I think your summary is understandable enough, but I don’t agree that observations should never change the optimal global solution or preference order on the global solutions, because observations can tell you which observer you are in the world, and different observers can have different utility functions. See my counter-example in a separate comment at http://lesswrong.com/lw/90/newcombs_problem_standard_positions/5u4#comments.
From the global point of view, you only consider different possible experiences, that imply different possible situations. Nothing changes, because everything is determined from the global viewpoint. If you want to determine certain decisions in response to certain possible observations, you also specify that globally, and set it in stone. Whatever happens to you, you can (mathematically speaking) consider that in advance, as an input sequence to your cognitive algorithm, and prepare the plan of action in response. The fact that you participate in a certain mind-copying experiment is also data to which you respond in a certain way.
This is of course not for human beings, this is for something holding much stronger to reflective consistency. And in that setting changing preferences is unacceptable.
I think your summary is understandable enough, but I don’t agree that observations should never change the optimal global solution or preference order on the global solutions, because observations can tell you which observer you are in the world, and different observers can have different utility functions. See my counter-example in a separate comment at http://lesswrong.com/lw/90/newcombs_problem_standard_positions/5u4#comments.
From the global point of view, you only consider different possible experiences, that imply different possible situations. Nothing changes, because everything is determined from the global viewpoint. If you want to determine certain decisions in response to certain possible observations, you also specify that globally, and set it in stone. Whatever happens to you, you can (mathematically speaking) consider that in advance, as an input sequence to your cognitive algorithm, and prepare the plan of action in response. The fact that you participate in a certain mind-copying experiment is also data to which you respond in a certain way.
This is of course not for human beings, this is for something holding much stronger to reflective consistency. And in that setting changing preferences is unacceptable.