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math.OC2026
Abstract Dynamic Programming on Partially Ordered Spaces
Chengyuan Peng, John Stachurski, Jingni Yang
We study abstract dynamic programs on partially ordered spaces, pairing the order-theoretic approach to dynamic programming with topological and metric foundations. We show that re…
math.OC2026
Dynamic Programming in Ordered Vector Space
Nisha Peng, John Stachurski
New approaches to the theory of dynamic programming view dynamic programs as families of policy operators acting on partially ordered sets. In this paper, we extend these ideas by…