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πŸ“

Mean Field Games

✍ Scribed by Yves Achdou, Pierre Cardaliaguet, François Delarue, Alessio Porretta, Filippo Santambrogio


Publisher
Springer
Year
2020
Tongue
English
Leaves
316
Series
Lecture Notes in Mathematics 2281
Category
Library

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✦ 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

✦ 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


πŸ“œ SIMILAR VOLUMES


Mean Field Games and Mean Field Type Con
✍ Alain Bensoussan, Jens Frehse, Phillip Yam (auth.) πŸ“‚ Library πŸ“… 2013 πŸ› Springer-Verlag New York 🌐 English

<p>​Mean field games and Mean field type control introduce new problems in Control Theory. The terminology β€œgames” 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

Probabilistic Theory of Mean Field Games
✍ RenΓ© Carmona,FranΓ§ois Delarue (auth.) πŸ“‚ Library πŸ“… 2018 πŸ› Springer International Publishing 🌐 English

<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

Mean-Field-Type Games for Engineers
✍ Julian Barreiro-Gomez, Hamidou Tembine πŸ“‚ Library πŸ“… 2021 πŸ› CRC Press 🌐 English

<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

Probabilistic Theory of Mean Field Games
✍ RenΓ© Carmona,FranΓ§ois Delarue (auth.) πŸ“‚ Library πŸ“… 2018 πŸ› Springer International Publishing 🌐 English

<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

Regularity Theory for Mean-Field Game Sy
✍ Diogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan (auth.) πŸ“‚ Library πŸ“… 2016 πŸ› Springer International Publishing 🌐 English

<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,