There are two types of used cars. Sellers know the quality of their cars, but buyers do not. Sellers of high-quality cars are willing to sell them for 2760, while sellers of low quality cars will sell for 1560. A high-quality car is worth 3000 to a buyer, while a low-quality car is worth 1800. Buyers are risk neutral. For there to exist an equilibrium in which all cars sell at a single price that reflects the average quality, the proportion of cars that are of high quality has to be at least:

There are two types of used cars. Sellers know the quality of their cars, but buyers do not. Sellers of high-quality cars are willing to sell them for 2760, while sellers of low quality cars will sell for 1560. A high-quality car is worth 3000 to a buyer, while a low-quality car is worth 1800. Buyers are risk neutral. For there to exist an equilibrium in which all cars sell at a single price that reflects the average quality, the proportion of cars that are of high quality has to be at least:

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Exercise 1.8. Consider the following "third-price" auction. There are n≥ 3 bidders. A single object is auctioned and Player / values the object $v,, with V, > 0. The bids are simultaneous and secret. The utility of Player / is: 0 if she does not win and (v-p) if she wins and pays $p. Every non-negative number is an admissible bid. Let b, denote the bid of Player i. The winner is the highest bidder. In case of ties the bidder with the lowest index among those who submitted the highest bid wins (e.g. if the highest bid is $120 and it is submitted by players 6, 12 and 15, then the winner is Player 6). The losers don't get anything and don't pay anything. The winner gets the object and pays the third highest bid, which is defined as follows. Let be the winner and fix a Player j such that b₁ = max({b,,...,b,}\ {b}) [if GAME THEORY - Giacomo Bonanno 39 max({b,...,b}\{b;}) contains more than one element, then we pick one of them]. Then the third price is defined as max({b₁,...,b}\{b,,b;}).…
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Suppose the equilibrium price for good quality used cars is $20,000. And the equilibrium price for poor quality used cars is $10,000. Assume a potential used car buyer has imperfect information as to the condition of any given used car. Assume this potential buyer believes the probability a given used car is good quality is .60 and the probability a given used car is low quality is .40. Assume the seller has perfect information on all cars in inventory. How does the informational imbalance result in market failure? a. Only good quality cars are sold, hence the market under-provides used cars. b. Both poor and good quality cars are sold, hence the market over-provides used cars. c. Only poor quality cars are sold, hence the market under-provides used cars. d. Both poor and good quality cars are sold, hence the market efficiently provides used cars.
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Please find the attached question.
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Could Question 13 be answered?
Half of the used cars for sale in a market are good and the other half are lemons. Owners of good cars are willing to sell them for $1,200, while owners of lemons are willing to sell them for $50. There are many potential buyers who are willing to pay $1,500 for a good car and $300 for a lemon. Buyers cannot tell good cars from lemons, but the original owners know whether a car is a lemon or not. There will be an equilibrium in which all used cars sell for $1,150. There will be an equilibrium in which lemons sell for $50 and good used cars sell for $1,200. There will be an equilibrium in which all used cars sell for $800. The only equilibrium is one in which only lemons are sold. There will be an equilibrium in which lemons sell for $300 and good used cars sell for $1,500.