Your difficulty seems to be with the parenthesis “(who experience has shown is always truthful)”. The relevant experience here is going to be derived from real-world subjects who have been in Omega problems, exactly as is assumed for the standard Newcomb problem. It’s not obvious that Omega always tells the truth to its simulations; no-one in the outside world has experience of that.
However you can construe the problem so that Omega doesn’t have to lie, even to sims. Omega could always prefix its description of the problem with a little disclaimer “You may be one of my simulations. But if not, then...”.
Or Omega could simulate a TDT agent making decisions as if it had just been given the problem description verbally by Omega, without Omega actually doing so. (Whether that’s possible or not depends a bit on the simulation).
Your difficulty seems to be with the parenthesis “(who experience has shown is always truthful)”. The relevant experience here is going to be derived from real-world subjects who have been in Omega problems, exactly as is assumed for the standard Newcomb problem. It’s not obvious that Omega always tells the truth to its simulations; no-one in the outside world has experience of that.
However you can construe the problem so that Omega doesn’t have to lie, even to sims. Omega could always prefix its description of the problem with a little disclaimer “You may be one of my simulations. But if not, then...”.
Or Omega could simulate a TDT agent making decisions as if it had just been given the problem description verbally by Omega, without Omega actually doing so. (Whether that’s possible or not depends a bit on the simulation).