I'm always going to claim that my threat is equal to or greater then their threat. Make sense?
And their claim afterwards? Any threat you can make, they can make. You see why this is a dead end?
(And what kind of decision theory requires a third party to make precommitments before you can make the right decision, anyway?)
And their claim afterwards? Any threat you can make, they can make. You see why this is a dead end?
That's kind of what I'm trying to point out here. It is a dead end, but I'm actually claiming the below. Sure, someone else can also claim the below as well. We can both make the claims. Now, who do you believe more?
But lets formalize my claim. My claim is that I will make n+1 utilitons happen if n is positive or n-1 utilitons happen is n is negative, as long as you do the opposite of what they tell you to do.
Where n is how many utilitons they offer given any result.
I'm outside of your conception of time. So if they make the threat after this is of no concern to me.
Now I tend not to follow this form very much, so please excuse me if this has been suggested before. Still, I don't know that there's anyone else on this board who could actually carry out these threats.
If anyone accepts a pascals mugging style trade off with full knowledge of the problem, then I will slowly torture to death 3^^^^3 sentient minds. Or a suitably higher number if they include a higher (plausible, from my external viewpoint) number. Rest assured I can at least match their raw computing power from where I am. Good luck.
EDIT: I'm told that Eleizer proposed a similar solution over here, although more eloquently then I have.