Optima and Equilibria An Introduction to
โ Aubin, Jean-Pierre
๐ Library
๐
2010
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Optima and Equilibria: An Introduction to Nonlinear Analysis
โ Scribed by Jean-Pierre Aubin, S. Wilson
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Leaves
- 458
- Series
- Graduate Texts in Mathematics
- Edition
- 2nd
- Category
- Library
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โฆ Synopsis
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. 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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โ Martin Schechter
๐ Library
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๐ Cambridge University Press
๐ English
The techniques used to solve nonlinear problems differ greatly from those dealing with linear features. Deriving all the necessary theorems and principles from first principles, this textbook gives upper undergraduates and graduate students a thorough understanding using as little background materia