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Selected topics on continuous-time controlled Markov chains and Markov games.

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Prieto-Rumeau, Tomás
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Singapore ; Hackensack, NJ : Imperial College Press ; Distributed by World Scientific Publishing Co., ©2012.
Colección:Imperial College Press advanced texts in mathematics ; v. 5.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Selected topics on continuous-time controlled Markov chains and Markov games. 
260 |a London :  |b Imperial College Press ;  |a Singapore ;  |a Hackensack, NJ :  |b Distributed by World Scientific Publishing Co.,  |c ©2012. 
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588 0 |a Online resource; title from digital title page (viewed May 24, 2012). 
520 |a 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 o. 
505 0 |a Preface; Contents; 1. Introduction; 1.1 Preliminary examples; 1.1.1 A controlled population system; 1.1.2 A prey-predator game model; 1.2 Overview of the book; 1.3 Contents; 1.4 Notation; 2. Controlled Markov Chains; 2.1 Introduction; 2.2 The control model; 2.3 Existence of controlled Markov chains; 2.4 Exponential ergodicity; 2.5 Proof of Theorem 2.11; 2.6 Conclusions; 3. Basic Optimality Criteria; 3.1 Introduction; 3.2 The finite horizon case; 3.3 The infinite horizon discounted reward; 3.3.1 Definitions; 3.3.2 The discounted reward optimality equation; 3.3.3 The uniformization technique. 
504 |a Includes bibliographical references (pages 265-274) and index. 
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