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MixedNuts comments on A Mathematical Explanation of Why Charity Donations Shouldn't Be Diversified - Less Wrong Discussion
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You're assuming consistent preferences over the whole relevant set of (A,B)s, which violates things like sacred-unsacred value tradeoff taboos. You're further assuming continuity of preference levels, which... is probably true with a bit of interpolation. You're also assuming that the amount to divide between charities is fixed.
Overall I'm not sure this convinces anyone who previously wasn't.