Bias Optimality versus Strong 0-Discount Optimality in Markov Control Processes with Unbounded Costs |
| |
Authors: | Nadine Hilgert Onésimo Hernández-Lerma |
| |
Institution: | (1) Laboratoire d'Analyse des Systèmes et de Biométrie, INRA-ENSA.M, 2 place Viala, 34060 Montpellier Cedex 1, France;(2) Departamento de Matemáticas, CINVESTAV-IPN, Apartado Postal 14-740, México D.F, 07000, México |
| |
Abstract: | This paper deals with expected average cost (EAC) and discount-sensitive criteria for discrete-time Markov control processes on Borel spaces, with possibly unbounded costs. Conditions are given under which (a) EAC optimality and strong –1-discount optimality are equivalent; (b) strong 0-discount optimality implies bias optimality; and, conversely, under an additional hypothesis, (c) bias optimality implies strong 0-discount optimality. Thus, in particular, as the class of bias optimal policies is nonempty, (c) gives the existence of a strong 0-discount optimal policy, whereas from (b) and (c) we get conditions for bias optimality and strong 0-discount optimality to be equivalent. A detailed example illustrates our results. |
| |
Keywords: | Markov control processes Borel state space average cost bias optimality strong 0-discount optimality |
本文献已被 SpringerLink 等数据库收录! |
|