Yes, such an agent will self-modify if it is presented with a Newcombe game before Omega determines how much money to put into boxes. It will even self-modify if there is a 1-in-1000 credence that Omega has not yet done so (or might change their mind).
At this point considerations come in such as what will happen if such an agent expects that they will face Newcombe-like games in the future but aren’t yet certain what form they will take or what the exact payoffs will be. Should they self-modify to something UDT-like now?
Yes, such an agent will self-modify if it is presented with a Newcombe game before Omega determines how much money to put into boxes. It will even self-modify if there is a 1-in-1000 credence that Omega has not yet done so (or might change their mind).
At this point considerations come in such as what will happen if such an agent expects that they will face Newcombe-like games in the future but aren’t yet certain what form they will take or what the exact payoffs will be. Should they self-modify to something UDT-like now?