Actually, I am including Bayesianism in “reinforcement learning” in the broad sense, although I am also advocating for some form of asymptotic optimality (importantly, it is not asymptotic in time like often done in the literature, but asymptotic in the time discount parameter; otherwise you give up on most of the utility, like you pointed out in an earlier discussion we had).
In the scenario you describe, the agent will presumably discard (or, strongly penalize the probability of) the pro-nuclear-war hypothesis first since the initial policy loses value much faster on this hypothesis compared to the anti-nuclear-war hypothesis (since the initial policy is biased towards the more likely anti-nuclear-war hypothesis). It will then remain with the anti-nuclear-war hypothesis and follow the corresponding policy (of not starting nuclear war). Perhaps this can be formalized as searching for a fixed point of some transformation.
Actually, I am including Bayesianism in “reinforcement learning” in the broad sense, although I am also advocating for some form of asymptotic optimality (importantly, it is not asymptotic in time like often done in the literature, but asymptotic in the time discount parameter; otherwise you give up on most of the utility, like you pointed out in an earlier discussion we had).
In the scenario you describe, the agent will presumably discard (or, strongly penalize the probability of) the pro-nuclear-war hypothesis first since the initial policy loses value much faster on this hypothesis compared to the anti-nuclear-war hypothesis (since the initial policy is biased towards the more likely anti-nuclear-war hypothesis). It will then remain with the anti-nuclear-war hypothesis and follow the corresponding policy (of not starting nuclear war). Perhaps this can be formalized as searching for a fixed point of some transformation.