No, the utility function just needs to be sublinear. A popular example is that many toy models assign log(X) utility to X dollars.
But then there would still be a very high value that could make you change idea.
The limit of the logarithm of x when x approaches infinity is infinity, so: if someone wants to live forever, and doesn’t care about a minimum amount of safety, he should accept the deal.
No, the utility function just needs to be sublinear. A popular example is that many toy models assign log(X) utility to X dollars.
But then there would still be a very high value that could make you change idea.
The limit of the logarithm of x when x approaches infinity is infinity, so: if someone wants to live forever, and doesn’t care about a minimum amount of safety, he should accept the deal.