Mean field game with state augmentation proves existence and uniqueness of decentralized battery charging equilibria for any continuous monotonic price function and reduces to two Riccati equations when the price is affine.
A mean-field game method for decentralized charging coordination of a large population of plug-in electric vehicles,
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The framework models DER populations as a density evolving via PDE, convexifies the problem to a sparse LP via finite-volume discretization and flux-lifting for broadcast coordination, and uses data mixing plus Wasserstein relaxation for privacy and flexibility.
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Price-Coordinated Mean Field Games with State Augmentation for Decentralized Battery Charging
Mean field game with state augmentation proves existence and uniqueness of decentralized battery charging equilibria for any continuous monotonic price function and reduces to two Riccati equations when the price is affine.
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A Convexified Eulerian Framework for Scalable Coordination of Massive DER Populations
The framework models DER populations as a density evolving via PDE, convexifies the problem to a sparse LP via finite-volume discretization and flux-lifting for broadcast coordination, and uses data mixing plus Wasserstein relaxation for privacy and flexibility.