Corpus ID: 119580636

The variational structure and time-periodic solutions for mean-field games systems

@article{Cirant2018TheVS,
  title={The variational structure and time-periodic solutions for mean-field games systems},
  author={Marco Cirant and L. Nurbekyan},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
Here, we observe that mean-field game (MFG) systems admit a two-player infinite-dimensional general-sum differential game formulation. We show that particular regimes of this game reduce to previously known variational principles. Furthermore, based on the game-perspective we derive new variational formulations for first-order MFG systems with congestion. Finally, we use these findings to prove the existence of time-periodic solutions for viscous MFG systems with a coupling that is not a non… Expand
On the existence of oscillating solutions in non-monotone Mean-Field Games
Brake orbits and heteroclinic connections for first order Mean Field Games
Connecting GANs and MFGs
Generative Adversarial Network: Some Analytical Perspectives
  • Haoyang Cao, Xin Guo
  • Computer Science, Economics
  • ArXiv
  • 2021
Connecting GANs, MFGs, and OT

References

SHOWING 1-10 OF 58 REFERENCES
Stationary focusing mean-field games
Mean field games systems of first order
Short-time existence of solutions for mean-field games with congestion
One-Dimensional Stationary Mean-Field Games with Local Coupling
Weak Solutions for First Order Mean Field Games with Local Coupling
...
1
2
3
4
5
...