1) Consider the Akerlof's model of lemons. Assume the sellers have all the bargaining power: they can charge the buyers their expected value of buying the car. Suppose there are 3 possible car qualities: high, medium and low. Suppose also that the proportion of each type of car is 1/3. The values of buyers and sellers for different car qualities are tabulated below. Seller's value Buyer's value Low quality car Medium quality car High quality car 8 10 13 15 18 (a) Is there an equilibrium in which all types of qualities are traded? (b) Is there an equilibrium in which only low and medium qualities are traded? (c) Is there an equilibrium in which only low qualities are traded?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.6P
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1) Consider the Akerlof's model of lemons. Assume the sellers have all the bargaining power: they
can charge the buyers their expected value of buying the car. Suppose there are 3 possible car
qualities: high, medium and low. Suppose also that the proportion of each type of car is 1/3. The
values of buyers and sellers for different car qualities are tabulated below.
Seller's value
Buyer's value
Low quality car
Medium quality car
High quality car
8
10
13
15
18
(a) Is there an equilibrium in which all types of qualities are traded?
(b) Is there an equilibrium in which only low and medium qualities are traded?
(c) Is there an equilibrium in which only low qualities are traded?
(d) Instead of equal proportion of cars, suppose the proportion of high-, medium-, and low-
quality cars are 0H, OM,0L respectively. Derive conditions on 0,0M, 0L under which there is
an equilibrium in which all cars are traded.
Transcribed Image Text:1) Consider the Akerlof's model of lemons. Assume the sellers have all the bargaining power: they can charge the buyers their expected value of buying the car. Suppose there are 3 possible car qualities: high, medium and low. Suppose also that the proportion of each type of car is 1/3. The values of buyers and sellers for different car qualities are tabulated below. Seller's value Buyer's value Low quality car Medium quality car High quality car 8 10 13 15 18 (a) Is there an equilibrium in which all types of qualities are traded? (b) Is there an equilibrium in which only low and medium qualities are traded? (c) Is there an equilibrium in which only low qualities are traded? (d) Instead of equal proportion of cars, suppose the proportion of high-, medium-, and low- quality cars are 0H, OM,0L respectively. Derive conditions on 0,0M, 0L under which there is an equilibrium in which all cars are traded.
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