A mean field route choice game model

@article{Salhab2018AMF,
  title={A mean field route choice game model},
  author={Rabih Salhab and Jerome Le Ny and Roland P. Malham{\'e}},
  journal={2018 IEEE Conference on Decision and Control (CDC)},
  year={2018},
  pages={1005-1010}
}
We study a route choice game model, where a large number of drivers are circulating on a road network. Given an origin-destination pair, each driver tries to pick the shortest least congested route to minimize his/her travel time. We develop a mean field game based algorithm that generates the drivers' optimal choices and anticipates the evolution of their probability distribution on the network. The optimal choices, which constitute a Nash equilibrium in the limit of an infinite number of… CONTINUE READING

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