Mean-Field-Type Game Theory I : Foundations and New Directions / by Tamer Başar, Boualem Djehiche, Hamidou Tembine.

Format:

Book

Author/Creator:

Başar, Tamer.

Series:

Static & Dynamic Game Theory: Foundations & Applications, 2363-8524

Language:

English

Subjects (All):

Mathematics--Philosophy.

Mathematics.

Automatic control.

Econometrics.

Telecommunication.

Philosophy of Mathematics.

Control and Systems Theory.

Quantitative Economics.

Communications Engineering, Networks.

Local Subjects:

Philosophy of Mathematics.

Control and Systems Theory.

Quantitative Economics.

Communications Engineering, Networks.

Physical Description:

1 online resource (1486 pages)

Edition:

1st ed. 2026.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2026.

Summary:

Mean-Field-Type Game Theory I is the first of two volumes that together form a comprehensive treatment of mean-field-type game theory and applications, focused on finding state-of-the-art solutions to issues surrounding the next generation of cloud social networking, smart energy systems, transportation and wireless networks. The text shows how mean-field-type game theory provides the ideal framework for designing robust, accurate and efficient algorithms for the autonomous and distributed architectures on which future cities and networks will rely to improve the efficiency and flexibility, security and quality of life. This first volume enables readers to develop a solid understanding of mean-field-type game theory. It covers key theoretical results such as the stochastic maximum principle and dynamic programming in both discrete and continuous time. The book also covers a wide range of techniques for modeling, designing and analyzing risk and uncertainties using game theory, as well as state-of-the-art distributed mean-field learning algorithm techniques. Mean-Field-Type Game Theory I: Foundations and New Directions is an ideal resource for academic researchers, and advanced undergraduate and graduate students, surveying basic ideas and advanced topics.

Contents:

Part 1. Discrete State Markov Games of Mean-Field Type

Chapter 1. One-Shot Mean-Field-Type Games

Chapter 2. Markov Games

Chapter 3. Mean-Field-Type Games with Discrete State Spaces

Part 2. Equilibrium Principles

Chapter 4. Stochastic Maximum Principle

Chapter 5. Dynamic Programming Principle

Part 3. Classes of Mean-Field-Type Games

Chapter 6. Non Asymptotic Mean-Field-Type Games

Chapter 7. Linear-Quadratic Mean-Field and Mean-Field-Type Differential Games

Chapter 8. Mean-Field-Type Games with Jump and Regime Switching

Chapter 9. MASS: Master Adjoint Systems

Chapter 10. Semi-Explicit Solutions in Non-Quadratic Mean-Field-Type Games

Chapter 11. Stackelberg Mean-Field-Type Games

Chapter 12. Mean-Field-Type Games Driven by Rosenblatt Noises

Chapter 13. Mean-Field-Type Games with Asymmetric Information

Chapter 14. Difference Games of Mean-Field Type

Part 4. Wrap-up

Chapter 15. Conclusions and New Directions.

ISBN:

3-032-07027-9

9783032070272

OCLC:

1573145544