Good point, thanks. You’re right that even-world looks just as impossible from odd-world’s POV as odd-world looks from even-world, so Omega also needs to compute impossible counterfactuals when deciding whether to give you the million. The challenge of solving the problem now looks very similar to the challenge of formulating the problem in the first place :-)
Why not? It seems to me that to determine that the staple maximizer’s offer is fair, you need to look at the staple maximizer’s assessment of you in the impossible world where it gets control. That’s very similar to looking at Omega’s assessment of you in the impossible world where it’s deciding whether to give you the million. Or maybe I’m wrong, all this recursion is making me confused...
What I meant is, in my version of the problem, you don’t have to solve the problem (say what Omega does exactly) in order to formulate the problem, since “the staple maximizer’s assessment of you in the impossible world where it gets control” is part of the solution, not part of the problem specification.
Good point, thanks. You’re right that even-world looks just as impossible from odd-world’s POV as odd-world looks from even-world, so Omega also needs to compute impossible counterfactuals when deciding whether to give you the million. The challenge of solving the problem now looks very similar to the challenge of formulating the problem in the first place :-)
I pointed out the same issue before, but it doesn’t seem to affect my bargaining problem.
Why not? It seems to me that to determine that the staple maximizer’s offer is fair, you need to look at the staple maximizer’s assessment of you in the impossible world where it gets control. That’s very similar to looking at Omega’s assessment of you in the impossible world where it’s deciding whether to give you the million. Or maybe I’m wrong, all this recursion is making me confused...
What I meant is, in my version of the problem, you don’t have to solve the problem (say what Omega does exactly) in order to formulate the problem, since “the staple maximizer’s assessment of you in the impossible world where it gets control” is part of the solution, not part of the problem specification.