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DanArmak comments on Simulation argument meets decision theory - Less Wrong Discussion
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Your problem setup contains a contradiction. You said that X and X*_i are identical copies, and then you said that they have different utility functions. This happened because you defined the utility function over the wrong domain; you specified it as (world-history, identity)=>R when it should be (world-history)=>R.
There is a difference between X and Xi: the original X can choose to simulate copies of herself, which exist in the world_history and are legitimate subjects to assign utility to.
A copy X_i can't create further copies (pressing "sim" does nothing in the simulation), so her utility for the action is different.