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- W4311251209 abstract "We introduce two Smoothed Policy Iteration algorithms (textbf{SPI}s) as rules for learning policies and methods for computing Nash equilibria in second order potential Mean Field Games (MFGs). Global convergence is proved if the coupling term in the MFG system satisfy the Lasry Lions monotonicity condition. Local convergence to a stable solution is proved for system which may have multiple solutions. The convergence analysis shows close connections between textbf{SPI}s and the Fictitious Play algorithm, which has been widely studied in the MFG literature. Numerical simulation results based on finite difference schemes are presented to supplement the theoretical analysis." @default.
- W4311251209 created "2022-12-25" @default.
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- W4311251209 date "2022-12-09" @default.
- W4311251209 modified "2023-10-01" @default.
- W4311251209 title "Learning optimal policies in potential Mean Field Games: Smoothed Policy Iteration algorithms" @default.
- W4311251209 doi "https://doi.org/10.48550/arxiv.2212.04791" @default.
- W4311251209 hasPublicationYear "2022" @default.
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