Książka Stochastic Control Theory Makiko Nisio

Stochastic Control Theory

Dynamic Programming Principle

Autor: Makiko Nisio
Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-18 dni
288.79
This book provides an introduction to stochastic controls, via the method of dynamic programming, fo...

Informacje o książce

Autor
Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2014
strony
250
EAN
9784431551225
ISBN
4431551220
Enbook ID
02747774
Waga
538
Wymiary
162 x 245 x 20

Pełny opis

This book provides an introduction to stochastic controls, via the method of dynamic programming, formulated by nonlinear semigroup. The dynamic programming principle, originated by R. Bellman in 1950s, is known as the two stage optimization procedure and gives a powerful tool to analyze stochastic control problems. Through the dependence of value function on its terminal cost function, we construct a nonlinear two parameter semigroup which formulates the dynamic programming principle and whose generator provides Hamilton--Jacobi--Bellman equation. Here we mainly concerned with finite time horizon stochastic controls. But we also apply the semigroup approach to control-stopping problems and stochastic differential games together with examples in financial market models. This book is organized as follows. Chapters 1--4 deal with completely observable finite dimensional controlled diffusions. Chapters 5 and 6 are concerned with Hilbert space valued stochastic processes, related to partially observable control problems.

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