That’s not too bad, actually. One of my ideas while thrashing about here was that an agent should have a “favourite” number in the set {1, 2} and pick that number with certainty. That way, Omega will definitely put the $1 million in Box 1 or Box 2 and each agent will have 50% chance that their favourite number disagrees with the simulated agent’s.
This won’t work if Omega describes the source-code of the simulation (or otherwise reveals the simulation’s favourite number) - since then any agent with that exact code knows it can’t choose deterministically, and its best chance is to pick each box with equal chance, as described in the original analysis.
That’s not too bad, actually. One of my ideas while thrashing about here was that an agent should have a “favourite” number in the set {1, 2} and pick that number with certainty. That way, Omega will definitely put the $1 million in Box 1 or Box 2 and each agent will have 50% chance that their favourite number disagrees with the simulated agent’s.
This won’t work if Omega describes the source-code of the simulation (or otherwise reveals the simulation’s favourite number) - since then any agent with that exact code knows it can’t choose deterministically, and its best chance is to pick each box with equal chance, as described in the original analysis.