Overview

This book presents the contributions of the 20th century to economic theory in a mathematical language and in historical sequence. General equilibrium is the focal point of the book; but also a number of macroeconomic models, especially with respect to the first half of the century, are considered. Dynamic models are extensively studied per se, and not merely as extensions of their static counterparts. The book with its extensive bibliography gives a broad view over the developments in mathematical economics and is therefore an invaluable source of information for researchers and students working in this field.

Full Product Details

Author:   PierCarlo Nicola
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2000 ed.
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 23.50cm
Weight:   2.070kg
ISBN:  

9783540670841

ISBN 10:   354067084
Pages:   521
Publication Date:   05 April 2000
Audience:   College/higher education ,  General/trade ,  Postgraduate, Research & Scholarly ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Prolegomena: Cournot, Walras, and Edgeworth.- Preliminary.- Cournot`s Main Contributions.- Walras` Contributions to General Equilibrium.- Edgeworth`s Theory of the Core.- The Founding Years: 1900 - 1949: Pareto and General Equilibrium.- Preliminary.- General Equilibrium.- Monopolies into General Equilibrium.- Pareto`s Efficiency.- Pareto`s Italian Main Followers.- Classical General Equilibrium.- Preliminary.- Technologies.- Firms.- Utilities.- Households.- Classical General Equilibrium.- Wald and Existence Proofs.- Preliminary.- Wald`s Equations.- Wald`s Proof.- Wald`s Subsequent Elaborations.- Early Game Theory.- Introduction.- Defining a Game.- Subsequent Elaborations.- Early Multisectoral Growth.- Introduction.- Von Neumann`s Balanced Growth Model.- The Existence of Solutions.- Properties of Solutions.- Conclusion.- Dynamic Modelling.- Introduction.- Evan`s Dynamic Monopoly.- Ramsey`s Macroeconomic Model.- Ezekiel`s Cobweb Model.- Volterra`s Struggle for Life.- Mathematical Appendix.- Irving Fisher and Interest Theory.- Introduction.- Individual Wantability or Utility.- Determining Interest Rates.- Fisher`s Second Approximation.- Conclusion.- Widening General Equilibrium Theory.- Introduction.- Temporary Equilibrium.- A Temporary Equilibrium Model.- Expectations and Stability.- La Volpe`s Contribution.- Stability Analysis.- Applied General Equilibrium.- Introduction.- An Open Leontief`s Model.- Prices, Profits and the Wage Rate.- Some Accountancy.- Compatibility of Exogenous Data.- Extensions, Finesses, and Formalism: 1950 on: Walras 'cum' Leontief.- Introduction.- Positivity of Input-Output Solutions.- The non Substitution Theorem.- A Walras-Leontief`s Economy.- Sraffa`s Contribution.- Mathematical Appendix.- From Classical to Modern Analysis.- Introduction.- Linear Spaces.- Topological Spaces and Metric Spaces.- Linear Topological Spaces.- Normed Spaces and Banach`s Spaces.- Hilbert`s Spaces.- Convexity.- Multifunctions.- Degree Theory and Fixed Points.- Linear Programming and Extensions.- Introduction.- Linear Programming.- Lagrangian Functions.- Convex Programming.- Consumer`s Analysis.- Preliminary.- Consumption Sets.- Preference Relations.- Ordinal Utility Functions.- Budget Set.- The Consumer`s Problem.- Differentiability of u.- Expenditure and Indirect Utility.- Comparative Statics Analysis.- Observed Demand and Utility.- NM`s Expected Utility.- Firm`s Analysis.- Preliminary.- Production Sets.- Production Relations and Functions.- The Competitive Firm`s Problem.- Differentiable Techniques.- Comparative Statics.- Cost-Production Duality.- Monopoly and Monopsony.- Other Market Forms.- The Principal-Agent Problem.- General Competitive Equilibrium.- Introduction.- Some 'Meta-Assumptions'.- Goods.- Agents.- General Competitive Equilibrium.- Boundedness of the Economy.- The Existence of a General Equilibrium.- The Law of Demand and Supply.- Non Convexity and Approximate Equilibrium.- On Excess Demand Functions.- More on the Law of Demand.- Rationing.- Conclusion.- Stability and More.- Introduction.- Discrete versus Continuous Time.- The Stability Problem.- Stability Properties.- Other Adjustment Processes.- Excess Demand Multifunctions.- Computation of Equilibria.- Applied General Equilibrium.- Mathematical Appendix.- Regular Economies.- Introduction.- Differentiability Again.- Walras` Multifunction.- Properties of Walras` Multifunction.- The Projection Map.- Mathematical Appendix.- Efficiency and Core. Large Economies.- Introduction.- Pareto`s Efficiency.- Core of an Economy.- Large Economies.- Mathematical Appendix.- Game Theory and Oligopoly.- Preliminary.- Classifying Games.- Nash`s Solution.- Non-Dynamic Oligopoly Theory.- The Dynamic Oligopoly Theory.- Oligopoly and General Equilibrium.

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