Time-dependent equilibria in potential MFGs converge to stationary ones via a novel Lyapunov functional, with a new uniqueness criterion and application to Kuramoto MFG.
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A mean-field game framework for economic growth with dynamic externalities and common noise is developed, proving strong equilibrium existence and uniqueness via FBSDE reformulation and contraction mapping, with a neural-network numerical solver.
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Convergence of Potential Mean-Field Games via Lyapunov Methods
Time-dependent equilibria in potential MFGs converge to stationary ones via a novel Lyapunov functional, with a new uniqueness criterion and application to Kuramoto MFG.
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Growth model with externalities for energetic transition via MFG with common external variable
A mean-field game framework for economic growth with dynamic externalities and common noise is developed, proving strong equilibrium existence and uniqueness via FBSDE reformulation and contraction mapping, with a neural-network numerical solver.