S- Consider a buyer and seller of a used car. The quality of the car (denoted as s) is known to the seller but not to the buyer. The net utility of the buyer is 1s - p if he buys the car at a price p. If he does not buy the car, his utility is zero. The seller's utility is p if she sells the car at a price p. If she does not sell the car, her utility is s> 0. Assume that the buyer does not know s, but his subjective distribution of s, is given by a uniform distribution over the interval [10, 20]. Which of the following statements is correct? (a) the buyer always wants to buy if the seller wants to sell (b) if the seller wants to sell, the buyer does not want to buy (c) if the seller wants to sell, the buyer will buy only if p < 10 (d) if the seller wants to sell, the buyer will buy for all prices p < 15
S- Consider a buyer and seller of a used car. The quality of the car (denoted as s) is known to the seller but not to the buyer. The net utility of the buyer is 1s - p if he buys the car at a price p. If he does not buy the car, his utility is zero. The seller's utility is p if she sells the car at a price p. If she does not sell the car, her utility is s> 0. Assume that the buyer does not know s, but his subjective distribution of s, is given by a uniform distribution over the interval [10, 20]. Which of the following statements is correct? (a) the buyer always wants to buy if the seller wants to sell (b) if the seller wants to sell, the buyer does not want to buy (c) if the seller wants to sell, the buyer will buy only if p < 10 (d) if the seller wants to sell, the buyer will buy for all prices p < 15
Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter18: Auctions
Section: Chapter Questions
Problem 18.1IP
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Question
course: advanced
![12
10
Consider a buyer and seller of a used car. The quality of the car (denoted as s) is known to the seller
but not to the buyer. The net utility of the buyer is S p if he buys the car at a price p. If he does
not buy the car, his utility is zero. The seller's utility is p if she sells the car at a price p. If she does not
sell the car, her utility is s > 0. Assume that the buyer does not know s, but his subjective distribution
of s, is given by a uniform distribution over the interval [10, 20]. Which of the following statements is
correct?
(a) the buyer always wants to buy if the seller wants to sell
(b) if the seller wants to sell, the buyer does not want to buy
(c) if the seller wants to sell, the buyer will buy only if p < 10
(d) if the seller wants to sell, the buyer will buy for all prices p < 15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09238b20-1e79-43dc-b0a6-3d40e032e374%2Fa3421371-f6a4-40de-a78a-3bfab12356d7%2Faqhcjsd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12
10
Consider a buyer and seller of a used car. The quality of the car (denoted as s) is known to the seller
but not to the buyer. The net utility of the buyer is S p if he buys the car at a price p. If he does
not buy the car, his utility is zero. The seller's utility is p if she sells the car at a price p. If she does not
sell the car, her utility is s > 0. Assume that the buyer does not know s, but his subjective distribution
of s, is given by a uniform distribution over the interval [10, 20]. Which of the following statements is
correct?
(a) the buyer always wants to buy if the seller wants to sell
(b) if the seller wants to sell, the buyer does not want to buy
(c) if the seller wants to sell, the buyer will buy only if p < 10
(d) if the seller wants to sell, the buyer will buy for all prices p < 15
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