As an omnipotent god entity I pledge to counter any any attempt at pascals muggings, as long as the mugger actually has the power to do what they say.
I’ve just canceled out your pledge.
Yep. You did, or you would have if you could actually carry through on your threats. I maintain that you can't. Now it's a question of which of our claims is more likely to be true. That's kind of the point here. When you're dealing with that small or a probability then the calculation becomes useless and marred by noise.
If I'm correct, and I'm one of the very few entities capable of doing this, who happen across your world anyway, then I can cancel out your claim and a bunch of future claims. If you're correct then I can't. So the question is, how unlikely are my claims? How unlikely are yours? Are your claims significantly more likely (on the tiny scales we're working with) then mine?
But yes, now that I look at it more in depth (thank you for the links), it's obvious that this is a reiteration of the "counter" solution, but with actual specific and viable threats behind it.
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.