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Sniffnoy comments on Efficient Charity: Do Unto Others... - Less Wrong
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How about this:
If you have a set E = {X, Y, Z...} of possible actions, A (in E) is the utility-maximising action iff for all other B in E, the limit
is greater than zero, or approaches zero from the positive side. Caveat: I have no evidence this doesn't implode in some way, perhaps by the limit being undefined. This is just a stupid idea to consider. A possibly equivalent formulation is
The inequality being greater or equal allows for two or more actions being equivalent, which is unlikely but possible.
Can't think about the underlying idea right now due to headache, but instead of talking about any sort of limit, just say that it's eventually positive, if that's what you mean.