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Clarke Differentials and the Envelope Theorem in Dynamic Programming

Published 21 Sep 2025 in math.OC and econ.TH | (2509.17103v1)

Abstract: In this paper, we consider a deterministic dynamic programming model, and derive the envelope theorem using the Clarke differential. Compared with past research, the requirements for our result are weaker, and do not include differentiability, convexity, and boundedness.

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