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The Envelope Theorem - University of Arizona

The Envelope Theorem - University of Arizona

www.u.arizona.edu

Here’s the Envelope Theorem for nvariables and mparamters: The Envelope Theorem: Assume that f : Rn Rm!R is a C1-function, and consider the maximization problem max x2Rn f(x; ). If the solution function x^ : Rm!Rn is di erentiable on an open set U Rm, then the partial derivatives of the value function satisfy @v

  Theorem, Envelope, The envelope theorem, S the envelope theorem

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