The current method for stationary mean-field games on networks

Diogo A. Gomes; Diego Marcon; Fatimah Al Saleh; IEEE

doi:10.1109/CDC40024.2019.9029982

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Conference proceeding

The current method for stationary mean-field games on networks

Diogo A. Gomes, Diego Marcon, Fatimah Al Saleh and IEEE

2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), Vol.2019-, pp.305-310

IEEE Conference on Decision and Control

01/12/2019

DOI: https://doi.org/10.1109/CDC40024.2019.9029982

Abstract

Automation & Control Systems

Engineering

Engineering, Electrical & Electronic

Science & Technology

Technology

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.

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Title: The current method for stationary mean-field games on networks
Creators - without role: Diogo A. Gomes - Universidade Federal do Rio Grande do Sul
Diego Marcon - King Abdullah University of Science and Technology
Fatimah Al Saleh - King Abdullah Univ Sci & Technol KAUST, CEMSE Div, Thuwal 239556900, Saudi Arabia
IEEE
Publication Details: 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), Vol.2019-, pp.305-310
Series: IEEE Conference on Decision and Control
Publisher: IEEE
Number of pages: 6
Grant note: 186276 / Deanship of Scientific Research at King Faisal University King Abdullah University of Science and Technology (KAUST) baseline funds; King Abdullah University of Science & Technology OSR-CRG2017-3452 / KAUST; King Abdullah University of Science & Technology
Identifiers: 9943755008331
Academic Unit: King Abdullah University of Science & Technology; King Faisal University
Language: English
Resource Type: Conference proceeding