ENGLISH

Optima and Equilibria: An Introduction to Nonlinear Analysis

By Jean-Pierre Aubin (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
9783540649830, 3540649832
DOI
10.1007/978-3-662-03539-9
ISSN
0072-5285
LCC
QA427 .A9313 1998
Open Library ID
OL377234M
Language
english
Format
DJVU
Filesize
3 MB (2659014 bytes)
Series
Graduate Texts in Mathematics 140
Edition
2
Pages
433\458
Library
kolxoz
DPI
600
Time added
2009-07-20 03:45:11
Analysis; Economic Theory; Systems TheoryControl; Calculus of Variations and Optimal Contro

Description

Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particular, convex analysis. These theories motivated mathematicians to provide mathematical tools to deal with optima and equilibria. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its applications to economics and game theory, has written a rigorous and concise-yet still elementary and self-contained- text-book to present mathematical tools needed to solve problems motivated by economics, management sciences, operations research, cooperative and noncooperative games, fuzzy games, etc. It begins with convex and nonsmooth analysis,the foundations of optimization theory and mathematical programming. Nonlinear analysis is next presented in the context of zero-sum games and then, in the framework of set-valued analysis. These results are applied to the main classes of economic equilibria. The text continues with game theory: noncooperative (Nash) equilibria, Pareto optima, core and finally, fuzzy games. 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. -(See cont. News remarks)

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