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Existence and Uniqueness of Solutions for Bertrand and Cournot Mean Field Games
13 references·3 citing·29 second hopsampled
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References

  • 2007Mean field games2,638 cited
  • 2006Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle1,574 cited
  • 2010Mean Field Games and Applications589 cited
  • 2015Second order mean field games with degenerate diffusion and local coupling170 cited
  • 2012Long time average of mean field games145 cited
  • 2013Long Time Average of Mean Field Games with a Nonlocal Coupling142 cited
  • 2014Mean field games systems of first order122 cited
  • 2015Weak Solutions for First Order Mean Field Games with Local Coupling121 cited
  • 2014Bertrand and Cournot Mean Field Games96 cited
  • 2014Time-Dependent Mean-Field Games in the Subquadratic Case89 cited
  • 2015Time-dependent mean-field games in the superquadratic case74 cited
  • 2015Existence for stationary mean-field games with congestion and quadratic Hamiltonians61 cited
  • 2014Socio-economic applications of finite state mean field games53 cited

Cited by

  • 2021On classical solutions to the mean field game system of controls35 cited
  • 2019Schauder Estimates for a Class of Potential Mean Field Games of Controls

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33 cited
  • 2021Dynamic marketing policies with rating-sensitive consumers: A mean-field games approach15 cited