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arXiv · 2308.02148

Dynamic Programs on Partially Ordered Sets

Thomas J. Sargent·John Stachurski
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Abstract

We introduce a framework that represents a dynamic program as a family of operators acting on a partially ordered set. We provide an optimality theory based only on order-theoretic assumptions and show how applications across almost all subfields of dynamic programming fit into this framework. These range from traditional dynamic programs to those involving nonlinear recursive preferences, desire for robustness, function approximation, Monte Carlo sampling and distributional dynamic programs. We apply the framework to establish new optimality and algorithmic results for specific applications.

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Thomas J. Sargent, John Stachurski. 2023-08-04. Dynamic Programs on Partially Ordered Sets. https://arxiv.org/abs/2308.02148

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