TY  - GEN
N2  - This compact and original exposition of optimal control theory and applications is designed for graduate and advanced undergraduate students in economics. It presents a new elementary yet rigorous proof of the maximum principle and a new way of applying the principle that will enable students to solve any one-dimensional problem routinely. Its unified framework illuminates many famous economic examples and models. This work also emphasizes the connection between optimal control theory and the classical themes of capital theory. It offers a fresh approach to fundamental questions such as: What is income? How should it be measured? What is its relation to wealth? The book will be valuable to students who want to formulate and solve dynamic allocation problems. It will also be of interest to any economist who wants to understand results of the latest research on the relationship between comprehensive income accounting and wealth or welfare.Table of Contents: Preface Introduction Part I. Introduction to the Maximum Principle 1. The Calculus of Variations and the Stationary Rate of Return on Capital 2. The Prototype-Economic Control Problem 3. The Maximum Principle in One Dimension 4. Applications of the Maximum Principle in One Dimension Part II. Comprehensive Accounting and the Maximum Principle 5. Optimal Multisector Growth and Dynamic Competitive Equilibrium 6. The Pure Theory of Perfectly Complete National Income Accounting 7. The Stochastic Wealth and Income Version of the Maximum Principle References Index
DO  - 10.4159/9780674045071
DO  - doi
AB  - This compact and original exposition of optimal control theory and applications is designed for graduate and advanced undergraduate students in economics. It presents a new elementary yet rigorous proof of the maximum principle and a new way of applying the principle that will enable students to solve any one-dimensional problem routinely. Its unified framework illuminates many famous economic examples and models. This work also emphasizes the connection between optimal control theory and the classical themes of capital theory. It offers a fresh approach to fundamental questions such as: What is income? How should it be measured? What is its relation to wealth? The book will be valuable to students who want to formulate and solve dynamic allocation problems. It will also be of interest to any economist who wants to understand results of the latest research on the relationship between comprehensive income accounting and wealth or welfare.Table of Contents: Preface Introduction Part I. Introduction to the Maximum Principle 1. The Calculus of Variations and the Stationary Rate of Return on Capital 2. The Prototype-Economic Control Problem 3. The Maximum Principle in One Dimension 4. Applications of the Maximum Principle in One Dimension Part II. Comprehensive Accounting and the Maximum Principle 5. Optimal Multisector Growth and Dynamic Competitive Equilibrium 6. The Pure Theory of Perfectly Complete National Income Accounting 7. The Stochastic Wealth and Income Version of the Maximum Principle References Index
T1  - Income, Wealth, and the Maximum Principle /
AU  - Weitzman, Martin L., 
JF  - HUP eBook-Package Backlist 2000-2013 (Canada)
JF  - Harvard University Press eBook Package Backlist 2000-2013
LA  - eng
LA  - In English.
ID  - 1478777
KW  - Economic development
KW  - Economics
KW  - Mathematical optimization.
KW  - Maximum principles (Mathematics).
KW  - National income
KW  - Wealth
KW  - BUSINESS & ECONOMICS / Economics / Theory.
SN  - 9780674045071
TI  - Income, Wealth, and the Maximum Principle /
LK  - https://univsouthin.idm.oclc.org/login?url=https://www.degruyter.com/isbn/9780674045071
UR  - https://univsouthin.idm.oclc.org/login?url=https://www.degruyter.com/isbn/9780674045071
ER  -