Ebook: Introduction to Mathematical Economics
- Tags: Economics general, Game Theory Economics Social and Behav. Sciences
- Year: 1978
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Our objectives may be briefly stated. They are two. First, we have sought to provide a compact and digestible exposition of some sub-branches of mathematics which are of interest to economists but which are underplayed in mathematical texts and dispersed in the journal literature. Second, we have sought to demonstrate the usefulness of the mathematics by providing a systematic account of modern neoclassical economics, that is, of those parts of economics from which jointness in production has been excluded. The book is introductory not in the sense that it can be read by any high-school graduate but in the sense that it provides some of the mathematics needed to appreciate modern general-equilibrium economic theory. It is aimed primarily at first-year graduate students and final-year honors students in economics who have studied mathematics at the university level for two years and who, in particular, have mastered a full-year course in analysis and calculus. The book is the outcome of a long correspondence punctuated by periodic visits by Kimura to the University of New South Wales. Without those visits we would never have finished. They were made possible by generous grants from the Leverhulme Foundation, Nagoya City University, and the University of New South Wales. Equally indispensible were the expert advice and generous encouragement of our friends Martin Beckmann, Takashi Negishi, Ryuzo Sato, and Yasuo Uekawa.
Content:
Front Matter....Pages i-vi
Linear Inequalities....Pages 1-73
Nonnegative Matrices....Pages 74-87
Some Special Matrices....Pages 88-114
Stability Analysis of Some Dynamic Systems....Pages 115-175
Neoclassical Economies—Statics....Pages 176-196
Neoclassical Economies—Dynamics....Pages 197-218
Back Matter....Pages 219-249
Content:
Front Matter....Pages i-vi
Linear Inequalities....Pages 1-73
Nonnegative Matrices....Pages 74-87
Some Special Matrices....Pages 88-114
Stability Analysis of Some Dynamic Systems....Pages 115-175
Neoclassical Economies—Statics....Pages 176-196
Neoclassical Economies—Dynamics....Pages 197-218
Back Matter....Pages 219-249
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