On quasi-stationary mean field games models

DOI10.1007/s00245-018-9484-yzbMath1440.35328arXiv1709.02593OpenAlexW2963609321MaRDI QIDQ2187325

Charafeddine Mouzouni

Publication date: 2 June 2020

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02593

zbMATH Keywords

Nash equilibriaself-organizationlong time behaviormean field games\(N\)-person gamesmyopic equilibriumnonlinear coupled PDE systemsquasi-stationary models

Mathematics Subject Classification ID

Differential games and control (49N70) Asymptotic behavior of solutions to PDEs (35B40) (n)-person games, (n>2) (91A06) Stochastic games, stochastic differential games (91A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Unnamed Item
• Unnamed Item
• Large-scale dynamics of mean-field games driven by local Nash equilibria
• Continuous dependence estimates for the ergodic problem of Bellman equation with an application to the rate of convergence for the homogenization problem
• Nonlinear elliptic systems and mean-field games
• One-dimensional forward-forward mean-field games
• Mean field games. I: The stationary case
• Mean field games. II: Finite horizon and optimal control
• Mean field games
• Ecole d'été de probabilités de Saint-Flour XIX, France, du 16 août au 2 septembre 1989
• Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
• Mean-field games and model predictive control
• Long time average of mean field games
• Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
• Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
• The derivation of ergodic mean field game equations for several populations of players
• Long Time Average of Mean Field Games with a Nonlocal Coupling
• Evolution of wealth in a non-conservative economy driven by local Nash equilibria
• Mean field games models of segregation
• Collective dynamics and self-organization: some challenges and an example
• Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
• On ergodic stochastic control
• The Master Equation and the Convergence Problem in Mean Field Games
• Modeling Rationality to Control Self-Organization of Crowds: An Environmental Approach
• Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
• Synchronization of Coupled Oscillators is a Game

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