Fetching the paper…
Reading the bibliography…
We consider a class of mean field games in which the agents interact through both their states and controls, and we focus on situations in which a generic agent tries to adjust her speed (control) to an average speed (the average is made in a neighborhood in the state space).
H. A. van der Vorst · 2003
Earlier work this paper cites.
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
Minyi Huang, Roland P. Malhamé, and Peter E. Caines · 2006
Earlier work this paper cites.
Jeux à champ moyen. I. Le cas stationnaire
Jean-Michel Lasry and Pierre-Louis Lions · 2006
Earlier work this paper cites.
Jeux à champ moyen. II. Horizon fini et contrôle optimal
Jean-Michel Lasry and Pierre-Louis Lions · 2006
Earlier work this paper cites.
Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ϵ \epsilon -Nash equilibria
Minyi Huang, Peter E. Caines, and Roland P. Malhamé · 2007
Earlier work this paper cites.
Mean field games
Jean-Michel Lasry and Pierre-Louis Lions · 2007
Earlier work this paper cites.
Mean field games: numerical methods
Yves Achdou and Italo Capuzzo-Dolcetta · 2010
Earlier work this paper cites.
Finite difference methods for mean field games
Yves Achdou · 2013
Cited alongside, same era.
Mean field games and mean field type control theory
Alain Bensoussan, Jens Frehse, and Phillip Yam · 2013
Cited alongside, same era.
Extended mean field games
D. A. Gomes and V. K. Voskanyan · 2013
Cited alongside, same era.
On the existence of classical solutions for stationary extended mean field games
Diogo A. Gomes, Stefania Patrizi, and Vardan Voskanyan · 2014
Cited alongside, same era.
Forward-backward stochastic differential equations and controlled McKean-Vlasov dynamics
René Carmona and François Delarue · 2015
Cited alongside, same era.
A probabilistic weak formulation of mean field games and applications
René Carmona and Daniel Lacker · 2015
Cited alongside, same era.
Mean field game of controls and an application to trade crowding
Pierre Cardaliaguet and Charles-Albert Lehalle · 2018
Later among the works it cites.
Probabilistic theory of mean field games with applications. I
René Carmona and François Delarue · 2018
Later among the works it cites.
Mean field games for modeling crowd motion
Yves Achdou and Jean-Michel Lasry · 2019
Later among the works it cites.
Schauder Estimates for a Class of Potential Mean Field Games of Controls
Frédéric J. Bonnans, Saeed Hadikhanloo, and Laurent Pfeiffer · 2019
Later among the works it cites.
On Classical Solutions to the Mean Field Game System of Controls
Z Kobeissi · 2019
Later among the works it cites.
Théorie des jeux à champs moyen
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Mean field games with congestion
Yves Achdou and Alessio Porretta · 2018
Cited alongside, same era.
UMFPACK. http://www.cise.ufl.edu/research/sparse/umfpack/current/
Cited in the paper.
Pierre-Louis Lions · 2019
Later among the works it cites.