Optima and equilibria : an introduction to nonlinear analysis
著者
書誌事項
Optima and equilibria : an introduction to nonlinear analysis
（Graduate texts in mathematics, 140）
Springer-Verlag, c1993
- : gw
- : us
- タイトル別名
-
L'analyse non linéaire et ses motivations économiques ; Exercices d'analyse non linéaire
大学図書館所蔵 全116件
注記
Includes bibliographical references (p. [409]-411) and subject index
Original French ed. published: Masson, c1984 and c1987
内容説明・目次
内容説明
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.
「Nielsen BookData」 より