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- W4320086411 abstract "Conventional Mean-field games/control study the behavior of a large number of rational agents moving in the Euclidean spaces. In this work, we explore the mean-field games on Riemannian manifolds. We formulate the mean-field game Nash Equilibrium on manifolds. We also establish the equivalence between the PDE system and the optimality conditions of the associated variational form on manifolds. Based on the triangular mesh representation of two-dimensional manifolds, we design a proximal gradient method for variational mean-field games. Our comprehensive numerical experiments on various manifolds illustrate the effectiveness and flexibility of the proposed model and numerical methods." @default.
- W4320086411 created "2023-02-12" @default.
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- W4320086411 date "2022-06-03" @default.
- W4320086411 modified "2023-09-29" @default.
- W4320086411 title "Computational Mean-field Games on Manifolds" @default.
- W4320086411 doi "https://doi.org/10.48550/arxiv.2206.01622" @default.
- W4320086411 hasPublicationYear "2022" @default.
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