Determining state space anomalies in mean field games

Autor:	Liu, Hongyu, Lo, Catharine W. K.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control Primary 35R30 secondary 35Q89 91A16 35R35
Druh dokumentu:	Working Paper
Popis:	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. Comment: Keywords: Stationary mean field games, inverse boundary problems, anomalies in state space, singularities, uniqueness
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.18954 Zobrazit plný text záznamu View this record from Arxiv