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.