Well a world with N people, with N large and not simple like a power of 2 or something, is going to be log2 N extra bits to specify over the same world with one person. Then an extra log2 N bits to locate a specific observer.
But since you might be any one of the N people, the second one cancels out and you’re left with the inherent complexity of the world. So log2 N, but if N is a simple number it can be much less. For N power of 2, it can be log log N. And you can have stuff that grows much faster than powers of 2, eg. N=Graham’s number doesn’t take many bits to specify.
In the standard SB question, not significantly, because the scenario is so contrived and the number of people under tails isn’t that high.
But in versions with thousands of people, yes.
Do we have a numerical estimate how much is the shift? ( of cause I can ask AI but interesting in your opinion). Something like 1/log N ?
Well a world with N people, with N large and not simple like a power of 2 or something, is going to be log2 N extra bits to specify over the same world with one person. Then an extra log2 N bits to locate a specific observer.
But since you might be any one of the N people, the second one cancels out and you’re left with the inherent complexity of the world. So log2 N, but if N is a simple number it can be much less. For N power of 2, it can be log log N. And you can have stuff that grows much faster than powers of 2, eg. N=Graham’s number doesn’t take many bits to specify.