Optima and Equilibria: An Introduction to Nonlinear Analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1998
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Graduate Texts in Mathematics
140 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particular, convex analysis. These theories motivated mathematicians to provide mathematical tools to deal with optima and equilibria. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its applications to economics and game theory, has written a rigorous and concise-yet still elementary and self-contained- text-book to present mathematical tools needed to solve problems motivated by economics, management sciences, operations research, cooperative and noncooperative games, fuzzy games, etc. It begins with convex and nonsmooth analysis,the foundations of optimization theory and mathematical programming. Nonlinear analysis is next presented in the context of zero-sum games and then, in the framework of set-valued analysis. These results are applied to the main classes of economic equilibria. The text continues with game theory: noncooperative (Nash) equilibria, Pareto optima, core and finally, fuzzy games. 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. -(See cont. News remarks) |
| Beschreibung: | 1 Online-Ressource (XVII, 433 p) |
| ISBN: | 9783662035399 9783642084461 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-3-662-03539-9 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| spelling | Aubin, Jean-Pierre Verfasser aut Optima and Equilibria An Introduction to Nonlinear Analysis by Jean-Pierre Aubin Second Edition Berlin, Heidelberg Springer Berlin Heidelberg 1998 1 Online-Ressource (XVII, 433 p) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 140 0072-5285 Advances in game theory and economic theory have proceeded hand in hand with that of nonlinear analysis and in particular, convex analysis. These theories motivated mathematicians to provide mathematical tools to deal with optima and equilibria. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its applications to economics and game theory, has written a rigorous and concise-yet still elementary and self-contained- text-book to present mathematical tools needed to solve problems motivated by economics, management sciences, operations research, cooperative and noncooperative games, fuzzy games, etc. It begins with convex and nonsmooth analysis,the foundations of optimization theory and mathematical programming. Nonlinear analysis is next presented in the context of zero-sum games and then, in the framework of set-valued analysis. These results are applied to the main classes of economic equilibria. The text continues with game theory: noncooperative (Nash) equilibria, Pareto optima, core and finally, fuzzy games. 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. -(See cont. News remarks) Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Economics Operations research Analysis Economic Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Mathematik Wirtschaft Optimierung (DE-588)4043664-0 gnd rswk-swf Gleichgewichtstheorie (DE-588)4071876-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Gleichgewicht (DE-588)4121372-5 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Spieltheorie (DE-588)4056243-8 s Gleichgewichtstheorie (DE-588)4071876-1 s Nichtlineare Analysis (DE-588)4177490-5 s 2\p DE-604 Gleichgewicht (DE-588)4121372-5 s Mathematisches Modell (DE-588)4114528-8 s 3\p DE-604 Optimierung (DE-588)4043664-0 s 4\p DE-604 https://doi.org/10.1007/978-3-662-03539-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aubin, Jean-Pierre Optima and Equilibria An Introduction to Nonlinear Analysis Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Economics Operations research Analysis Economic Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Mathematik Wirtschaft Optimierung (DE-588)4043664-0 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd Gleichgewicht (DE-588)4121372-5 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4071876-1 (DE-588)4114528-8 (DE-588)4177490-5 (DE-588)4121372-5 (DE-588)4056243-8 (DE-588)4151278-9 |
| title | Optima and Equilibria An Introduction to Nonlinear Analysis |
| title_auth | Optima and Equilibria An Introduction to Nonlinear Analysis |
| title_exact_search | Optima and Equilibria An Introduction to Nonlinear Analysis |
| title_full | Optima and Equilibria An Introduction to Nonlinear Analysis by Jean-Pierre Aubin |
| title_fullStr | Optima and Equilibria An Introduction to Nonlinear Analysis by Jean-Pierre Aubin |
| title_full_unstemmed | Optima and Equilibria An Introduction to Nonlinear Analysis by Jean-Pierre Aubin |
| title_short | Optima and Equilibria |
| title_sort | optima and equilibria an introduction to nonlinear analysis |
| title_sub | An Introduction to Nonlinear Analysis |
| topic | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Economics Operations research Analysis Economic Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Mathematik Wirtschaft Optimierung (DE-588)4043664-0 gnd Gleichgewichtstheorie (DE-588)4071876-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd Gleichgewicht (DE-588)4121372-5 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Systems theory Mathematical optimization Economics Operations research Analysis Economic Theory Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Mathematik Wirtschaft Optimierung Gleichgewichtstheorie Mathematisches Modell Nichtlineare Analysis Gleichgewicht Spieltheorie Einführung |
| url | https://doi.org/10.1007/978-3-662-03539-9 |
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