By that definition of “perfect rationality” no two perfect rationalists can exist in the same universe, or any material universe in which the amount of elapsed time before a decision is always finite.
Some assumptions allow you to play some games rationally with finite resources, like in the last sentence of my previous comment. Unfortunately we aren’t given any such assumptions in Newcomb’s, so I fell back to the decision procedure recommended by you: Solomonoff induction. Don’t like it? Give me a workable model of Omega.
Yes, it’s true. Perfectly playing any non-mathematical “real world” game (the formulation Vladimir Nesov insists on) requires great powers. If you can translate the game into maths to make it solvable, please do.
By that definition of “perfect rationality” no two perfect rationalists can exist in the same universe, or any material universe in which the amount of elapsed time before a decision is always finite.
Some assumptions allow you to play some games rationally with finite resources, like in the last sentence of my previous comment. Unfortunately we aren’t given any such assumptions in Newcomb’s, so I fell back to the decision procedure recommended by you: Solomonoff induction. Don’t like it? Give me a workable model of Omega.
Yes, it’s true. Perfectly playing any non-mathematical “real world” game (the formulation Vladimir Nesov insists on) requires great powers. If you can translate the game into maths to make it solvable, please do.