Introduction to the Theory of Games : Concepts, Methods, Applications (Nonconvex Optimization and Its Applications (Closed))

Forgo, Ferenc/ Szep, Jeno/ Szidarovszky, Ferenc

Springer（2010/11発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 352 p.
• 言語 ENG
• 商品コード 9781441948113
• DDC分類 519

Full Description

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.

Contents

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.