Oh, okay, I think we’re talking about the same function in different terms. You’re talking in terms of the utility function itself, and I was talking about how much the growth rate falls as the amount of money decreases from some positive starting point, since that’s what Hul-Gil seemed to be talking about. (I think that would be hyperbolic rather than exponential, though.)
The utility function itself does grow indefinitely; just really slowly at some point. And at no point is its own growth speeding up rather than slowing down.
Oh, okay, I think we’re talking about the same function in different terms. You’re talking in terms of the utility function itself, and I was talking about how much the growth rate falls as the amount of money decreases from some positive starting point, since that’s what Hul-Gil seemed to be talking about. (I think that would be hyperbolic rather than exponential, though.)
The utility function itself does grow indefinitely; just really slowly at some point. And at no point is its own growth speeding up rather than slowing down.