ENGLISH

The theory of linear economic models

By David Gale

Book information

Publisher
University of Chicago Press
Year
1989
ISBN
9780226278841, 0226278840
ASIN
B000IAQYHU
LCC
HB141 .G326 1989
Open Library ID
OL2059402M
Language
english
Format
DJVU
Filesize
3 MB (2835122 bytes)
Edition
MGH
Pages
352\352
Topic
Economy
Library
Kolxo3
DPI
600
Time added
2009-07-20 03:45:11

Description

In the past few decades, methods of linear algebra have become central to economic analysis, replacing older tools such as the calculus. David Gale has provided the first complete and lucid treatment of important topics in mathematical economics which can be analyzed by linear models. This self-contained work requires few mathematical prerequisites and provides all necessary groundwork in the first few chapters. After introducing basic geometric concepts of vectors and vector spaces, Gale proceeds to give the main theorems on linear inequalities—theorems underpinning the theory of games, linear programming, and the Neumann model of growth. He then explores such subjects as linear programming; the theory of two-person games; static and dynamic theories of linear exchange models, including problems of equilibrium prices and dynamic stability; and methods of play, optimal strategies, and solutions of matrix games. This book should prove an invaluable reference source and text for mathematicians, engineers, economists, and those in many related areas.

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