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Desrtopa comments on On accepting an argument if you have limited computational power. - Less Wrong
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Since 3^^^3 is unfeasible, suppose the mugger claims to simulate and kill "only" a quadrillion humans. The number is still large enough to overload one's utility, if you assign any credence to the claim. I am no expert in decision theory, but regardless of the exact claim, if the dude refuses to credibly simulate an amoeba, your decision is simple: ignore and move on. Please feel free to provide an example of Pascal mugging where this approach (extraordinary claims require extraordinary evidence) fails.
You can assign credence to the claim and still assign little enough that a quadrillion humans won't overload it. I think the claim the be able to simulate a quadrillion humans is a lot more probable than the claim to be able to simulate 3^^^3 (you'd need technology that almost certainly doesn't exist, but not outside-the-Matrix powers,) but I'd still rate it as being so improbable as to only account for a tiny fraction of an expected death.
I'm settling for just one quadrillion to avoid dealing with the contingency of "3^^^3 is impossible because complexity". The requirement of testability is not affected by the contingency.
If you assign the threat a probability of, say, 10^-20, the mugger is extorting considerably more dead children from you than you should expect to die if you don't comply.