I meant that the bet is offered to the copy in the Milky Way and that he knows he is in the Milky Way. This is the right analogy with the "large civilizations" problem since we know we're in a small civilization.
Well we currently observe that we are in a small civilisation (though we could be in a zoo or simulation or whatever). But to assess the hypotheses in question we have to (in essence) forget that observation, create a prior for small universe versus big universe hypotheses, see what the hypotheses predict we should expect to observe, and then update when we "notice" the observation.
Alternatively, if you adopt the UDT approach, you have to consider what utility function you'd have before knowing whether you are in a big civilization or not. What would the "you" then like to commit the "you" now to deciding?
If you think you'd care about average utility in that original situation then naturally the small civilisations will get less weight in outcomes where there are big civilisations as well. Whereas if there are only small civilisations, they get all the weight. No difficulties there.
If you think you'd care about total utility (so the small civs get equal weight regardless) then be carefully that it's bounded somehow. Otherwise you are going to have a known problem with expected utilities diverging (see http://lesswrong.com/lw/fg7/sia_fears_expected_infinity/).
It doesn't change anything in principle. You just added another coin toss before the original coin toss which affects the odd of the latter.
A metaphorical coin with unknown (or subjectively-assigned) odds is quite a different beast from a physical coin with known odds (based on physical facts). You can't create crazy-sounding conclusions with metaphorical coins (i.e. situations where you bet at million to 1 odds, despite knowing that the coin toss was a fair one.)
...If you think you'd care about average utility in that original situation then naturally the small civilisations will get less weight in outcomes where there are big civilisations as well. Whereas if there are only small civilisations, they get all the weight. No difficulties there.
If you think you'd care about total utility (so the small civs get equal weight regardless) then be carefully that it's bounded somehow. Otherwise you are going to have a known problem with expected utilities diverging (see http://lesswrong.com/lw/fg7/sia_fears_expected_infinity
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.