Kniha Stochastic Control Theory Makiko Nisio

Stochastic Control Theory

Dynamic Programming Principle

Autor: Makiko Nisio
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
1 643
This book provides an introduction to stochastic controls, via the method of dynamic programming, fo...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2014
Stránek
250
EAN
9784431551225
ISBN
4431551220
Enbook ID
02747774
Hmotnost
538
Rozměry
162 x 245 x 20

Kompletní popis

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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