<p>βMean field games and Mean field type control introduce new problems in Control Theory. The terminology βgamesβ may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems a
Mean Field Games
β Scribed by Yves Achdou, Pierre Cardaliaguet, FranΓ§ois Delarue, Alessio Porretta, Filippo Santambrogio
- Publisher
- Springer
- Year
- 2020
- Tongue
- English
- Leaves
- 316
- Series
- Lecture Notes in Mathematics 2281
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The first accessible and yet technically detailed introduction to mean-field game theory
Collects in one volume most of the PDE techniques developed in MFG theory
Includes a special chapter on numerical simulations, with applications to economics and crowd dynamics
β¦ Table of Contents
1 An Introduction to Mean Field Game Theory 1
2 Lecture Notes on Variational Mean Field Games 159
3 Master Equation for Finite State Mean Field Games with Additive Common Noise 203
4 Mean Field Games and Applications: Numerical Aspects 249
π SIMILAR VOLUMES
<p><p>This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions.</p>Volume
<p>The contents of this book comprises an appropriate background to start working and doing research on mean-field-type control and game theory. To make the exposition and explanation even easier, we first study the deterministic optimal control and differential linear-quadratic games. Then, we prog
<p><p>This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions.</p><p>Vol
<p>Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs,