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Optimal stationary policies inrisk-sensitive dynamic programs with finite state spaceand nonnegative rewards

Rolando Cavazos-Cadena, Raúl Montes-de-Oca (2000)

Applicationes Mathematicae

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This work concerns controlled Markov chains with finite state space and nonnegative rewards; it is assumed that the controller has a constant risk-sensitivity, and that the performance ofa control policy is measured by a risk-sensitive expected total-reward criterion. The existence of optimal stationary policies isstudied within this context, and the main resultestablishes the optimalityof a stationary policy achieving the supremum in the correspondingoptimality equation, whenever the...