Question

In: Economics

Consider 4 bidders whose values are independently and uniformly distributed over [0, 10]. (a) What are...

Consider 4 bidders whose values are independently and uniformly distributed over [0, 10].

(a) What are the expected selling prices in a (i) second-price auction, and (ii) first-price auction.

(b) Suppose the values of the bidders are 8, 7, 4, and 2. What would be the selling price in a (i) second-price auction, and (ii) first-price auction.

(c) Suppose the values of the bidders are 9, 5, 4, and 2. What would be the selling price in a (i) second-price auction, and (ii) first-price auction.

(d) Comment on (a), (b), (c).

Solutions

Expert Solution


Related Solutions

Consider 5 bidders whose values are independently and uniformly distributed over [0, 600]. Suppose that the...
Consider 5 bidders whose values are independently and uniformly distributed over [0, 600]. Suppose that the values of the bidders are 120,200,240,400 and x. For what values of x, we would have the same selling price in Second-Price Auction (SPA) and FPA? (Hint: there are two solutions!) please explain in more detail,thanks
If X is uniformly distributed over (0, 1), find the fY (t) and E(Y ) of...
If X is uniformly distributed over (0, 1), find the fY (t) and E(Y ) of (a) Y = e X. (b)Y = − ln(X) (c) Y = cos(πX) (d)Y = sin(πX)
1) Let U1, U2, ... be independent random variables, each uniformly distributed over the interval (0,...
1) Let U1, U2, ... be independent random variables, each uniformly distributed over the interval (0, 1]. These random variables represent successive bigs on an asset that you are trying to sell, and that you must sell by time = t, when the asset becomes worthless. As a strategy, you adopt a secret number \Theta and you will accept the first offer that's greater than \Theta . The offers arrive according to a Poisson process with rate \lambda = 1....
Consider a second price auction with 2 bidders, 1 and 2, who have values for the...
Consider a second price auction with 2 bidders, 1 and 2, who have values for the good of 20 and 80, respectively. Each knows what the other bidder’s valuation is so there is no uncertainty. (a) Show that choosing a bid equal to one’s valuation is a weakly dominant strategy for bidder 1. (b) Show that if each bidder plays a weakly dominant strategy, the bidder with the highest value always wins the good (c) Is it a Nash equilibrium...
Consider the following measures based on independently drawn samples from normally distributed populations: Use Table 4....
Consider the following measures based on independently drawn samples from normally distributed populations: Use Table 4. Sample 1: 1formula81.mml = 249, and n1 = 51 Sample 2: 1formula82.mml = 236, and n2 = 26 a. Construct the 95% interval estimate for the ratio of the population variances. (Round "F" value and final answers to 2 decimal places.) Confidence interval _____ to _____ b. Using the confidence interval from Part a, test if the ratio of the population variances differs from...
For a certain health insurance policy, losses are uniformly distributed on the interval [0, b]. The...
For a certain health insurance policy, losses are uniformly distributed on the interval [0, b]. The policy has a deductible of 180 and the expected value of the un-reimbursed portion of a loss is 144. Calculate b. (A) 236 (B) 288 (C) 388 (D) 450 (E) 468
Suppose we have a random variable X that is uniformly distributed between a = 0 and...
Suppose we have a random variable X that is uniformly distributed between a = 0 and b = 100. What is σ X? a. 0.913 b. 0.833 c. 50 d. 7.071
Losses are uniformly distributed on [0, m]. The insurer pays the amount of loss after a...
Losses are uniformly distributed on [0, m]. The insurer pays the amount of loss after a deductible of m/5.There is a 60% chance that the insurer pays at least 200. Find the probability that the insurer pays at least 500.
The time T (in minutes) required to perform a certain job is uniformly distributed over the...
The time T (in minutes) required to perform a certain job is uniformly distributed over the interval [15; 60], which means that T is equally likely to take on any value in [15; 60] while it is impossible to take on any value outside that interval. 1 MATH 32 Worksheet 05: Chapter 5 Fall 2018 (a) Write down the probability mass function of T. (b) Find the probability that the job requires more than 30 minutes. (c) Given that the...
Normal forces are applied uniformly over the surface of a spherical volume of water whose radius...
Normal forces are applied uniformly over the surface of a spherical volume of water whose radius is 20.0 cm. If the pressure on the surface is increased by 200 MPa, by how much does the radius of the sphere decrease?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT