And no matter how small a probability someone assigns to “the randomness is unfair ’cause the experimenter is a dick”, picking red will yield epsilon more expected money than picking green. You need a probability of exactly zero for the choices to be equivalent.
Of course, in an abstract thought experiment as described, a probability of zero is indeed implied, but people don’t pay attention to instructions, as anybody doing tech support will tell you—they invent stuff that was never said, and ignore other bits (I’m guilty of that myself—we all are, I think).
And no matter how small a probability someone assigns to “the randomness is unfair ’cause the experimenter is a dick”, picking red will yield epsilon more expected money than picking green. You need a probability of exactly zero for the choices to be equivalent.
Of course, in an abstract thought experiment as described, a probability of zero is indeed implied, but people don’t pay attention to instructions, as anybody doing tech support will tell you—they invent stuff that was never said, and ignore other bits (I’m guilty of that myself—we all are, I think).
If the experimenter is a dick, then both boxes contain a dagger; or, as it may be, a boot.