Risk-Sensitive and Average Optimality in Markov Decision Processes

Result code in IS VaVaI
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Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Risk-Sensitive and Average Optimality in Markov Decision Processes
Original language description
This contribution is devoted to the risk-sensitive optimality criteria in finite state Markov Decision Processes. At first, we rederive necessary and sufficient conditions for average optimality of (classical) risk-neutral unichain models. This approachis then extended to the risk-sensitive case, i.e., when expectation of the stream of one-stage costs (or rewards) generated by a Markov chain is evaluated by an exponential utility function. We restrict ourselves on irreducible or unichain Markov modelswhere risk-sensitive average optimality is independent of the starting state. As we show this problem is closely related to solution of (nonlinear) Poissonian equations and their connections with nonnegative matrices.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of 30th International Conference Mathematical Methods in Economics 2012
ISBN
978-80-7248-779-0
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
799-804
Publisher name
Silesian University in Opava, School of Busines Administration in Karviná
Place of publication
Karviná
Event location
Karviná
Event date
Sep 11, 2012
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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