Basically, all of the decision theories are just deducing payoffs and calculating argmax, but there's a subtle complication with regard to the deduction of payoffs. I'm almost done with the post that explains it.
Well, you guys instead of using x for the choice and doing algebra to handle x on both sides of equations, start going meta and considering yourselves inside simulators, which, albeit intellectually stimulating, is unnecessary and makes it hard for you to think straight.
If I needed to calculate ideal orientation of a gun assuming that the enemy can predict orientation of a gun perfectly, i'd just use x for the orientation, and solve for both ballistics and enemy's evasive action.
Also, the newcomb's now sounds to me like simple case of alternative english ...
In my recent post, I outlined 5 conditions that I'd like a decision theory to pass; TDT, UDT and ADT pass them, while CDT and EDT don't. I called decision theories that passed those conditions "advanced decision theories", but that's probably not an optimal name. Can I ask you to brainstorm some other suggestions for me? (I may be writing a follow-up soon.)
As usual, it's best to brainstorm on your own before reading any of the comments. You can write down your ideas, then check if any have already been suggested, then comment with the new ones.
Thanks!