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Optimal steady states, excessive functions, and deterministic dynamic programs. (English) Zbl 0697.90084

The paper deals with the undiscounted, deterministic, stationary dynamic programming model with state and action spaces being subsets of Euclidean spaces, bounded cost function, and infinite planning horizon. The author defines optimal steady states and discusses the relationship between them and Lagrangian saddle-points. Then he introduces excessive functions and characterizes by means of them optimal steady states.
Reviewer: A.Nowak

MSC:

90C39 Dynamic programming
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