An example function f, or an example where someone actually recommended or used a particular function f?
I don’t know of any of the latter, but using an increasing and bounded f has come up in some discussions about infinite ethics (although it couldn’t be concave towards −∞). I discuss bounded utility functions here.
An example function is 1−e−x. See this link for a graph. It’s strictly increasing and strictly concave everywhere, and bounded above, but not below.
An example function f, or an example where someone actually recommended or used a particular function f?
I don’t know of any of the latter, but using an increasing and bounded f has come up in some discussions about infinite ethics (although it couldn’t be concave towards −∞). I discuss bounded utility functions here.
An example function is 1−e−x. See this link for a graph. It’s strictly increasing and strictly concave everywhere, and bounded above, but not below.
Yes, I meant an example of someone using f in this way. It doesn’t seem to be standard in welfare economics.