If my program runs as long as wished accuracy is nor reached it can reach any accuracy. Truly random numbers are also expected to deviate toward extremes sometimes in the long run (if they do not behave like that they are not random). As it is very rare events, against random players the expected accuracy would certainly never be reached in a human life.
Why I claim is the “calibration phase” described above takes place before Newcomb’s problem. When the actual game starts the situation described in Newcomb’s problem is exactly what is reached. THe description of the calibration phase could even be provided to the player to convince him Omega prediction will be accurate. At least it is convincing for me and in such a setting I would certaily believe Omega can predict my behavior. In a way you could the my calibration phase as a way for Omega to wait for the player to be ready to play truly instead of trying to cheat. As trying to cheat will only result in delaying the actual play.
OK. It may be another problem, what I did is merely replacing a perfectly accurate being with an infinitely patient one… but this one is easy to program.
I posted a possible program doing what I describe in another comment. The trick as expected is that it’s easier to change the human player understanding of the nature of omega to reach the desired predictability. In other words : you just remove human free will (and running my program the player learn very quickly that is in his best interrest), then you play. What is interresting is that the only way compatible with Newcomb’s problem description to remove his free will is to make it a one-boxer. The incentive to make it a two-boxer would be to exhibit a bad predictor and that’s not compatible with Newcomb’s problem.
If my program runs as long as wished accuracy is nor reached it can reach any accuracy. Truly random numbers are also expected to deviate toward extremes sometimes in the long run (if they do not behave like that they are not random). As it is very rare events, against random players the expected accuracy would certainly never be reached in a human life.
Why I claim is the “calibration phase” described above takes place before Newcomb’s problem. When the actual game starts the situation described in Newcomb’s problem is exactly what is reached. THe description of the calibration phase could even be provided to the player to convince him Omega prediction will be accurate. At least it is convincing for me and in such a setting I would certaily believe Omega can predict my behavior. In a way you could the my calibration phase as a way for Omega to wait for the player to be ready to play truly instead of trying to cheat. As trying to cheat will only result in delaying the actual play.
OK. It may be another problem, what I did is merely replacing a perfectly accurate being with an infinitely patient one… but this one is easy to program.
I posted a possible program doing what I describe in another comment. The trick as expected is that it’s easier to change the human player understanding of the nature of omega to reach the desired predictability. In other words : you just remove human free will (and running my program the player learn very quickly that is in his best interrest), then you play. What is interresting is that the only way compatible with Newcomb’s problem description to remove his free will is to make it a one-boxer. The incentive to make it a two-boxer would be to exhibit a bad predictor and that’s not compatible with Newcomb’s problem.