Many people have difficulty borrowing as much money as they want, even if they are confident that their incomes in the future will be high enough to…
September 3, 2020
Continuous demand for insurance: What fraction of a person’s potential losses will they choose to insure if they are free to choose any level of
September 3, 2020

Adam and his friends Brigit, Cheryl, David, Emily, Frank, Gail, Henry, Ivan, and Juliet have two choices for weekend activities. They can either go to the local park or get together in Adam’s hot tub. The local park isn’t much fun, which means that the benefits from being there are low on the friends’ common utility scale. In fact, each of the friends receives a benefit equal to 3 “utils” from being at the park. This benefit doesn’t depend on how many of the friends go to the park. Adam’s hot tub, on the other hand, can be fun, but the benefits of using it depend on how many of the friends are present. When the tub isn’t too crowded, it’s quite enjoyable. When lots of people show up, however, the tub is decidedly less pleasant. The relationship between benefit per person (measured in utils) and the number of people in the hot tub (denoted T) is

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