FlowVoid

If you are a simulation, then your choice doesn’t matter. You will never get any real benefit from the boxes. It’s like saying, “there is also a finite possibility that the machine is lying and all the boxes are empty”. In which case, the choice is again irrelevant.

Situations in which your choice doesn’t matter are not worth considering. Only the remaining possibility, that you are not a simulation and the machine is not lying, is worth considering.

But if it’s true that the machine can perfectly predict what you will choose, then by definition your choice will be the same its prediction. In which case, you should choose one box.

Regardless of whether the machine is right, if you don’t believe it can perfectly predict what you’ll do then taking both boxes is always better than just one.

It’s much easier if you reframe the problem:

Someone says they’ve built a machine that can perfectly predict what you will do. Do you believe them?

If so, take one box.
If not, take both boxes.