Determining state space anomalies in mean field games
arXiv:2405.18954 · doi:10.1088/1361-6544/ada67d
Abstract
In this paper, we are concerned with the inverse problem of determining anomalies in the state space associated with the stationary mean field game (MFG) system. We establish novel unique identifiability results for the intrinsic structure of these anomalies in mean field games systems, including their topological structure and parameter configurations, in several general scenarios of practical interest, including traffic flow, market economics and epidemics. To the best of our knowledge, this is the first work that considers anomalies in the state space for the nonlinear coupled MFG system.
arXiv commentKeywords: Stationary mean field games, inverse boundary problems, anomalies in state space, singularities, uniqueness
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