[Saber Cherry]

Originally posted by mlepinski:
Which raises the question: Is the problem that Saber Cherry posed NP-Complete?

It's clear to me that the problem is NP-Complete if you allow an arbitrary number of resource types (...) However, it is unclear to me whether the specific Dominions-inspired problem (with exactly three resources and the ability to buy many copies of the same unit) is NP-Complete.

That is, indeed, hard to say. There's a way to make it more difficult, BTW, that I was pondering... a "Combined Arms" bonus. The value of a unit would be based on the number you build, so that (for example) the first of any unit was worth 2x the normal value, the second was worth 3/2x the normal value, the third was worth 4/3 of the normal value, and so forth. Not only would this be good for an AI (which would not always produce the same 2 or 3 units), but I get the feeling that it would ensure the problem was NP and not P.