I'm afraid I can't help you with this one. I'm not familiar with rank discrimination indexes for multinomial models. What I was thinking of is how well the model discriminates each level of the outcome from all other levels. (I'm assuming your multinomial outcome is not ordinal--if it is then you can just look at Somers D.) Applying -roctab- command separately to an indicator of each outcome level against your model's "xb" will give you that.
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