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

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

Editorial Reviews
ZENTRALBLATT MATH
"...very understandable... Especially, the motivations given at the beginning of all sections combined with historical remarks.."

Book Description
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.

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

Optima and Equilibria: An Introduction to Nonlinear Analysis (Graduate Texts in Mathematics),Jean-Pierre Aubin,S. Wilson,Springer,3540649832,Applied,Economics, Mathematical,Game Theory,General,Linear Programming,Mathematical Analysis,Mathematics,Nonlinear Programming,Nonlinear theories,Science/Mathematics,Applied mathematics,Equilibrium,Fermat rule,Functional analysis,Fuzzy games,Mathematics / Mathematical Analysis,Nash,Optimization,Pareto,Walras,convex analysis,cooperative and non cooperative games,cooperative and non-cooperative games,economic models,minimax,nonlinear analysis,nonsmooth analysis,positive eigenvalues and eigenvectors

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