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DSimon 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.
Side comment: that math equation image generator you used is freakin' excellent. The image itself is generated based from the URL, so you don't have to worry about hosting. Editor is here.
I prefer this one, which automatically generates the link syntax to paste into a LW comment. There's a short discussion of all this on the wiki.