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.

In the pages of this intriguing volume, a cure to stagflation seems to be at hand. Martin L. Weitzman, one of America’s leading economic theorists, has hit upon a central feature of our economic life as the cause of this chronic malady: the standard practice of paying workers a fixed wage, regardless of whether a company is doing well or poorly. Weitzman shows in a clear straightforward way that an alternative labor payment system, in which a significant number of firms share profits or revenues with their employees (like the Japanese bonus system), provides immunity against stagflation; an economy of such firms automatically soaks up unemployed labor and resists inflation.

Under the Weitzman system, firms always have an incentive to take on more workers because the additional worker is paid only a fraction or share of the revenue he brings into the firm. General Motors and Eastern Airlines have already taken steps to implement profit and revenue sharing. Here, for the first time, is a lucid explanation and justification of share systems. Eschewing theoretically unsound schemes such as supply-side tax cuts and industrial policy on the one hand and macroeconomic sledgehammer “cures” on the other, The Share Economy provides a powerful and hopeful account of what may become the most important economic innovation of our time.