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    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
    Institute of Electrical and Electronics Engineers (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
    ae974a485f413a2113503eed53cd6c53
    10.1109/CDC40024.2019.9029982
    Scopus Count
    Collections
    Conference Papers; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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