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shminux comments on Decision Theory FAQ - Less Wrong
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Thanks for the clarification.
Perhaps worth noting that earlier in the document we defined acts as functions from world states to outcomes so this seems to resolve the second concern somewhat (if the context is different then presumably this is represented by the world states being different and so there will be different functions in play and hence different acts).
In terms of the first concern, while VNM may define preferences over all lotteries, there's a sense where in any specific decision scenario, VNM is only appealed to in order to rank the achievable lotteries and not all of them. Of course, however, it's important to note as well that this is only part of the story.
Anyway, I changed this for the next update so as to improve clarity.
I could not find a definition of "world state" in the document. All you say is
which is by no means a good definition. It tells you what a state is not, but not what it is. It even fails at that, given that it uses the term "part of the world" without it being previously defined.