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Infinite horizon risk sensitive control of discrete time Markov processes with small risk

✍ Scribed by G.B.Di Masi; Ł. Stettner


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
96 KB
Volume
40
Category
Article
ISSN
0167-6911

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✦ Synopsis


A control problem with risk sensitive ergodic performance criterion is considered for a discrete time Feller process. Using assumptions of uniform ergodicity and small risk factor, the existence and uniqueness of the solution to the Bellman equation is proved. Uniform approximations to such solution in terms of discounted cost and discounted game problems are also shown.


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