Probabilistic Theory of Mean Field Games with Applications I

From MaRDI portal
Publication:5347088

DOI10.1007/978-3-319-58920-6zbMath1422.91014OpenAlexW2791784110MaRDI QIDQ5347088

François Delarue, René A. Carmona

Publication date: 22 May 2017

Published in: Probability Theory and Stochastic Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58920-6




Related Items (only showing first 100 items - show all)

Extended Mean Field Games with Singular ControlsA Random-Supply Mean Field Game Price ModelExtended Mckean-Vlasov optimal stochastic control applied to smart grid management,Robust Mean Field Linear Quadratic Social Control: Open-Loop and Closed-Loop StrategiesForward Utility and Market Adjustments in Relative Investment-Consumption Games of Many PlayersLarge Sample Mean-Field Stochastic OptimizationRate of homogenization for fully-coupled McKean–Vlasov SDEsOptimal Execution with Identity OptionalityLinear-quadratic mean field games of controls with non-monotone dataFinite Dimensional Approximations of Hamilton–Jacobi–Bellman Equations for Stochastic Particle Systems with Common NoiseOn numerical approximations of fractional and nonlocal mean field gamesMcKean-Vlasov BSDEs with locally monotone coefficientMean–field moral hazard for optimal energy demand response managementA mean‐field game approach to equilibrium pricing in solar renewable energy certificate marketsA sufficient condition for optimal control problem of fully coupled forward‐backward stochastic systems with jumps: A state‐constrained control approachIsomorphism Properties of Optimality and Equilibrium Solutions Under Equivalent Information Structure Transformations: Stochastic Dynamic Games and TeamsMean-field stochastic differential equations with a discontinuous diffusion coefficientKullback–Leibler-Quadratic Optimal ControlAn Algebraic Convergence Rate for the Optimal Control of McKean–Vlasov DynamicsOptimal control problems in transport dynamics with additive noiseMean field games with absorption and common noise with a model of bank runA class of dimension-free metrics for the convergence of empirical measuresEvolution of Mixed Strategies in Monotone GamesPartially observed discrete-time risk-sensitive mean field gamesStochastic Mitra-Wan forestry models analyzed as a mean field optimal control problemSome Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger EquationsDynamical Systems and Hamilton–Jacobi–Bellman Equations on the Wasserstein Space and their L2 RepresentationsDistribution dependent reflecting stochastic differential equationsSynchronization in a Kuramoto mean field gameMean-Field Sparse Optimal Control of Systems with Additive White NoiseA stochastic goodwill model depending on quality level and advertisingVanishing viscosity in mean-field optimal controlMean field games with branchingPropagation of minimality in the supercooled Stefan problemOptimal control of the Fokker-Planck equation under state constraints in the Wasserstein spaceA smooth variational principle on Wasserstein spaceFunctional law of large numbers and central limit theorem for slow-fast McKean-Vlasov equationsUniqueness of stationary distribution and exponential convergence for distribution dependent SDEsPath dependent McKean-Vlasov SDEs with Hölder continuous diffusionThe tamed Euler-Maruyama approximation of Mckean-Vlasov stochastic differential equations and asymptotic error analysisMultiple-delay stochastic McKean-Vlasov equations with Hölder diffusion coefficients and their numerical schemesExplicit numerical approximations for McKean-Vlasov neutral stochastic differential delay equationsViscosity Solutions for Obstacle Problems on Wasserstein SpacePolarization and coherence in mean field games driven by private and social utilityControl problem on space of random variables and master equationAn addendum to the problem of zero-sum LQ stochastic mean-field dynamic gamesMean field games for diel vertical migration with diffusionQuantitative propagation of chaos for mean field Markov decision process with common noiseStrong solutions to McKean-Vlasov SDEs with coefficients of Nemytskii-typeOn a class of distribution dependent stochastic differential equations driven by time-changed Brownian motionsMcKean-Vlasov stochastic differential equations driven by the time-changed Brownian motionLog-Harnack inequality and exponential ergodicity for distribution dependent Chan-Karolyi-Longstaff-Sanders and Vasicek modelsOnline parameter estimation for the McKean-Vlasov stochastic differential equationTime-inconsistent mean-field optimal stopping: a limit approachWeak and Renormalized Solutions to a Hypoelliptic Mean Field Games SystemOn Mean Field Games models for exhaustible commodities tradeViability analysis of the first-order mean field gamesUniform-in-time propagation of chaos for kinetic mean field Langevin dynamicsMinimal solutions of master equations for extended mean field gamesThe Convergence Problem in Mean Field Games with Neumann Boundary ConditionsMulti-dimensional BSDEs with mean reflectionOn smooth approximations in the Wasserstein spaceLarge population games with interactions through controls and common noise: convergence results and equivalence between open-loop and closed-loop controlsEquilibrium pricing of securities in the co-presence of cooperative and non-cooperative populationsImportance sampling for the empirical measure of weakly interacting diffusionsMaster Bellman equation in the Wasserstein space: Uniqueness of viscosity solutionsTrading with the crowdA myopic adjustment process for mean field games with finite state and action spaceLearning Optimal Policies in Potential Mean Field Games: Smoothed Policy Iteration AlgorithmsOn mean-field control problems for backward doubly stochastic systemsNonlinear McKean-Vlasov diffusions under the weak Hörmander condition with quantile-dependent coefficientsKolmogorov equations on spaces of measures associated to nonlinear filtering processesA linear-quadratic mean-field stochastic Stackelberg differential game with random exit timeMean-field type quadratic BSDEsFrom mean field games to Navier-Stokes equationsA level-set approach to the control of state-constrained McKean-Vlasov equations: application to renewable energy storage and portfolio selectionPrincipal-agent problem with multiple principalsOptimal control of path-dependent McKean-Vlasov SDEs in infinite-dimensionExistence and non-uniqueness of stationary distributions for distribution dependent SDEsA Model for Optimal Human Navigation with Stochastic EffectsOn mean field games with common noise and McKean-Vlasov SPDEsMean-Field Game Strategies for Optimal ExecutionStackelberg solution of first-order mean field game with a major playerSquared quadratic Wasserstein distance: optimal couplings and Lions differentiabilityCompetition versus Cooperation: A Class of Solvable Mean Field Impulse Control ProblemsPrice formation and optimal trading in intraday electricity marketsOptimal Stopping of McKean--Vlasov Diffusions via Regression on Particle SystemsMean Field Games with Partial ObservationOn the Convergence Problem in Mean Field Games: A Two State Model without UniquenessRegularity and Sensitivity for McKean-Vlasov Type SPDEs Generated by Stable-like ProcessesExtended Mean Field Control Problems: Stochastic Maximum Principle and Transport PerspectiveOptimal Policies for Convex Symmetric Stochastic Dynamic Teams and their Mean-Field LimitSocial Optima in Mean Field Linear-Quadratic-Gaussian Control with Volatility UncertaintyStochastic linear quadratic optimal control problems for mean-field stochastic evolution equationsClosed-Loop Equilibrium for Time-Inconsistent McKean--Vlasov Controlled ProblemFinite Dimensional Approximations of Hamilton--Jacobi--Bellman Equations in Spaces of Probability MeasuresOn the convergence of carathéodory numerical scheme for Mckean-Vlasov equationsFinite State Mean Field Games with Wright–Fisher Common Noise as Limits ofN-Player Weighted GamesState-density flows of non-degenerate density-dependent mean field SDEs and associated PDEsLagrangian, Eulerian and Kantorovich formulations of multi-agent optimal control problems: equivalence and gamma-convergence




This page was built for publication: Probabilistic Theory of Mean Field Games with Applications I