Optimal Control Problems Related to the Robinson Solow Srinivasan Model (Monographs in Mathematical Economics, 4) free ebook download.

Home : Book details

Optimal Control Problems Related to the Robinson Solow Srinivasan Model (Monographs in Mathematical Economics, 4) free ebook download

Category:
Mathematics

Views: 612
Likes: 63

Catalogue

Author(s):	Alexander J. Zaslavski

Date:	2021	Format:	7z	Language:	English	ISBN/ASIN:	9811622515
Pages:	359	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	8/16/2021 6:00:50 AM

To download click on link in the Links Table below

Description: Click to see full description

This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the RobinsonSolowSrinivasan (RSS) model. The model was introduced in the 1960s by economists Joan Robinson, Robert Solow, and Thirukodikaval Nilakanta Srinivasan and was further studied by Robinson, Nobuo Okishio, and Joseph Stiglitz. Since then, the study of the RSS model has become an important element of economic dynamics. In this book, two large general classes of optimal control problems, both of them containing the RSS model as a particular case, are presented for study. For these two classes, a turnpike theory is developed and the existence of solutions to the corresponding infinite horizon optimal control problems is established.

The book contains 9 chapters. Chapter 1 discusses turnpike properties for some optimal control problems that are known in the literature, including problems corresponding to the RSS model. The first class of optimal control problems is studied in Chaps. 26. In Chap. 2, infinite horizon optimal control problems with nonautonomous optimality criteria are considered. The utility functions, which determine the optimality criterion, are nonconcave. This class of models contains the RSS model as a particular case. The stability of the turnpike phenomenon of the one-dimensional nonautonomous concave RSS model is analyzed in Chap. 3. The following chapter takes up the study of a class of autonomous nonconcave optimal control problems, a subclass of problems considered in Chap. 2. The equivalence of the turnpike property and the asymptotic turnpike property, as well as the stability of the turnpike phenomenon, is established. Turnpike conditions and the stability of the turnpike phenomenon for nonautonomous problems are examined in Chap. 5, with Chap. 6 devoted to the study of the turnpike properties for the one-dimensional nonautonomous nonconcave RSS model. The utility functions, which determine the optimality criterion, are nonconcave. The class of RSS models is identified with a complete metric space of utility functions. Using the Baire category approach, the turnpike phenomenon is shown to hold for most of the models. Chapter 7 begins the study of the second large class of autonomous optimal control problems, and turnpike conditions are established. The stability of the turnpike phenomenon for this class of problems is investigated further in Chaps. 8 and 9.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3024442	Book	https://nitro.download/view/62B5CA8FABAA...		0.00	maveriks

Tags: Control Economics Mathematical Model Monographs Optimal Problems Related Robinson

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment: