Clarke Differentials and the Envelope Theorem in Dynamic Programming

Fuente: arXiv
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Main Author: Hosoya, Yuhki
Format: Preprint
Published: 2025
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_version_ 1866917106032836608
author Hosoya, Yuhki
author_facet Hosoya, Yuhki
contents In this paper, we consider a deterministic dynamic programming model, and derive the envelope theorem using the Clarke differential. Compared with previous research, we do not require differentiability, convexity, or boundedness.
format Preprint
id arxiv_https___arxiv_org_abs_2509_17103
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Clarke Differentials and the Envelope Theorem in Dynamic Programming
Hosoya, Yuhki
Optimization and Control
Theoretical Economics
90C39, 91B55
In this paper, we consider a deterministic dynamic programming model, and derive the envelope theorem using the Clarke differential. Compared with previous research, we do not require differentiability, convexity, or boundedness.
title Clarke Differentials and the Envelope Theorem in Dynamic Programming
topic Optimization and Control
Theoretical Economics
90C39, 91B55
url https://arxiv.org/abs/2509.17103