Given that there's no definition for the value of a util, arguments about how many utils the universe contains aren't likely to get anywhere.
But Komponisto's idea is not to do with how many utils the universe contains.
Incidentally, it seems to me that if it's possible to make a credible threat to destroy the universe, then our main problem is not Pascal's mugging but the fragility of the universe.
As I understand it, komponisto's idea is that we don't have to worry about Pascal's Mugging because the probability of anyone being able to control 3^^^^3 utils is even lower than one would expect simply looking at the number 3^^^^3, and is therefore low enough to cancel out even this large a number.
What I am trying to respond is that there are formulations of Pascal's Mugging which do not depend on the number 3^^^^3. The idea that someone could destroy a universe worth of utils is more plausible than destroying 3^^^^3 utils, and it's not at all obvious there that the low probability cancels out the high risk.
For background, see here.
In a comment on the original Pascal's mugging post, Nick Tarleton writes:
Coming across this again recently, it occurred to me that there might be a way to generalize Vassar's suggestion in such a way as to deal with Tarleton's more abstract formulation of the problem. I'm curious about the extent to which folks have thought about this. (Looking further through the comments on the original post, I found essentially the same idea in a comment by g, but it wasn't discussed further.)
The idea is that the Kolmogorov complexity of "3^^^^3 units of disutility" should be much higher than the Kolmogorov complexity of the number 3^^^^3. That is, the utility function should grow only according to the complexity of the scenario being evaluated, and not (say) linearly in the number of people involved. Furthermore, the domain of the utility function should consist of low-level descriptions of the state of the world, which won't refer directly to words uttered by muggers, in such a way that a mere discussion of "3^^^^3 units of disutility" by a mugger will not typically be (anywhere near) enough evidence to promote an actual "3^^^^3-disutilon" hypothesis to attention.
This seems to imply that the intuition responsible for the problem is a kind of fake simplicity, ignoring the complexity of value (negative value in this case). A confusion of levels also appears implicated (talking about utility does not itself significantly affect utility; you don't suddenly make 3^^^^3-disutilon scenarios probable by talking about "3^^^^3 disutilons").
What do folks think of this? Any obvious problems?