Introduction to the Theory of Games
Concepts, Methods, Applications
(Sprache: Englisch)
Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering,...
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Klappentext zu „Introduction to the Theory of Games “
Game theory, defined in the broadest sense, is a collection of mathematical models designed for the analysis of strategic aspects of situations of conflict and cooperation in a broad spectrum of fields including economics, politics, biology, engineering, and operations research. This book, besides covering the classical results of game theory, places special emphasis on methods of determining `solutions' of various game models. Generalizations reaching beyond the `convexity paradigm' and leading to nonconvex optimization problems are enhanced and discussed in more detail than in standard texts on this subject. The development is theoretical-mathematical interspersed with elucidating interpretations and examples. Audience: The material in the book is accessible to PhD and graduate students and will also be of interest to researchers. Solid knowledge of standard undergraduate mathematics is required to read the book.
Inhaltsverzeichnis zu „Introduction to the Theory of Games “
Preface. Introduction. I: Noncooperative games1. Noncooperative games forms
2. Nash equilibria
3. Existence of Nash equilibrium
4. Uniqueness of Nash equilibrium
5. Mixed extensions of finite games
6. Computation of equilibria in mixed extensions of finite games
7. The oligopoly game
8. Two-person zero-sum games
9. Matrix games
10. Games played over the unit hypercube
11. Bimatrix games
12. Repeated games
13. Games with incomplete information. II: Cooperative games
14. Games in characteristic function form
15. The core
16. Stable sets
17. The nucleolus
18. The Shapley value
19. The kernel and the bargaining set
20. Game theory and cost allocation
21. Games without transferable utility
22. The Nash bargaining solution and its extensions
23. Two-person bargaining processes. Problems and exercises. Appendix. References. Index
Bibliographische Angaben
- Autoren: Ferenc Forgó , Jeno Szep , Ferenc Szidarovszky
- 2010, XII, 340 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441948112
- ISBN-13: 9781441948113
Sprache:
Englisch
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