The current method for stationary mean-field games on networks

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Type
Conference Paper
Authors
Gomes, Diogo A. cc
Marcon, Diego
Saleh, Fatimah Al
KAUST Department
Applied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2019
Permanent link to this record
http://hdl.handle.net/10754/662164

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Abstract
We discuss first-order stationary mean-field games (MFG) on networks. These models arise in traffic and pedestrian flows. First, we address the mathematical formulation of first-order MFG on networks, including junction conditions for the Hamilton-Jacobi (HJ) equation and transmission conditions for the transport equation. Then, using the current method, we convert the MFG into a system of algebraic equations and inequalities. For critical congestion models, we show how to solve this system by linear programming.
Citation
Gomes, D. A., Marcon, D., & Saleh, F. A. (2019). The current method for stationary mean-field games on networks. 2019 IEEE 58th Conference on Decision and Control (CDC). doi:10.1109/cdc40024.2019.9029982
Publisher
IEEE
Conference/Event name
2019 IEEE 58th Conference on Decision and Control (CDC)
DOI
10.1109/CDC40024.2019.9029982
Additional Links
https://ieeexplore.ieee.org/document/9029982/
https://ieeexplore.ieee.org/document/9029982/
https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9029982
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Conference Papers; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division