In short, take it as a given that anyone, on any level, has a halting oracle for arbitrary programs, subprograms, and metaprograms, and that non-returning programs are treated as producing no output.
In this case, I have no desire to escape from the room.
Actually, my secret preferred solution to GAME3 is to immediately give up, write a program that uses all of us working together for arbitrary amounts of time (possibly with periodic archival and resets to avoid senescence and insanity), to create an FAI, then plugging our minds into an infinite looping function in which the FAI makes a universe for us, populates it with agreeable people, and fulfills all of our values forever. Program never halts, return value is taken to be 0, Niger0 is instantly and painlessly killed, and Niger1 (the simulation) eventually gets to go live in paradise for eternity.
In this case, I have no desire to escape from the room.
That’s fair.
Actually, my secret preferred solution to GAME3 is to immediately give up, write a program that uses all of us working together for arbitrary amounts of time (possibly with periodic archival and resets to avoid senescence and insanity), to create an FAI, then plugging our minds into an infinite looping function in which the FAI makes a universe for us, populates it with agreeable people, and fulfills all of our values forever. Program never halts, return value is taken to be 0, Niger0 is instantly and painlessly killed, and Niger1 (the simulation) eventually gets to go live in paradise for eternity.