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DanArmak comments on Simulation argument meets decision theory - Less Wrong Discussion
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It should be (world-history, identity)=>R. Different agents have different goals, which give different utility values to actions.
The agent, and the utility function's implementation in the agent, are already part of the world and its world-history. If two agents in two universes cannot be distinguished by any observation in their universes, then they must exhibit identical behavior. I claim it makes no sense to say two agents have different goals or different utility functions if they are physically identical.