Mean Field Games: Cetraro, Italy 2019: Lecture Notes in Mathematics, cartea 2281
Autor Yves Achdou, Pierre Cardaliaguet, François Delarue, Alessio Porretta, Filippo Santambrogioen Limba Engleză Paperback – 20 ian 2021
Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio.
These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
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Specificații
ISBN-13: 9783030598365
ISBN-10: 3030598365
Pagini: 310
Ilustrații: VII, 310 p. 13 illus. in color.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.49 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries
Locul publicării:Cham, Switzerland
ISBN-10: 3030598365
Pagini: 310
Ilustrații: VII, 310 p. 13 illus. in color.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.49 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seriile Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries
Locul publicării:Cham, Switzerland
Cuprins
- An Introduction to Mean Field Game Theory. - Lecture Notes on Variational Mean Field Games. - Master Equation for Finite State Mean Field Games with Additive Common Noise. - Mean Field Games and Applications: Numerical Aspects.
Textul de pe ultima copertă
This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents.
Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio.
These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.
Caracteristici
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