Game Theory

Michael Maschler was a Professor at the Einstein Institute of Mathematics and the Center for the Study of Rationality at the Hebrew University of Jerusalem, Israel. He greatly contributed to cooperative game theory and to repeated games with incomplete information. Eilon Solan is a Professor in the School of Mathematical Sciences at Tel Aviv University, Israel. The main topic of his research is repeated games. He serves on the editorial board of several academic journals. Shmuel Zamir is a Professor Emeritus in the Department of Statistics and the Center for the Study of Rationality at the Hebrew University of Jerusalem, Israel. The main topics of his research are games with incomplete information and auction theory. He is the editor-in-chief of the International Journal of Game Theory.

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.