Lately I have been interested in the many-worlds interpretation, and in particular the way it is described by Wallace in his latest book The Emergent Multiverse. In the book he tries (or succeeds) to derive the Born rule from unitary dynamics by using game-theoretic arguments. But for this he uses decoherence to explain the emergence of different branches. I have read criticism that decoherence itself relies on the assumption of the Born-rule, by stating that the low probability outcomes vanish. Thus it seems that Wallace's argument is circular. The criticism seems pretty straightforward and I think Wallace must have thought of this too, but I am not sure how he or other MWI-proponents resolve this issue. Can someone shed some light on how this is resolved, if it is resolved?