bbwwnn · HackerTrans

hace 4 añosdiscuss

Could you or someone elaborate on that? It’s not obvious to me how uncertainty around K implies that equality is a good thing… it feels like there is some (perhaps obviously correct) assumption here on the distribution of K that’s missing here. Now if we say that utility provided to society by a person is concave with respect to their resources, then equality becomes obvious, but that seems different than this toy model (and also not obviously correct).

bbwwnn

hace 4 añosdiscuss

If the amount of resources is below Kpopulation - e.g. K/2population, wouldn’t that model suggest allocation K to half the population and 0 to the other half? If it is significantly above - e.g. 2Kpopulation, what’s the issue with giving everyone K and e.g. one person all the remaining resources?

bbwwnn

hace 5 añosdiscuss

One simple trick is doing a bijective transformation between your constrained input space and the unconstrained optimizer space. For example, if you have x>0 in your input space, you take the input from your optimizer and apply e^x to it. Or if you have a<x<b you can do a+b*logit(x). What exactly you choose will depend on your prior on how your function behaves.

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