• Corpus ID: 239616509

Solving N-player dynamic routing games with congestion: a mean field approach

@article{Cabannes2021SolvingND,
  title={Solving N-player dynamic routing games with congestion: a mean field approach},
  author={Theophile Cabannes and Mathieu Lauri{\`e}re and Julien P{\'e}rolat and Rapha{\"e}l Marinier and Sertan Girgin and Sarah Perrin and Olivier Pietquin and Alexandre M. Bayen and {\'E}ric Goubault and Romuald Elie},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.11943}
}
The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the fundamental diagram of traffic flows – applied in macroscopic and mesoscopic traffic modeling – the article introduces a new N -player dynamic routing game with explicit congestion dynamics. The model is well-posed and can reproduce heterogeneous departure times and congestion spill back phenomena. However, as Nash… 

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