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Vector-valued Markov decision processes and the systems of linear inequalities

Kazuyoshi Wakuta

Stochastic Processes and their Applications, 1995, vol. 56, issue 1, 159-169

Abstract: For a vector-valued Markov decision process, we characterize optimal (deterministic) stationary policies by systems of linear inequalities and present an algorithm for finding all optimal stationary policies from among all randomized, history-remembering ones. The algorithm consists of improving the policies and of checking the optimality of a policy by solving the associated system of linear inequalities via Fourier elimination.

Keywords: Dynamic; programming; Markov; decision; process; Multiobjective; Linear; inequalities; Fourier; elimination (search for similar items in EconPapers)
Date: 1995
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Citations: View citations in EconPapers (1)

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