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An Approximate Solution Method for Large Risk-Averse Markov Decision Processes

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arxiv 1210.4901 v1 pith:ERUL6F2X submitted 2012-10-16 q-fin.PM cs.AIcs.GT

classification q-fin.PMcs.AIcs.GT
keywords methodrisk-aversedecisionlargemarkovproblemprocessesrisk
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Stochastic domains often involve risk-averse decision makers. While recent work has focused on how to model risk in Markov decision processes using risk measures, it has not addressed the problem of solving large risk-averse formulations. In this paper, we propose and analyze a new method for solving large risk-averse MDPs with hybrid continuous-discrete state spaces and continuous action spaces. The proposed method iteratively improves a bound on the value function using a linearity structure of the MDP. We demonstrate the utility and properties of the method on a portfolio optimization problem.

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  1. A Bayesian Composite Risk Approach for Stochastic Optimal Control and Markov Decision Processes

    math.OC 2024-12 conditional novelty 6.0 of 10

    The paper proposes Bayesian composite risk stochastic control and MDP models with belief-dependent policies, and proves dynamic programming and asymptotic convergence results.

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