Abstract

In 1991 this author published a book entitled, From Catastrophe to Chaos: A General Theory of Economic Discontinuities with Kluwer Academic Publishers. Due to the con troversial and unusual nature of this book’s content, there was considerable difficulty in getting publishers to agree to publish it prior to its being accepted by Kluwer. Initially conceived as a heterodox challenge to established economic thinking, this book became viewed by many readers as a reference volume on applications of nonlinear dynamics in general to many fields of economics. Now, in 2000 Volume 1 of the second edition has appeared from Kluwer also, subtitled, Mathematics, Microeconomics, Macroeconomics, and Finance. It covers in expanded form the material contained in the first eight chapters of the first edition. What is this book about and how does the new edition differ from the first one? The underlying philosophy presented is that discontinuities are important objects of study in economics, indeed in many disciplines beyond economics as well. Although discontinuities may arise dynamically due to random exogenous shocks, the more truly interesting ones are those that arise endogenously from dynamical economic systems. In dynamical systems discontinuities can arise endogenously in the presence of nonlinearities in the systems. Thus, the more general topic of nonlinear dynamics in..