Handbook of Mathematical Economics [Hardcover]

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. Volume 1 deals with Mathematical Methods in Economics, including reviews of the concepts and techniques that have been most useful for the mathematical development of economic theory.

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Historical introduction. Mathematical Methods in Economics. Mathematical analysis and convexity, with applications to economics (J. Green, W.P. Heller). Mathematical programming, with applications to economics (M.D. Intriligator). Dynamical systems, with applications to economics (H.R. Varian). Control theory, with applications to economics (D. Kendrick). Measure theory with applications to economics (A.P. Kirman). The economics of uncertainty: Selected topics and probabilistic methods (S.A. Lippman, J.J. McCall). Game theory models and methods in political economy (M. Shubik). Global analysis and economics (S. Smale).
Kenneth Arrow is the Joan Kenney Professor of Economics and Professor of Operations Research, emeritus; a CHP/PCOR fellow; and an FSI senior fellow by courtesy. He is the joint winner of the Nobel Memorial Prize in Economics with John Hicks in 1972. To date, he is the youngest person to have received this award, at 51. In economics, he is a figure inlS$