scientific article; zbMATH DE number 6998837

zbMath1406.49025MaRDI QIDQ4644820

Alessio Porretta

Publication date: 9 January 2019

Full work available at URL: http://www.heldermann.de/MTA/MTA03/MTA032/mta03016.htm#mta032

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zbMATH Keywords

monotonicityoptimal controlmean field gamesexponential turnpike propertyergodic stationary state

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Linearizations (93B18) Stochastic games, stochastic differential games (91A15)

Related Items (7)

Existence and non-existence for time-dependent mean field games with strong aggregation ⋮ Stationary equilibria and their stability in a Kuramoto MFG with strong interaction ⋮ Regularity and Long Time Behavior of One-Dimensional First-Order Mean Field Games and the Planning Problem ⋮ An introduction to mean field game theory ⋮ A policy iteration method for mean field games ⋮ Long time behavior and turnpike solutions in mildly non-monotone mean field games ⋮ The turnpike property in semilinear control

Cites Work

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• The turnpike property in finite-dimensional nonlinear optimal control
• On the convergence of finite state mean-field games through \(\Gamma\)-convergence
• Nonlinear elliptic systems and mean-field games
• Mean field games. I: The stationary case
• Mean field games. II: Finite horizon and optimal control
• Discrete time, finite state space mean field games
• Mean field games
• Long time average of mean field games
• Long Time Average of Mean Field Games with a Nonlocal Coupling
• Long Time versus Steady State Optimal Control

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