Question

In Hayward, there are 100 people who want to sell their used cars. The problem is that nobody except the original owners know which are which. Owners of lemons will be happy to get rid of their cars for any price greater than $200. Owners of peaches will be willing to sell them for any price greater than $1,500 but will keep them if they can’t get $1,500. There are a large number of buyers who would be willing to pay $2,500 for a peach but would pay only $300 for a lemon. When these buyers are not sure of the quality of the car they buy, they are willing to pay the expected value of the car, given the knowledge they have. What is the minimum probability for a used car to be a peach such that peaches stay in the market?

          In Hayward, there are 100 people who want to sell their used cars. The problem is that nobody except the original owners know which are which. Owners of lemons will be happy to get rid of their cars for any price greater than $200. Owners of peaches will be willing to sell them for any price greater than $1,500 but will keep them if they can’t get $1,500. There are a large number of buyers who would be willing to pay $2,500 for a peach but would pay only $300 for a lemon. When these buyers are not sure of the quality of the car they buy, they are willing to pay the expected value of the car, given the knowledge they have.
What is the minimum probability for a used car to be a peach such that peaches stay in the market?

Added by Melissa Q.

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