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.
So I'll add a couple of orders of magnitude. I'm certain he will as well. It ultimately comes down to which of us you believe more. Do you have any reason to believe him more then myself?
So I'll add a couple of orders of magnitude. I'm certain he will as well.
So then your solution doesn't work. Any precommitment you make a mugger can just trivially overcome.
It ultimately comes down to which of us you believe more.
You're not following the process here. 'Which of you I believe more' is already being compensated for by additional increases in the promised reward.
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.