Reconstructing a state-independent cost function in a mean-field game model

DOI10.1088/1361-6420/AD7497MaRDI QIDQ6641739

Kewei Wang, Nathan Soedjak, Kui Ren, Hongyu Zhai

Publication date: 21 November 2024

Published in: Inverse Problems (Search for Journal in Brave)

zbMATH Keywords

inverse problemuniquenessmultilinearizationmean-field game modelstate-independent cost function

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)

Cites Work

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• High order computation of optimal transport, mean field planning, and potential mean field games
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• On the mean field games system with lateral Cauchy data via Carleman estimates
• Inverse problems for mean field games
• Lipschitz stability for determination of states and inverse source problem for the mean field game equations
• A bilevel optimization method for inverse mean-field games

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