On finite long run costs and rewards in infinite Markov chains
Hendrik Baumann and
Werner Sandmann
Statistics & Probability Letters, 2014, vol. 91, issue C, 41-46
Abstract:
Conditions for the finiteness of long run costs and rewards associated with infinite recurrent Markov chains that may be discrete or continuous in time are considered. Without resorting to results from the theory of Markov processes on general state spaces we provide instructive proofs in the course of which we derive auxiliary results that are of interest in themselves. Potential applications of the finiteness conditions are outlined in order to elucidate their high practical relevance.
Keywords: Infinite Markov chain; Finite long run cost; Finite long run reward; Foster–Lyapunov-type criterion; Drift condition (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:91:y:2014:i:c:p:41-46
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DOI: 10.1016/j.spl.2014.04.005
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