Mathematical Foundations of Game Theory
Language: English
Published by Springer Nature Switzerland AG, CH, 2019
Series: Book 234 of 261 - Universitext
- Softcover
- New
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Add to basketItem description from seller
This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text.Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text.Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.…
Seller Inventory # LU-9783030266455
- Title
- Mathematical Foundations of Game Theory
- Author
- Rida Laraki, Jérôme Renault, Sylvain Sorin
- Publisher
- Springer Nature Switzerland AG, CH
- Publication year
- 2019
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3030266451
- ISBN 13
- 9783030266455
- Edition
- 2019 ed.
- Dimensions
- 15.49 x 1.42 x 23.5 cm
- Series
- Book 234 of 261: Universitext
"Synopsis" may belong to another edition of this title.
About the Author
Sylvain Sorin graduated in 1976 from the École Normale Supérieure de Saint Cloud and received his Doctorat d'État in 1981 from UPMC-Paris VI. He has been professor at Université L. Pasteur (Strasbourg ; 1985-1990), Université Paris X-Nanterre (1990-2000), and is currently at UPMC-Paris VI (now Sorbonne Université). He has given game theory courses in several institutions in France (ENA, ENSAE, École Polytechnique, …) and was invited professor on several occasions, including at IMSSS (Stanford), Core (Louvain), IAS (Jerusalem), MSRI (Berkeley), IDS (Stony Brook), CRIDT (Jerusalem), IMPA (Rio), CMM (Santiago), CRM (Barcelona), and HIM (Bonn). His contributions include: supergames, stochastic and incomplete information games, merging and reputation, approachability, learning algorithms, stochastic approximation and game dynamics… He has been editor in chief of the International Journal of Game Theory and area editor for game theory for the journal Mathematics of Operations Research. He is a fellow of the Game Theory Society and of the Econometric Society. He gave the von Neumann lecture at the congress of the GTS (Maastricht, 2016). He is the co-author, with J.-F. Mertens and S. Zamir, of the book Repeated Games, Cambridge U.P. (2015).
"About the title" may belong to another edition of this title.
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