And because of XDT’s decision controlling the contents of the box, when you say “the payoff is $1000 for two-boxing and $0 for one-boxing,” you’re begging the question about what you think the correct decision algorithm should do.
The problem is in the definition of “correct”. From my point of view, “correct” decision algorithm means the algorithm that a rational precursor should build. That is, it is the algorithm instantiating which by the precursor will yield at least as much payoff as instantiating any other algorithm.
Well, I agree with you there :P But I think you’re cashing this out as the fixed point of a process, rather than as the maximization I am cashing it out as.
The problem is in the definition of “correct”. From my point of view, “correct” decision algorithm means the algorithm that a rational precursor should build. That is, it is the algorithm instantiating which by the precursor will yield at least as much payoff as instantiating any other algorithm.
Well, I agree with you there :P But I think you’re cashing this out as the fixed point of a process, rather than as the maximization I am cashing it out as.