"All of the surveys in this book are written by recognized leaders in their respective areas of mathematical economics.... The editors of the Handbook have been remarkably successful in recruiting distinguished authors and in inducing them to write careful and detailed surveys." --Journal of the American Statistical Association"Readers who are mathematically equipped will find this Handbook the most effective tool of gaining access to the economics of discipline and the research problems that are being actively pursued." --Zeitschrift für Operations Research: Series A-Theory"it will serve for many years as a definitive source, reference, and teaching supplement for this field of mathematical economics." --Optima"This is a superb collection of related papers on various topics in mathematical economics written by people who are at once good expositors and leaders in their field.The authors and editors are to be congratulated for bringing together in one place a collection of papers that do a remarkable job of summarizing the state-of-the-very-fast-moving-art." --Mathematical Reviews

• Uncertainty. Incomplete markets (M. Magill, W. Shafer). The theory of value in security markets (D. Duffie). Sunspot equilibria in sequential markets models (P.A. Chiappori, R. Guesnerie). Utility theory with uncertainty (E. Karni, D. Schmeidler). Infinite Economies. Equilibrium theory in infinite dimensional spaces (A. Mas-Colell, W.R. Zame). Overlapping generations (J. Geanakoplos, H. Polemarchakis). Non-Convexity and Imperfect Competition. Equilibrium analysis with non-convex technologies (D. Brown). Monopolistic competition (J.-P. Bénassy). Computation and Mathematical Methods. Computation and multiplicity of equilibria (T. Kehoe). Nonstandard analysis with applications to economics (B. Anderson). Nonlinear dynamical systems: Instability and chaos in economics (W.A. Brock, W.D. Dechert).