Optima and equilibria an introduction to nonlinear analysis Jean-Pierre Aubin. Graduate texts in mathematics 140.

Aubin, Jean-Pierre:

ISBN 10: 3540521216 / ISBN 13: 9783540521211

Published by Berlin, Springer-Verl [1993]., 1993

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 90 AUB 9783540521211 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2501596

Bibliographic Details

• Title: Optima and equilibria an introduction to nonlinear analysis Jean-Pierre Aubin. Graduate texts in mathematics 140.
• Publisher: Berlin, Springer-Verl [1993].
• Publication Date: 1993
• Language: English
• ISBN 10: 3540521216
• ISBN 13: 9783540521211
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

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."