Fetching the paper…
Reading the bibliography…
In the literature, existence of mean-field equilibria has been established for discrete-time mean field games under both the discounted cost and the average cost optimality criteria.
Recurrence conditions for Markov decision processes with Borel state space: a survey
O. Hernández-Lerma, R. Montes-De-Oca, and R. Cavazos-Cadena · 1991
Earlier work this paper cites.
Discrete-Time Markov Control Processes: Basic Optimality Criteria
O. Hernández-Lerma and J.B. Lasserre · 1996
Earlier work this paper cites.
Further Topics on Discrete-Time Markov Control Processes
O. Hernández-Lerma and J.B. Lasserre · 1999
Earlier work this paper cites.
Perturbation Analysis of Optimization Problems
J.F. Bonnans and A. Shapiro · 2000
Earlier work this paper cites.
Large population stochastic dynamic games: Closed loop McKean-Vlasov systems and the Nash certainty equivalence principle
M. Huang, R.P. Malhamé, and P.E. Caines · 2006
Earlier work this paper cites.
Large-population cost coupled LQG problems with nonuniform agents: Individual-mass behavior and decentralized ϵ \epsilon -Nash equilibria
M. Huang, P.E. Caines, and R.P. Malhamé · 2007
Earlier work this paper cites.
Mean field games
J. Lasry and P.Lions · 2007
Earlier work this paper cites.
Optimal transport: Old and New
C. Villani · 2009
Earlier work this paper cites.
Mean field games: numerical methods
Y. Achdou and I. Capuzzo-Dolcetta · 2010
Earlier work this paper cites.
Discrete time, finite state space mean field games
D.A. Gomes, J. Mohr, and R.R. Souza · 2010
Earlier work this paper cites.
Large-population LQG games involving major player: The Nash certainty equivalence principle
M. Huang · 2010
Earlier work this paper cites.
Notes on Mean-field Games
P. Cardaliaguet · 2011
Earlier work this paper cites.
New numerical methods for mean field games with quadratic costs
O. Guetant · 2012
Cited alongside, same era.
Mean field games: convergence of a finite difference method
Y. Achdou, F.Camilli, and I. Capuzzo-Dolcetta · 2013
Cited alongside, same era.
Mean Field Games and Mean Field Type Control Theory
A. Bensoussan, J. Frehse, and P. Yam · 2013
Cited alongside, same era.
Probabilistic analysis of mean-field games
R. Carmona and F. Delarue · 2013
Cited alongside, same era.
Discrete time mean-field stochastic linear-quadratic optimal control problems
R. Elliot, X. Li, and Y. Ni · 2013
Cited alongside, same era.
Linear-quadratic-Gaussian mean field games under high rate quantization
M. Nourian and G.N. Nair · 2013
Cited alongside, same era.
Convergence of a finite difference scheme to weak solutions of the system of partial differential equations arising in mean field games
Y. Achdou and A.Porretta · 2016
Later among the works it cites.
Two numerical approaches to staionary mean-field games
N. Almulla, R.Ferreira, and D.Gomes · 2016
Later among the works it cites.
Discrete-time mean field Stackelberg games with a large number of followers
J. Moon and T. Başar · 2016
Later among the works it cites.
Robust mean field games for coupled Markov jump linear systems
J. Moon and T. Başar · 2016
Later among the works it cites.
Numerical methods for finite-state mean-field games satisfying monotonicity condition
D.A. Gomes and J.Saude · 2018
Later among the works it cites.
Markov–Nash equilibria in mean-field games with discounted cost
N. Saldi, T. Başar, and M. Raginsky · 2018
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Mean field games models - a brief survey
D.A. Gomes and J. Saúde · 2014
Cited alongside, same era.
Risk-sensitive mean field games
H. Tembine, Q. Zhu, and T. Başar · 2014
Cited alongside, same era.
Equilibria of dynamic games with many players: Existence, approximation, and market structure
S. Adlakha, R. Johari, and G.Y. Weintraub · 2015
Cited alongside, same era.
Mean field games with ergodic cost for discrete time Markov processes
A. Biswas · 2015
Cited alongside, same era.
Discrete-time decentralized control using the risk-sensitive performance criterion in the large population regime: a mean field approach
J. Moon and T. Başar · 2015
Cited alongside, same era.
Stationary anonymous sequential games with undiscounted rewards
P. Wiecek and E. Altman · 2015
Cited alongside, same era.
Later among the works it cites.
Finite approximations in discrete-time stochastic control: Quantized models and asymptotic optimality
N. Saldi, T. Linder, and S. Yüksel · 2018
Later among the works it cites.
Finite mean field games: fictitous play and convergence to a first order continuous mean field game
S. Hadikhanloo and F.J.Silva · 2019
Closest in time.
Statistical learning theory
B. Hajek and M. Raginsky · 2019
Closest in time.
Discrete-time ergodic mean-field games with average reward on compact spaces
Piotr Wiecek · 2019
Closest in time.
Mean field games and applications: numerical aspects
Y. Achdou and M.Lauriere · 2020
Closest in time.