Selected Topics On Continuous-time Controlled Markov Chains And Markov Games
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A01=Onesimo Hernandez-lerma
A01=Tomas Prieto-rumeau
Author_Onesimo Hernandez-lerma
Author_Tomas Prieto-rumeau
Category=PBT
Category=PBWL
Continuous-Time Controlled Markov Chains
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Markov Decision Processes
Stochastic Dynamic Programming
Stochastic Games
Product details
- ISBN 9781848168480
- Publication Date: 19 Mar 2012
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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This book concerns continuous-time controlled Markov chains, also known as continuous-time Markov decision processes. They form a class of stochastic control problems in which a single decision-maker wishes to optimize a given objective function. This book is also concerned with Markov games, where two decision-makers (or players) try to optimize their own objective function. Both decision-making processes appear in a large number of applications in economics, operations research, engineering, and computer science, among other areas.An extensive, self-contained, up-to-date analysis of basic optimality criteria (such as discounted and average reward), and advanced optimality criteria (e.g., bias, overtaking, sensitive discount, and Blackwell optimality) is presented. A particular emphasis is made on the application of the results herein: algorithmic and computational issues are discussed, and applications to population models and epidemic processes are shown.This book is addressed to students and researchers in the fields of stochastic control and stochastic games. Moreover, it could be of interest also to undergraduate and beginning graduate students because the reader is not supposed to have a high mathematical background: a working knowledge of calculus, linear algebra, probability, and continuous-time Markov chains should suffice to understand the contents of the book.
