Suppose you want to buy a house that is sold by way of a first-price sealed...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Suppose you want to buy a house that is sold by way of a first-price sealed bid auction. In contrast to the model in the lecture, there are more than 2 players. Players simultaneously and independently submit bids bi, i = 1,..., n. The house is awarded to the highest bidder who must pay his bid, denoted x. Your conjecture is that each player bids a fraction a of her valuation, i.e. b; = avi, where vi is a player's valuation. Moreover, suppose that you have the following information: You know the number of persons n that bid for the house. You believe the other bidders' values are independently and uniformly distributed over the interval [0, 1], where 1 stands for €1.000.000. a) What is the probability that your bid x exceeds the bid of player 2? b) What is the probability that your bid x exceeds the bids of player 2 and 3? c) Now, what is the probability that your bid exceeds that of all other bidders? d) What bid should you choose? 1 e) Explain intuitively how your bid changes with the number of bidders n. f) Now suppose that your own valuation for the house is €800.000 and that there are 5 other bidders. How much should you bid? Suppose you want to buy a house that is sold by way of a first-price sealed bid auction. In contrast to the model in the lecture, there are more than 2 players. Players simultaneously and independently submit bids bi, i = 1,..., n. The house is awarded to the highest bidder who must pay his bid, denoted x. Your conjecture is that each player bids a fraction a of her valuation, i.e. b; = avi, where vi is a player's valuation. Moreover, suppose that you have the following information: You know the number of persons n that bid for the house. You believe the other bidders' values are independently and uniformly distributed over the interval [0, 1], where 1 stands for €1.000.000. a) What is the probability that your bid x exceeds the bid of player 2? b) What is the probability that your bid x exceeds the bids of player 2 and 3? c) Now, what is the probability that your bid exceeds that of all other bidders? d) What bid should you choose? 1 e) Explain intuitively how your bid changes with the number of bidders n. f) Now suppose that your own valuation for the house is €800.000 and that there are 5 other bidders. How much should you bid?
Expert Answer:
Answer rating: 100% (QA)
a The probability that your bid x exceeds the bid of player 2 is equal to the probability that the value of player 2 is less than x Since the other bi... View the full answer
Related Book For
Matching Supply with Demand An Introduction to Operations Management
ISBN: 978-0073525204
3rd edition
Authors: Gerard Cachon, Christian Terwiesch
Posted Date:
Students also viewed these economics questions
-
Consider a bagel store selling three types of bagels that are produced according to the process flow diagram outlined below. We assume the demand is 180 bagels a day, of which there are 30 grilled...
-
Frisbees are produced according to the production function q = 2K + L Where q = Output of Frisbees per hour K = Capital input per hour L = Labor input per hour a. If K = 10, how much L is needed to...
-
Frisbees are produced according to the production function q = 2K + L, Where q = Output of Frisbees per hour K = Capital input per hour L = Labor input per hour a. If K = 10, how much L is needed to...
-
One current practice is to calculate the years remaining for a depletable resource by taking the prevailing estimates of current reserves and dividing it by current annual consumption. How useful is...
-
Would you expect BeO to have the sodium chloride, zinc blende, or fluorite structure? Based on your answer, determine (a) The lattice parameter; (b) The density; and (c) The packing factor.
-
The summer interns at Pitt Fitness explain to management that they will be initially summarizing data in a crosstabular organization. What type of tool are the interns using to create these cubes of...
-
Aldona Bartosz is a computer science student in her last semester. She just completed a class on how to build smartphone apps. The last day of class, Aldonas professor pulled her aside and told her...
-
Presented below are the purchases and cash payments journals for Fornelli Co. for its first month of operations. In addition, the following transactions have not been journalized for July. The cost...
-
84. Which is incorrect order of -I (1) F>Cl> Br>I (2) NR,>-NH3>-NO (3) OCH3>-OH>NH, > -C = CH>H (4) 85. Which of the following compounds is most basic? (1) CH3NH2 (3) CH,-N-CH3 CH (2) CH3-NH-CH3 (4)...
-
Assume the risk-free continuously compounded interest rate is \(4 \%\) per annum. For an asset with today's price \(A(0)=\$ 100\), you are told that its expected return is \(10 \%\) per annum and...
-
Which one of the following terms is defined as the mixture of a firm's debt and equity financing? A). working capital management B). cash management C). cost analysis D). capital budgeting E)....
-
Customers who purchase a certain make of car can order an engine in any of three sizes. Of all cars sold. 45% have the smallest engine, 35% have the medium-sized one, and 20% have the largest. Of...
-
1. Write the equation of a line through (-1, 3) and it is (a) perpendicular to the line x+2y-8=0 (b) parallel to the line 3x-2y=1 (c) parallel to x-axis (d) parallel to y-axis 2. Prove that the...
-
Describe the difference between a global static variable and a global extern variable. If a variable is declared with an extern storage category, what other declaration statement must be present...
-
8. A triangular wheel is spun 5 times in a game of "Spin the Triangle" There are three different corners of the wheel consisting of "Yes," "No," and "Maybe." How many different outcomes are possible...
-
Accounting Question: Performed the work on the assignment and sent an invoice to the customer for $1,824. what increases assests, liablities or assests or decreases?
-
wel/thermocoup 4. Consider the mixing process shown in the figure. The third input stream to the mixing tank has a time-varying volumetric flow rate fs(t) that is manipulated by a valve (not shown)...
-
If 2 5 9 - k 5 8 = 2 5 8 , what is the value of k?
-
Livingston Tools, a manufacturer of battery-operated, hand-held power tools for the consumer market (such as screwdrivers and drills), has a problem. Its two biggest customers are "big box"...
-
Geoff Gullo owns a small firm that manufactures "Gullo Sunglasses." He has the opportunity to sell a particular seasonal model to Land's End. Geoff offers Land's End two purchasing options: Option 1....
-
Suppose a process contains two workstations that operate with no buffer between them. Now consider the three possible scenarios below: a. Which of the three scenarios will have, on average, the...
-
A crystal sample of bacteriorhodpsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm. If a beam of 11 keV x rays illuminates a...
-
A nickel crystals work function is measured to be 5.22 eV at 25C. As the temperature increases by 300C, the work function drops by 50 meV. By how much does this shift the threshold wavelength for...
-
One molecule of ATP provides 0.30 eV when it is used to power cellular processes. Photosynthesis in a typical plant requires 8 photons at 550 nm to produce 1 molecule of ATP. What is the overall...
Study smarter with the SolutionInn App