Open Access
Issue |
ESAIM: COCV
Volume 28, 2022
|
|
---|---|---|
Article Number | 24 | |
Number of page(s) | 24 | |
DOI | https://doi.org/10.1051/cocv/2022020 | |
Published online | 25 May 2022 |
- P.E. Caines and M. Huang, Graphon mean field games and the gmfg equations. In 2018 IEEE Conference on Decision and Control (CDC). IEEE (2018) 4129–4134. [CrossRef] [Google Scholar]
- P.E. Caines and M. Huang, Graphon mean field games and the gmfg equations: ε-nash equilibria. In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE (2019) 286–292. [CrossRef] [Google Scholar]
- P.E. Caines and M. Huang, Graphon mean field games and their equations. SIAM J. Control Optim. 59 (2021) 4373–4399. [CrossRef] [MathSciNet] [Google Scholar]
- P. Cardaliaguet, Notes on mean field games. https://www.ceremade.dauphine.fr/~cardaliaguet/MFG20130420.pdf (2013). [Google Scholar]
- L.C. Evans, Partial differential equations, volume 19 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI (1998). [Google Scholar]
- W.H. Fleming and H.M. Soner, Controlled Markov processes and viscosity solutions, vol. 25 of Stochastic Modelling and Applied Probability. second edition, Springer, New York (2006). [Google Scholar]
- S. Gao and P.E. Caines, Grapbon linear quadratic regulation of large-scale networks of linear systems. In 2018 IEEE Conference on Decision and Control (CDC). IEEE (2018) 5892–5897. [CrossRef] [Google Scholar]
- D.A. Gomes, E.A. Pimentel and V. Voskanyan, Regularity Theory for Mean-Field Game Systems. SpringerBriefs in Mathematics. Springer International Publishing (2016). [CrossRef] [Google Scholar]
- M. Huang, P.E. Caines and R.P. Malhame, Individual and mass behavior in large population stochastic wireless power control problems: centralized and nash equilibrium solutions. In: Proceedings of the 42nd IEEE CDC (2003) 98–103. [Google Scholar]
- M. Huang, P.E. Caines and R.P. Malhame, Large population stochastic dynamic games: closed- loop mckean-vlasov systems and the nash certainty equivalence principle. Commun. Inf. Syst. 6 (2006) 221–251. [Google Scholar]
- M. Huang, P.E. Caines and R.P. Malhame, Large-population cost-coupled lqg problems with non-uniform agents: individualmass behavior and decentralized epsilon-nash equilibria. IEEE Trans. Automat. Control 52 (2007) 1560–1571. [CrossRef] [MathSciNet] [Google Scholar]
- J.L. Kelley, General topology. Courier Dover Publications (2017). [Google Scholar]
- N.V. Krylov, Lectures on elliptic and parabolic equations in Hölder spaces, vol. 12 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI (1996). [CrossRef] [Google Scholar]
- O.A. Ladyženskaja, V.A. Solonnikov and N.N. Ural'ceva, Linear and quasilinear equations of parabolic type. Trans. Math.Monogr., vol. 23. American Mathematical Society, Providence, R.I. (1967). [Google Scholar]
- J.-M. Lasry and P.-L. Lions, Mean field games. Jpn. J. Math. 2 (2007) 229–260. [Google Scholar]
- L. Lovász, Large networks and graph limits, Vol. 60. American Mathematical Soc. (2012). [Google Scholar]
- M. Nourian and P.E. Caines, ε-Nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents. SIAM J. Control Optim. 51 (2013) 3302–3331. [CrossRef] [MathSciNet] [Google Scholar]
- L. Ryzhik, Notes on mean field games (2018). https://math.stanford.edu/~ryzhik/STANFORD/MEAN-FIELD-GAMES/notes-mean-field.pdf. [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.