Item description for Optima and Equilibria: An Introduction to Nonlinear Analysis (Graduate Texts in Mathematics) by Jean-Pierre Aubin...
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.
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Est. Packaging Dimensions: Length: 1" Width: 9.5" Height: 6.5" Weight: 1.75 lbs.
Release Date Nov 18, 2002
ISBN 3540649832 ISBN13 9783540649830
Availability 0 units.
More About Jean-Pierre Aubin
Aubin, University of Paris-Dauphine, France.
Jean-Pierre Aubin currently resides in Paris. Jean-Pierre Aubin has an academic affiliation as follows - Dauphine University of Paris Univ. of Paris-Dauphine Univ. of Paris-Da.