I was assuming that the "vertex" of your light cone is situated at or shortly after the Big Bang (e.g. maybe during the first few minutes of nucleosynthesis).
No, it can be located absolutely anywhere. However you're right that the light cones with vertex close to Big Bang will probably have large weight to low K-complexity.
...given that a super-strong future filter looks very unlikely, most of the probability will be concentrated on models where there are only a few civilisations to start with.
This looks correct, but it is different from your initial argument. In particular there's no reason to believe MWI is wrong or anything like that.
...in short I believe your summed discounted utility is diverging (or in any case dominated by the Boltzmann Brains).
It is guaranteed to converge and seems to be pretty harsh on BBs either. Here is how it works. Every "universe" is an infinite sequence of bits encoding a future light cone. The weight of the sequence is 2^{-K-complexity}. More precisely I sum over all programs producing such sequences and give weight 2^{-length} to each. Since sum of 2^-{length} over all programs is 1 I get a well-defined probability measures. Each sequence gets assigned a utility by a computable function that looks like integral over space-time with temporal discount. The temporal discount here can be fast e.g. exponential. So the utility function is bounded and its expectation value converges. However the effective temporal discount is slow since for every universe, its sub-light-cones are also within the sum. Nevertheless its not so slow that BBs come ahead. If you put the vertex of the light cone at any given point (e.g. time 4^^^^4) there will be few BBs within the fast cutoff time and most far points are suppressed due to high K-complexity.
No, it can be located absolutely anywhere. However you're right that the light cones with vertex close to Big Bang will probably have large weight to low K-complexity.
Ah, I see what you're getting at. If the vertex is at the Big Bang, then the shortest programs basically simulate a history of the observable universe. Just start from a description of the laws of physics and some (low entropy) initial conditions, then read in random bits whenever there is an increase in entropy. (For technical reasons the programs will also need to simulate a slightly lar...
The 'Irrationality Game' posts in discussion came before my time here, but I had a very good time reading the bits written in the comments section. I also had a number of thoughts I would've liked to post and get feedback on, but I knew that being buried in such old threads not much would come of it. So I asked around and feedback from people has suggested that they would be open to a reboot!
I hereby again quote the original rules:
I would suggest placing *related* propositions in the same comment, but wildly different ones might deserve separate comments for keeping threads separate.
Make sure you put "Irrationality Game" as the first two words of a post containing a proposition to be voted upon in the game's format.
Here we go!
EDIT: It was pointed out in the meta-thread below that this could be done with polls rather than karma so as to discourage playing-to-win and getting around the hiding of downvoted comments. If anyone resurrects this game in the future, please do so under that system If you wish to test a poll format in this thread feel free to do so, but continue voting as normal for those that are not in poll format.