This book provides a comprehensive introduction to stochastic control problems in discrete and continuous time. The material is presented logically, beginning with the discrete-time case using few mathematical tools before proceedingto the stochastic continuous-time models requiring more advanced mathematics.Topics covered include stochastic maximum principles for discrete time, continuous time, and for problems with terminal conditions. A nonstandard treatmentof piecewise deterministic problems, related to some control problems, is also presented. Numerous illustrative examples and exercises are included to enhance the understanding of the reader. By interlinking many fields in stochasticcontrol, the material gives the student the opportunity to see the connections between different fields and the underlying ideas that unify them.This text will be of benefit to students in economics, engineering, applied mathematics and related fields. Prerequisites include a course in calculus and elementary probability theory. INDICE: Preface.- Stochastic Control over Discrete Time.- The HJB Equationfor Deterministic Control.- Piecewise Deterministic Optimal Control Problems.- Control of Diffusions.- Appendix: Probability, Concepts, and Results.- Solutions.- References.- Index.
- ISBN: 978-1-4419-4569-3
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 31/07/2012
- Nº Volúmenes: 1
- Idioma: Inglés