Economics In the market of used cars, the quality is variable. Assume that the quality of a given car can be between $500 and $6,000, with uniform probability. The distribution of quality is known to everybody and owners know the quality of the car they are selling, but not the buyer. All the agents are risk neutral. (a) If a buyer thinks that all cars are in the market, what is the maximum price he is willing to pay? Price of the cars remaining in the market (hint: this new price is the average of the original prices) (b) At the previous price, what is the quality of the cars in the market? (c) Find E[Xn+1]= (b+a)/2 and E[A(UB]= (3/2)* E[Xn+1]- P. d) Draw the graph
Economics In the market of used cars, the quality is variable. Assume that the quality of a given car can be between $500 and $6,000, with uniform probability. The distribution of quality is known to everybody and owners know the quality of the car they are selling, but not the buyer. All the agents are risk neutral. (a) If a buyer thinks that all cars are in the market, what is the maximum price he is willing to pay? Price of the cars remaining in the market (hint: this new price is the average of the original prices) (b) At the previous price, what is the quality of the cars in the market? (c) Find E[Xn+1]= (b+a)/2 and E[A(UB]= (3/2)* E[Xn+1]- P. d) Draw the graph
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Economics
In the market of used cars, the quality is variable.
Assume that the quality ofa given car can be
between $500 and $6,000, with uniform
probability. The distribution of quality is known to
everybody and owners know the quality of the car
they are selling, but not the buyer. All the agents
are risk neutral.
(a) If a buyer thinks that all cars are in the market,
what is the maximum price he is willing to pay?
Price of the cars remaining in the market (hint: this
new price is the average of the original prices)
(b) At the previous price, what is the quality of the
cars in the market?
(c) Find E[Xn+1]= (b+a)/2 and E[A(UB]= (3/2)*
E[Xn+1]- P.
d) Draw the graph](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dc7dc76-5ea5-4e90-8be0-57435d3fd619%2F3bc04d81-f7f6-4b1b-b4df-b051c6e05b91%2Foqhhm6m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Economics
In the market of used cars, the quality is variable.
Assume that the quality ofa given car can be
between $500 and $6,000, with uniform
probability. The distribution of quality is known to
everybody and owners know the quality of the car
they are selling, but not the buyer. All the agents
are risk neutral.
(a) If a buyer thinks that all cars are in the market,
what is the maximum price he is willing to pay?
Price of the cars remaining in the market (hint: this
new price is the average of the original prices)
(b) At the previous price, what is the quality of the
cars in the market?
(c) Find E[Xn+1]= (b+a)/2 and E[A(UB]= (3/2)*
E[Xn+1]- P.
d) Draw the graph
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