Dual static CVaR decompositions suffer from a CVaR evaluation gap caused by empty intersections in risk-assignment consistency constraints, and no single policy can be optimal across all risk levels in some MDPs.
Filar, Yuanlie Lin, and Lieneke Spanjers
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On the Fundamental Limitations of Dual Static CVaR Decompositions in Markov Decision Processes
Dual static CVaR decompositions suffer from a CVaR evaluation gap caused by empty intersections in risk-assignment consistency constraints, and no single policy can be optimal across all risk levels in some MDPs.