Stochastic Control and Mathematical Modeling: Applications in Economics (Encyclopedia of Mathematics and its Applications)

by Hiroaki Morimoto

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Book cover for Stochastic Control and Mathematical Modeling

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This is a concise and elementary introduction to stochastic control and mathematical modelling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the Hamilton-Jacobi-Bellman (HJB) equation with boundary conditions. Major mathematical prerequisites are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.
  • ISBN13 9781139087353
  • Publish Date 7 September 2011 (first published 1 January 2010)
  • Publish Status Active
  • Out of Print 6 June 2022
  • Publish Country GB
  • Publisher Cambridge University Press
  • Imprint Cambridge University Press (Virtual Publishing)
  • Format eBook
  • Language English