Mainstream Mathematical Economics in the 20th Century

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Springer Science & Business Media, Apr 5, 2000 - Business & Economics - 521 pages
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To write everything about nothing, or to write nothing about everything: this is the problem. (Anonym, circa 1996-97) The first idea to write a book on M athematical Economics, more or less ordered in a historical sequence, occurred to me in 1995, when I was asked, by Istituto delta Enciclopedia Italiana, to write the entry "Storia dell'economia 1 2 matematica" , for the collective work "Storia deI XX Secolo". I thought that it would be interesting to elaborate on the text presented to the editors, to turn it into a book aiming at giving a panorama of what, in my opinion, are the main 20th century contributions to mathematical eco nomics. Of course, only a narrow set of the contributions made by economic theorists could be included, both for space limitations and necessity, because 3 of the limited competence of any single author. For instance, I have paid very limited attention to what is now called Macroeconomics, and also to Game Theory, which actually has grown so much as to acquire scientific in dependence as a living branch of applied mathematics. For the same reason, I have also left completely untouched such fields as Mathematical Finance, Public Economics, Theory of Taxation, etc. I have always based my presentation on published material only, assuming that what is contained in working papers still waits to be confirmed, possibly in the first years of the 21th century.
  

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Contents

Cournot Walras and Edgeworth
3
Pareto and General Equilibrium
19
Classical General Equilibrium
29
Wald and Existence Proofs
45
Early Multisectoral Growth
55
Dynamic Modelling
61
Irving Fisher and Interest Theory
77
Widening General Equilibrium Theory
83
Regular Economies
235
Efficiency and Core Large Economies
253
Game Theory and Oligopoly
271
Social Choice and Welfare Economics
289
Macroeconomic Growth Theory
305
Multisectoral Growth Models
325
Optimal Growth
351
Intertemporal Individual Choices
369

Applied General Equilibrium
95
Walras cum Leontief
105
From Classical to Modern Analysis
117
Linear Programming and Extensions
133
Consumers Analysis
143
Firms Analysis
169
General Competitive Equilibrium
197
Stability and More
217
Dynamic General Equilibrium
379
Money in Dynamic General Equilibrium
409
Macroeconomic Asset Pricing
423
Incomplete Markets and Finance
437
Deterministic Chaos
457
A Look to the Future
465
Index
505
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