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Envelope Theorems in Dynamic Programming

Fuan Zhao () and Adi Ben-Israel ()

Annals of Operations Research, 2001, vol. 101, issue 1, 383-390

Abstract: The envelope theorem is a statement about derivatives along an optimal trajectory. In dynamic programming the envelope theorem can be used to characterize and compute the optimal value function from its derivatives. We illustrate this here for the linear-quadratic control problem, the resource allocation problem, and the inverse problem of dynamic programming. Copyright Kluwer Academic Publishers 2001

Keywords: envelope theorem; dynamic programming; resource allocation; inverse problem (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1010978103974

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