auction. b. Dutch auction. c. Second-price, sealed-bid auction. d. English auction.
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- You and your partner are choosing how much effort to put towards a group project for a course . You both care about the quality of the project , which increases in both of your effort choices . But you both also pay a cost of effort . You are enjoying the course much more than your partner , so your cost of effort is lower . Where y and p denote the amount of effort put by you and your partner , respectively , • Your payoff is 60yp - y³ . • Your partner's payoff is 60yp - 8p³ . Decisions about effort provision are made simultaneously . Answer the following questions about the set of pure strategy Nash equilibria of this game . Please round to 3 decimal places where rounding is needed . a ) In one pure strategy Nash equilibrium , you put more effort towards the project than your partner . In this Nash equilibrium , what is your effort level ? b ) In one pure strategy Nash equilibrium , you put the same level of effort towards the project as your partner . In this Nash equilibrium ,…Bill has been adjudicated by the court to be mentally incompetent. Any contract that bill would enter into would be void? True or falseYou have three tickets to a Celtics game on a night that you are going to be out of town (so the value of unsold tickets is zero to you). There are only four possible buyers of a Celtics ticket. The table below lists the respective reservation prices of these four possible buyers: Customer Reservation Price 1 $25 2 $35 3 $50 4 $60 a) How much revenue can you generate using the English auction mechanism from the sale of the first ticket? [Bids can be made in increments of $1.00] b) How much revenue can you generate using the English auction mechanism from the sale of the second ticket? [Bids can be made in increments of $1.00] c) How much revenue can you generate using the English auction mechanism from the sale of the third ticket? [Bids can be made in increments of $1.00] d) How much total revenue can you generate using the English…