Optima and Equilibria: An Introduction to Nonlinear Analysis - Couverture rigide

Aubin, Jean-Pierre

 
9783540649830: Optima and Equilibria: An Introduction to Nonlinear Analysis
Couverture rigide
ISBN 10 : 3540649832 ISBN 13 : 9783540649830
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 2002

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
2002
Langue
anglais
ISBN 10 
3540649832
ISBN 13 
9783540649830
Reliure
Relié
Numéro d'édition
2
Nombre de pages
433
Coordonnées du fabricant
non disponible
Personne responsable
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Autres éditions populaires du même titre

9783642084461: Optima and Equilibria: An Introduction To Nonlinear Analysis (Graduate Texts In Mathematics)

Edition présentée

ISBN 10 :  364208446X ISBN 13 :  9783642084461
Editeur : Springer, 2010
Couverture souple