Overview
This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics.
Full Product Details
Author: Alexander J. Zaslavski
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: Softcover reprint of hardcover 1st ed. 2006
Volume: 80
Dimensions:
Width: 15.50cm
, Height: 2.10cm
, Length: 23.50cm
Weight: 0.640kg
ISBN: 9781441939241
ISBN 10: 1441939245
Pages: 396
Publication Date: 23 November 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
From the reviews: The book is a compilation of the intensive work of the author on the turnpike property over the past 10 to 15 years ... . The book should be of interest not only to researchers in mathematical economics but also to those in optimal control theory and the calculus of variations whose interests lie in the structural properties of the long term behavior of optimal solutions. (Dean A. Carlson, Mathematical Reviews, Issue 2006 f) This monograph is dedicated to the study of the turnpike theory and is based mainly on the author,s results on the subject obtained in the last twenty years. ... The list of references has 112 items, 23 being papers of the author. It also contains a preface, an introduction and an index. The book addresses to mathematicians working in optimal control, calculus of variations, mathematical economics and game theory. (Constantin Zalinescu, Zentralblatt MATH, Vol. 1100 (2), 2007)
From the reviews: The book is a compilation of the intensive work of the author on the turnpike property over the past 10 to 15 years ! . The book should be of interest not only to researchers in mathematical economics but also to those in optimal control theory and the calculus of variations whose interests lie in the structural properties of the long term behavior of optimal solutions. (Dean A. Carlson, Mathematical Reviews, Issue 2006 f) This monograph is dedicated to the study of the turnpike theory and is based mainly on the author's results on the subject obtained in the last twenty years. ! The list of references has 112 items, 23 being papers of the author. It also contains a preface, an introduction and an index. The book addresses to mathematicians working in optimal control, calculus of variations, mathematical economics and game theory. (Constantin Zalinescu, Zentralblatt MATH, Vol. 1100 (2), 2007)
