Mathematical foundations of game theory / Rida Laraki, Jérôme Renault, Sylvain Sorin.
2019
QA269
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Mathematical foundations of game theory / Rida Laraki, Jérôme Renault, Sylvain Sorin.
Author
Laraki, Rida, author.
ISBN
9783030266462 (electronic book)
303026646X (electronic book)
9783030266455
303026646X (electronic book)
9783030266455
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource (xvii, 229 pages) : illustrations.
Item Number
10.1007/978-3-030-26646-2 doi
10.1007/978-3-030-26
10.1007/978-3-030-26
Call Number
QA269
Dewey Decimal Classification
519.3
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 20, 2019).
Added Author
Renault, Jérôme, author.
Sorin, Sylvain, author.
Sorin, Sylvain, author.
Series
Universitext, 0172-6675
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources
Table of Contents
1 Introduction
2 Zero-Sum Games: the Finite Case
3 Zero-Sum Games: the General Case
4 N-Player games: Rationality and Equilibria
5 Equilibrium Manifolds and Dynamics
6 Games in Extensive Form
7 Correlated Equilibria, Learning, Bayesian Equilibria
8 Introduction to Repeated Games
9 Solutions to the Exercises
References.
2 Zero-Sum Games: the Finite Case
3 Zero-Sum Games: the General Case
4 N-Player games: Rationality and Equilibria
5 Equilibrium Manifolds and Dynamics
6 Games in Extensive Form
7 Correlated Equilibria, Learning, Bayesian Equilibria
8 Introduction to Repeated Games
9 Solutions to the Exercises
References.