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arXiv · 1106.0242

Nonapproximability Results for Partially Observable Markov Decision Processes

J. Goldsmith·C. Lusena·M. Mundhenk
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Abstract

We show that for several variations of partially observable Markov decision processes, polynomial-time algorithms for finding control policies are unlikely to or simply don't have guarantees of finding policies within a constant factor or a constant summand of optimal. Here "unlikely" means "unless some complexity classes collapse," where the collapses considered are P=NP, P=PSPACE, or P=EXP. Until or unless these collapses are shown to hold, any control-policy designer must choose between such performance guarantees and efficient computation.

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J. Goldsmith, C. Lusena, M. Mundhenk. 2011-06-01. Nonapproximability Results for Partially Observable Markov Decision Processes. https://doi.org/10.1613/jair.714

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