Finite Approximations in Discrete-time Stochastic Control : Quantized Models and Asymptotic Optimality
Saldi, Naci; Linder, Tamás; Yüksel, Serdar
ISBN 10: 3030077101 ISBN 13: 9783030077105
Editorial: Birkhäuser, 2019
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N° de ref. del artículo 35117915-n
Sinopsis:
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.
This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
De la contraportada: In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.
This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
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Detalles bibliográficos
Título: Finite Approximations in Discrete-time ...
Editorial: Birkhäuser
Año de publicación: 2019
Encuadernación: Encuadernación de tapa blanda
Condición: New
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ISBN 13: 9783030077105
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Taschenbuch. Condición: Neu. Finite Approximations in Discrete-Time Stochastic Control | Quantized Models and Asymptotic Optimality | Naci Saldi (u. a.) | Taschenbuch | vii | Englisch | 2019 | Birkhäuser | EAN 9783030077105 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 116531348
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 208 pp. Englisch. Nº de ref. del artículo: 9783030077105
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ISBN 10: 3030077101
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions. Nº de ref. del artículo: 9783030077105
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Finite Approximations in Discrete-Time Stochastic Control
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ISBN 10: 3030077101
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