A buyer wants to purchase a house from a seller. Let v be the quality of this house. The quality v is known to the seller but unobservable to the buyer. The buyer thinks the chance that v=$1k is 20%, v=$10k is 40%, and v=$50k is 40%. The seller’s valuation of the house is v and the buyer’s valuation of the house is 2v a) Suppose both the buyer and the seller see the value of v . Also suppose the transaction price equals the value of v (i.e. if =10k, then the buyer pays 10k for the house). Calculate the buyer’s expected profit before seeing the value of b) Suppose only the seller sees v. Also suppose the buyer is allowed to make any offer to the seller and the seller accepts it if the offered price is above or equals to v. What is the buyer’s profit maximizing offer? What is the buyer’s maximum profit? c) Base on your answers from (a) and (b), what is the value of information (i.e. the benefits of seeing the value of ) to the buyer?

A buyer wants to purchase a house from a seller. Let v be the quality of this house. The quality v is known to the seller but unobservable to the buyer. The buyer thinks the chance that v=$1k is 20%, v=$10k is 40%, and v=$50k is 40%. The seller’s valuation of the house is v and the buyer’s valuation of the house is 2v a) Suppose both the buyer and the seller see the value of v . Also suppose the transaction price equals the value of v (i.e. if =10k, then the buyer pays 10k for the house). Calculate the buyer’s expected profit before seeing the value of b) Suppose only the seller sees v. Also suppose the buyer is allowed to make any offer to the seller and the seller accepts it if the offered price is above or equals to v. What is the buyer’s profit maximizing offer? What is the buyer’s maximum profit? c) Base on your answers from (a) and (b), what is the value of information (i.e. the benefits of seeing the value of ) to the buyer?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter7: Uncertainty

Section: Chapter Questions

Problem 7.3P

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Question

a) Suppose both the buyer and the seller see the value of v . Also suppose the transaction price equals the value of v (i.e. if =10k, then the buyer pays 10k for the house). Calculate the buyer’s expected profit before seeing the value of

b) Suppose only the seller sees v. Also suppose the buyer is allowed to make any offer to the seller and the seller accepts it if the offered price is above or equals to v. What is the buyer’s profit maximizing offer? What is the buyer’s maximum profit?

c) Base on your answers from (a) and (b), what is the value of information (i.e. the benefits of seeing the value of ) to the buyer?

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