Clarke Differentials and the Envelope Theorem in Dynamic Programming
Optimization and Control
2025-11-27 v2 Theoretical Economics
Abstract
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.
Keywords
Cite
@article{arxiv.2509.17103,
title = {Clarke Differentials and the Envelope Theorem in Dynamic Programming},
author = {Yuhki Hosoya},
journal= {arXiv preprint arXiv:2509.17103},
year = {2025}
}