I would like advocates of TDT, UDT, etc, to comment on the following scenario.
Suppose I think of a possible world where there is a version of Genghis Khan who thinks of this version of me. Then I imagine Genghis imagining my responses to his possible actions. Finally I imagine him agreeing to not kill everyone in the next country he invades, if I commit to building a thirty-meter golden statue of him, in my world. Then I go and build the statue, feeling like a great humanitarian because I saved some lives in another possible world.
My questions are: Is this crazy? If so, why is it crazy? And, is there an example of similar reasoning that isn't crazy?
I'm not an advocate (or detractor) of those decision theories, but the answer that immediately appears to me is to question what drew this particular scenario to your attention out of all possible scenarios. Abstractly, the scenario is that in some possible world, someone doing X prevented disaster Y. For which X and Y should I therefore do X, even if disaster Y cannot occur in this world?
Somehow, you obtained the bits necessary to pull from possibility space the instance X = build a golden statue of Genghis Khan and Y = Genghis Khan in another world stops...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.