Here are two sources taken from the Wikipedia article under "Probability" related to this issue: http://en.wikipedia.org/wiki/Many-worlds_interpretation
1) Adrian Kent, "Against Many-Worlds Interpretations": http://arxiv.org/pdf/gr-qc/9703089v1.pdf
2) N.P. Landsman, "The Born rule and its interpretation": http://www.math.ru.nl/~landsman/Born.pdf



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So a paper written in 1989 that ignores 24 years worth of literature on a subject means that it's the subject that "has still not answered that challenge?" Wow... Well, I might as well cite the very first papers on QM to show that it has still not answered the challenges of General Relativity! That said, I already agreed that MWI can't derive the Born Rule in a generally acceptable way, but this is not imputing the attempts out there being made. Someone could've already hit on the right answer, but that paper would have no idea as it hasn't covered any attempts in the last quarter century! 