How necessary is it that there be an explicit side-channel? Could you not get the same results in the standard situation in which an agent is selecting actions on the basis of expected utility?
Ah right! I meant to address this. I think the results are more muddy (and thus don’t serve as clear illustrations so well), but, you do get the same thing even without a side-channel.
Ok, cool. Probably not high on your list of priorities, but I for one would be interested to see explanation of that case. At the very least it is of philosophical interest—it could be presented as a general problem with Bayesianism, or perhaps even more broadly, with the principle that any logically consistent hypothesis should get non-zero credence.
How necessary is it that there be an explicit side-channel? Could you not get the same results in the standard situation in which an agent is selecting actions on the basis of expected utility?
Ah right! I meant to address this. I think the results are more muddy (and thus don’t serve as clear illustrations so well), but, you do get the same thing even without a side-channel.
Ok, cool. Probably not high on your list of priorities, but I for one would be interested to see explanation of that case. At the very least it is of philosophical interest—it could be presented as a general problem with Bayesianism, or perhaps even more broadly, with the principle that any logically consistent hypothesis should get non-zero credence.