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Regularity Theory for Mean-Field Game Systems

Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity;

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Regularity Results for Nonlinear Elliptic Systems and Applications

This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential;

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Brakke s Mean Curvature Flow

This book explains the notion of Brakke's mean curvature flow and its existence and regularity theories without assuming familiarity with;

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Essays on Pareto Optimality in Cooperative Games

guaranteed cost control for uncertain mean-field stochastic systems, and the existence conditions of Pareto solutions in cooperative difference game;

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Mean Field Games

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;

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Dynamical Mean-Field Theory Approach for Ultracold Atomic Gases

in a harmonic trap. To study these systems we generalized dynamical mean-field theory for a mixture of fermions and bosons, as well as for an;

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Many Agent Games in Socio-Economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security

There has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field;

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Many Agent Games in Socio-economic Systems

There has been an increase in attention toward systems involving large numbers of small players, giving rise to the theory of mean field;

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Elliptic Regularity Theory: A First Course

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After;

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Analytic Semigroups and Optimal Regularity in Parabolic Problems

fifteen years. (...) For instance, optimal regularity results are a typical feature of abstract parabolic equations; they are comprehensively;

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A Hyper graph Regularity Method for Linear Hypergraphs

Szemeredi's Regularity Lemma is a powerful tool in Graph Theory, yielding many applications in areas such as Extremal Graph Theory;

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Stochastic Game Strategies and their Applications

Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making;

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Stochastic Game Strategies and their Applications

Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making;

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A Quest Towards a Mathematical Theory of Living Systems

theory of classical particles, with special emphasis on the Boltzmann equation; the Enskog equation, mean field models, and Monte Carlo methods;

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Harmonic Maps, Conservation Laws and Moving Frames

of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The;

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Probabilistic Theory of Mean Field Games with Applications I

solutions. Volume I of the book is entirely devoted to the theory of mean field games without a common noise. The first half of the volume;

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Active Particles, Volume 2

throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The;

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Game Theory for Networking Applications

This book provides recent results of game theory for networking applications. The contributors address the major opportunities and;

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Multiagent Systems

field offers a computer science perspective, but also draws on ideas from game theory, economics, operations research, logic, philosophy and;

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Game Theory and Learning for Wireless Networks

Written by leading experts in the field, Game Theory and Learning for Wireless Networks Covers how theory can be used to solve;

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p Laplace Equation in the Heisenberg Group

This works focuses on regularity theory for solutions to the p-Laplace equation in the Heisenberg group. In particular, it presents;

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Lectures In Game Theory For Computer Scientists

different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory;

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Advances in Dynamic and Mean Field Games

, these papers cover various aspects of dynamic game theory including mean-field games, stochastic and pursuit-evasion games, and computational;

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Out-of-Equilibrium Physics of Correlated Electron Systems

approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a;

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Out-of-Equilibrium Physics of Correlated Electron Systems

approach, then proceeds to more advanced methods, such as dynamical mean-field theory and master equation approaches. Lastly, it offers a;

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Second Order Parabolic Differential Equations

linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for;

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Lectures on Elliptic Partial Differential Equations

developments on partial regularity for systems and the theory of viscosity solutions.;

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