Game Theory

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Cambridge University Press, Mar 21, 2013 - Business & Economics - 979 pages
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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.
 

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Contents

The game of chess
1
Extensiveform games
39
strategic form
82
Mixed strategies
144
Behavior strategies and Kuhns Theorem
219
Correlated equilibria
300
Games with incomplete information and common priors
319
the general model
386
Coalitional games with transferable utility
659
The core
686
The Shapley value
748
The bargaining set
782
The nucleolus
801
Social choice
853
Stable matching
884
Appendices
916

Auctions
461
Repeated games
519
Repeated games with vector payoffs
569
Bargaining games
622

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About the author (2013)

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.

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.

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.

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