Optima and Equilibria : An Introduction to Nonlinear Analysis

Jean-Pierre Aubin

ISBN 10: 3540521216 / ISBN 13: 9783540521211

Published by Springer Berlin Heidelberg, 2002

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 99811/202

Bibliographic Details

• Title: Optima and Equilibria : An Introduction to Nonlinear Analysis
• Publisher: Springer Berlin Heidelberg
• Publication Date: 2002
• Language: English
• ISBN 10: 3540521216
• ISBN 13: 9783540521211
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

About this title

Synopsis

Progress in the theory of economic equilibria and 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 yet 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, co-operative and non-co-operative games, fuzzy games, etc. It begins with the foundations of optimization theory and mathematical programming, in particular convex and non-smooth analysis. Nonlinear analysis is presented, first game-theoretically, and then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The text continues with game theory, non-co-operative (Nash) equilibria, Pareto optima and finally some fuzzy game theory. The book closes with numerous exercises and problems.

Review

From the reviews: MATHEMATICAL REVIEWS" provides a concise and self-contained exposition of the fundamental results both in the theory and its applications Overall, the book presents a fundamental introduction to nonlinear analysis and its economic and game-theoretic applications. It can serve as a basic textbook for students and researchers interested in these areas."