Abstract
"Covering both noncooperative and cooperative games, this comprehensive introduction to game theory also includes some advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings and the bargaining set. Mathematically oriented, the book presents every theorem alongside a proof. The material is presented clearly and every concept is illustrated with concrete examples from a broad range of disciplines. With numerous exercises the book is a thorough and extensive guide to game theory from undergraduate through graduate courses in economics, mathematics, computer science, engineering and life sciences to being an authoritative reference for researchers"--Provided by publisher.
Contents: Acknowledgments -- Notations -- Introduction -- 1. The game of chess -- 2. Utility theory -- 3. Extensive-form games -- 4. Strategic-form games -- 5. Mixed strategies -- 6. Behavior strategies and Kuhn's theorem -- 7. Equilibrium refinements -- 8. Correlated equilibria -- 9. Games with incomplete information and common priors -- 10. Games with incomplete information: the general model -- 11. The universal belief space -- 12. Auctions -- 13. Repeated games -- 14. Repeated games with vector payoffs -- 15. Bargaining games -- 16. Coalitional games with transferable utility -- 17. The core -- 18. The Shapley value -- 19. The bargaining set -- 20. The nucleolus -- 21. Social choice -- 22. Stable matching -- 23. Appendices -- Index
Contents: Acknowledgments -- Notations -- Introduction -- 1. The game of chess -- 2. Utility theory -- 3. Extensive-form games -- 4. Strategic-form games -- 5. Mixed strategies -- 6. Behavior strategies and Kuhn's theorem -- 7. Equilibrium refinements -- 8. Correlated equilibria -- 9. Games with incomplete information and common priors -- 10. Games with incomplete information: the general model -- 11. The universal belief space -- 12. Auctions -- 13. Repeated games -- 14. Repeated games with vector payoffs -- 15. Bargaining games -- 16. Coalitional games with transferable utility -- 17. The core -- 18. The Shapley value -- 19. The bargaining set -- 20. The nucleolus -- 21. Social choice -- 22. Stable matching -- 23. Appendices -- Index
| Original language | English |
|---|---|
| Place of Publication | Cambridge |
| Publisher | Cambridge University Press |
| Number of pages | 979 |
| ISBN (Print) | 0511794215, 1107005485, 1107314054, 9780511794216, 9781107005488, 9781107314054 |
| State | Published - 2013 |