Optimality of Deterministic Policies for Certain Stochastic Control Problems with Multiple Criteria and Constraints

Eugene A. Feinberg ()
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Eugene A. Feinberg: State University of New York at Stony Brook

A chapter in Mathematical Control Theory and Finance, 2008, pp 137-148 from Springer

Abstract: Summary For single-criterion stochastic control and sequential decision problems, optimal policies, if they exist, are typically nonrandomized. For problems with multiple criteria and constraints, optimal nonrandomized policies may not exist and, if optimal policies exist, they are typically randomized. In this paper we discuss certain conditions that lead to optimality of nonrandomized policies. In the most interesting situations, these conditions do not impose convexity assumptions on the action sets and reward functions.

Keywords: Optimal Policy; Markov Decision Process; Reward Function; Average Reward; Total Reward (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69532-5_8

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DOI: 10.1007/978-3-540-69532-5_8

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