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Irgy comments on Decision Theories: A Less Wrong Primer - Less Wrong
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You can't have it both ways. Either the agent's behaviour is deterministic, or the alien cannot reliably predict it. If it is deterministic, what the source code is determines what the source code does, so it is contradictory to claim the agent can change one but not the other (if by "control" you mean "is responsible for" then that's a different issue). If it is not deterministic, then aside from anything else the whole paradox falls apart.
Nope. See also the free will sequence. The decision is deterministic. The agent is the part of the deterministic structure that determines it, that controls what it actually is, the agent is the source code. The agent can't change neither its source code, nor its decision, but it does determine its decision, it controls what the decision actually is without of course changing what it actually is, because it can be nothing else than what the agent decides.