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My response to Brems's comment on my paper is, I hope, obvious and straightforward.
First, it should be noted that in his section II, Brems is correct with one important exception. He is correct to note that the particular additive utility function in his equation (1) is not Cobb-Douglas. However, this correct conclusion does not imply, as Brems appears to believe it does, that it is impossible to write down an additive utility function which would generate the same indifference map, first-order conditions, and demand functions as a multiplicative Cobb-Douglas utility function