Handbook of mathematical economics

著者

書誌事項

Handbook of mathematical economics

edited by Kenneth J. Arrow and Michael D. Intriligator

（Handbooks in economics, bk. 1）

North-Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science, 1981-1991

  • : set
  • v. 1
  • v. 2
  • v. 3
  • v. 4

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注記

Vol. 4. edited by Werner Hildenbrand and Hugo Sonnenschein

Includes bibliographies and indexes

内容説明・目次

巻冊次

v. 1 ISBN 9780444861269

内容説明

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.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

目次

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).
巻冊次

v. 2 ISBN 9780444861276

内容説明

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 2 elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

目次

Mathematical Approaches to Microeconomic Theory. Consumer theory (A.P. Barten, V. Boehm). Producers theory (M.I. Nadiri). Oligopoly theory (J.W. Friedman). Duality approaches to microeconomic theory (W.E. Diewert). On the microeconomic theory of investment under uncertainty (R.C. Merton). Market demand and excess demand functions (W. Shafer, H. Sonnenschein). Mathematical Approaches to Competitive Equilibrium. Existence of competitive equilibrium (G. Debreu). Stability (F. Hahn). Regular economies (E. Dierker). Core of an economy (W. Hildenbrand). Temporary general equilibrium theory (J.-M. Grandmont). Equilibrium under uncertainty (R. Radner). The computation of equilibrium prices: An exposition (H.E. Scarf).
巻冊次

v. 3 ISBN 9780444861283

内容説明

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 I 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. Volume II elaborates on Mathematical Approaches to Microeconomic Theory, including consumer, producer, oligopoly, and duality theory, as well as Mathematical Approaches to Competitive Equilibrium including such aspects of competitive equilibrium as existence, stability, uncertainty, the computation of equilibrium prices, and the core of an economy.

目次

Mathematical Approaches to Welfare Economics. Social choice theory (A. Sen). Information and the market (K.J. Arrow). The theory of optimal taxation (J.A. Mirrlees). Positive second-best theory (E. Sheshinski, K.P. Hagen). Optimal economic growth, turnpike theorems and comparative dynamics (L.W. McKenzie). Mathematical Approaches to Economic Organization and Planning. Organization design (T.A. Marschak). Incentive aspects of decentralization (L. Hurwicz). Planning (G. Heal).
巻冊次

v. 4 ISBN 9780444874610

内容説明

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. The emphasis of this fourth volume of the Handbook of Mathematical Economics is on choice under uncertainty, general equilibrium analysis under conditions of uncertainty, economies with an infinite number of consumers or commodities, and dynamical systems. The book thus reflects some of the ideas that have been most influential in mathematical economics since the appearance of the first three volumes of the Handbook.Researchers, students, economists and mathematicians will all find this Handbook to be an indispensable reference source. It surveys the entire field of mathematical economics, critically reviewing recent developments. The chapters (which can be read independently) are written at an advanced level suitable for professional, teaching and graduate-level use. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

目次

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. Benassy). 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).

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