Introduction to the Theory of Games: Concepts, Methods, Applications: 32 - Rilegato

Forgó, Ferenc; Szidarovszky, Ferenc; Szép, Jeno

Rilegato

ISBN 10: 0792357752 ISBN 13: 9780792357759

Casa editrice: Springer-Verlag GmbH, 1999

Riassunto

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.

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Contenuti

Preface. Introduction. I: Noncooperative games. 1. 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.

Product Description

Book by Forg Ferenc Szp Jeno Szidarovszky Ferenc

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0792357752
• ISBN 13: 9780792357759
• Rilegatura: Copertina rigida
• Numero di pagine: 356
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania