No, what I mean is that there’s a symmetry between the setup “Omega kills you if you follow FDT for the crime of following FDT” and the setup “Omega kills you if you follow CDT for the crime of following CDT” which isn’t necessarily present in setups like “Omega simulates you and then based on your actions in the simulation, does X or Y”. There’s other problems with the second kind of system in some cases if Omega is allowed to lie, since this also allows symmetry into the system.
You can set up a version of Newcomb’s problem where Omega never lies, but you can’t do that for e.g. Newcomb’s revenge, since in that case, Omega has to tell it’s simulation of you that you’re in the regular Newcomb’s problem.
No, what I mean is that there’s a symmetry between the setup “Omega kills you if you follow FDT for the crime of following FDT” and the setup “Omega kills you if you follow CDT for the crime of following CDT” which isn’t necessarily present in setups like “Omega simulates you and then based on your actions in the simulation, does X or Y”. There’s other problems with the second kind of system in some cases if Omega is allowed to lie, since this also allows symmetry into the system.
You can set up a version of Newcomb’s problem where Omega never lies, but you can’t do that for e.g. Newcomb’s revenge, since in that case, Omega has to tell it’s simulation of you that you’re in the regular Newcomb’s problem.