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Eliezer_Yudkowsky comments on What resources have increasing marginal utility? - Less Wrong Discussion
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Both your examples are actually just about diminishing marginal penalties as you add more attention demands, moving away from 1, or as you add more defections, moving away from 0. The real question is whether there's a resource with no natural maximum that increases in marginal utility; and this shall perhaps be difficult to find.
That's a good way of putting it. I had a vague thought pointing in this direction but wasn't able to verbalize it.