ENGLISH

Optima and equilibria: an introduction to nonlinear analysis

By Jean-Pierre Aubin , S. Wilson

Book information

Publisher
Springer
Year
1998
ISBN
3540649832, 9783540649830
LCC
QA427 .A9313 1998
Open Library ID
OL377234M
Language
english
Format
DJVU
Filesize
2 MB (2089312 bytes)
Series
Graduate texts in mathematics 140
Edition
2nd
Pages
459\459
Library
Kolxo3
DPI
400
Time added
2009-07-20 03:45:11

Description

Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.

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