I think they can be agents, at least if Omega gave them a decision theory that produces the output determined by the coin flip. I mean, then it’s no different then when you normally program an agent with a decision theory. Whether they are rational agents then depends on whether you call e.g. Causal Decision Theory-agents rational—I’d probably say no, but many would disagree, I’m guessing.
I think they can be agents, at least if Omega gave them a decision theory that produces the output determined by the coin flip. I mean, then it’s no different then when you normally program an agent with a decision theory. Whether they are rational agents then depends on whether you call e.g. Causal Decision Theory-agents rational—I’d probably say no, but many would disagree, I’m guessing.