Vladimir_Nesov comments on A problem with Timeless Decision Theory (TDT) - Less Wrong
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There is also a case where X is an anticopy (performs opposite action), which argues for defecting in the same manner.
Edit: This reply is wrong.
No it doesn't. If X is an anticopy, the situation can't be real and your action doesn't matter.
Why can't it be real?
Because Omega has told you that X's action is the same as yours.
OK.