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solipsist comments on Harry Potter and the Methods of Rationality discussion thread, part 23, chapter 94 - Less Wrong
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It seems to me that your proposal is equivalent to the "malicious genie has granted you a wish" problem. There are so many ways to construct stable time loops which don't involve getting a pony that you've exceedingly unlikely to get one. You can precommit to whatever you want, but the answer may be as simple as being unable to achieve your committed goal due to bad information.
I completely agree. For the question at hand, committing to not steal the Marauders Map will not magically cause the Marauders Map to not be stolen. There are too many other ways to make a stable time loops -- too many "wishes gone wrong" -- for that sort of Newcomb-like pre-committing to work the way you want it to.