Theory and application of a variety of mathematical techniques in economics are presented in this volume. Topics discussed include: martingale methods, stochastic processes, optimal stopping, the modeling of uncertainty using a Wiener process, ItO's Lemma as a tool of stochastic calculus, and basic facts about stochastic differential equations. The notion of stochastic ability and the methods of stochastic control are discussed, and their use in economic theory and finance is illustrated with numerous applications.

The applications covered include: futures, pricing, job search, stochastic...

The compendium of papers in this volume focuses on aspects of economic uncertainty, financial instabilities and asset bubbles. Economic uncertainty is modeled in continuous time using the mathematical techniques of stochastic calculus. A detailed treatment of important topics is provided, including the existence and uniqueness of asymptotic economic growth, the modeling of inflation and interest rates, the decomposition of inflation and its volatility, and the extension of the quantity theory of money to allow for randomness. The reader is also introduced to the methods of chaotic dynamics,...