@Meaningness The point is well-made. I'm more optimistic than you about how much can be answered by combining probability and logic.
are there any approx. strategies for enumerating "Players"/"Traders"?
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is finding a "pretty good" ordering of Traders for LI more tractable than turing machines for SI?
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LI is more tractable than SI; it's computable. You can think of it as a very specific SI approximation scheme.
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Sampling strategies seem more appealing than enumerating them?
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sure, good sampling roughly like ordering in such a way that bad & slow traders occur later
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Not yet, no.
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