Mathematical Foundations of Game Theory

• Main Authors: Laraki, Rida (Author, http://id.loc.gov/vocabulary/relators/aut), Renault, Jérôme (http://id.loc.gov/vocabulary/relators/aut), Sorin, Sylvain (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Universitext,
• Subjects: Game theory.; Mathematical optimization.; Mathematics.; Social sciences.; Game Theory, Economics, Social and Behav. Sciences.; Game Theory.; Optimization.; Mathematics in the Humanities and Social Sciences.

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 val...

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. .