Mathematical Programming: Series A and B
Discounted MDP's: distribution functions and exponential utility maximization
SIAM Journal on Control and Optimization
Target-level criterion in Markov decision processes
Journal of Optimization Theory and Applications
Optimization by Vector Space Methods
Optimization by Vector Space Methods
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We consider utility-constrained Markov decision processes. The expected utility of the total discounted reward is maximized subject to multiple expected utility constraints. By introducing a corresponding Lagrange function, a saddle-point theorem of the utility constrained optimization is derived. The existence of a constrained optimal policy is characterized by optimal action sets specified with a parametric utility.