Stochastic Optimization in Continuous Time [Hardcover]

This is an introduction to stochastic control theory with applications to economics, first published in 2004.This is an introduction to stochastic control theory with applications to economics. Most of the existing books on this subject are written for students in mathematics or in finance. For those who are interested in the relevance and applications of this mathematical machinery to economics, there must be a thorough and concise resource for learning. This book is designed for that purpose. The mathematical methods are discussed intuitively and illustrated with economic examples. More importantly, the mathematical concepts are introduced in language and terminology familiar to graduate students in economics.This is an introduction to stochastic control theory with applications to economics. Most of the existing books on this subject are written for students in mathematics or in finance. For those who are interested in the relevance and applications of this mathematical machinery to economics, there must be a thorough and concise resource for learning. This book is designed for that purpose. The mathematical methods are discussed intuitively and illustrated with economic examples. More importantly, the mathematical concepts are introduced in language and terminology familiar to graduate students in economics.Most of the current books on stochastic control theory are written for students in mathematics or finance. This introduction is designed, however, for those interested in the relevance and applications of the theory's mathematical principles to economics. Therefore, mathematical methods are discussed intuitively and illustrated with economic examples. More importantly, mathematical concepts are introduced in language and terminology familiar to graduate students in economics.List of figures; Preface; 1. Probability theory; 2. Wiener processes; 3. Stochastic calculus; 4. Stochastic dynamic programming; 5. How to solve it; 6. Boundaries and absorbing barrl#i