Optima and Equilibria: An Introduction to Nonlinear Analysis: Vol 140 (Graduate Texts in Mathematics) - Tapa dura

Aubin, J.P.

 
9783540521211: Optima and Equilibria: An Introduction to Nonlinear Analysis: Vol 140 (Graduate Texts in Mathematics)
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ISBN 10: 3540521216 ISBN 13: 9783540521211
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

Sinopsis

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.

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Críticas

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."

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Año de publicación
1993
Idioma
Inglés
ISBN 10 
3540521216
ISBN 13 
9783540521211
Encuadernación
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Número de páginas
415
Contacto del fabricante
no disponible
Persona responsable
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Alemania

Otras ediciones populares con el mismo título

9783540649830: Optima and Equilibria: An Introduction to Nonlinear Analysis: 140 (Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  3540649832 ISBN 13:  9783540649830
Editorial: Springer, 2002
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