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Volumn 76, Issue 1, 2017, Pages 177-215

The Convergence Problem in Mean Field Games with Local Coupling

Author keywords

Differential games; Mean field games; Mean field limit

Indexed keywords

MATHEMATICAL TECHNIQUES;

EID: 85021237122     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-017-9434-0     Document Type: Article
Times cited : (37)

References (22)
  • 4
    • 84881309217 scopus 로고    scopus 로고
    • Probabilistic analysis of mean-field games
    • Carmona, R., Delarue, F.: Probabilistic analysis of mean-field games. SIAM J. Control. Optim. 51(4), 2705–2734 (2013)
    • (2013) SIAM J. Control. Optim. , vol.51 , Issue.4 , pp. 2705-2734
    • Carmona, R.1    Delarue, F.2
  • 6
    • 84887513526 scopus 로고    scopus 로고
    • The derivation of ergodic mean field game equations for several populations of players
    • Feleqi, E.: The derivation of ergodic mean field game equations for several populations of players. Dyn. Games Appl. 3(4), 523–536 (2013)
    • (2013) Dyn. Games Appl. , vol.3 , Issue.4 , pp. 523-536
    • Feleqi, E.1
  • 8
    • 84939257541 scopus 로고    scopus 로고
    • On the rate of convergence in wasserstein distance of the empirical measure
    • Fournier, N., Guillin, A.: On the rate of convergence in wasserstein distance of the empirical measure. Probab. Theory Relat. Fields 162(3–4), 707–738 (2015)
    • (2015) Probab. Theory Relat. Fields , vol.162 , Issue.3-4 , pp. 707-738
    • Fournier, N.1    Guillin, A.2
  • 9
    • 84941797484 scopus 로고    scopus 로고
    • Existence of a solution to an equation arising from the theory of mean field games
    • Gangbo, W., Świech, A.: Existence of a solution to an equation arising from the theory of mean field games. J. Differ. Equ. 259(11), 6573–6643 (2015)
    • (2015) J. Differ. Equ. , vol.259 , Issue.11 , pp. 6573-6643
    • Gangbo, W.1    Świech, A.2
  • 11
    • 34249075491 scopus 로고    scopus 로고
    • An invariance principle in large population stochastic dynamic games
    • Huang, M., Caines, P.E., Malhamé, R.P.: An invariance principle in large population stochastic dynamic games. J. Syst. Sci. Complex. 20(2), 162–172 (2007)
    • (2007) J. Syst. Sci. Complex. , vol.20 , Issue.2 , pp. 162-172
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 12
    • 34648831837 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε -nash equilibria
    • Huang, M., Caines, P.E., Malhamé, R.P.: Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε -nash equilibria. IEEE Trans. Autom. Control 52(9), 1560–1571 (2007)
    • (2007) IEEE Trans. Autom. Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 13
    • 62749196684 scopus 로고    scopus 로고
    • The nash certainty equivalence principle and Mckean-Vlasov systems: an invariance principle and entry adaptation
    • Huang, M., Caines, P.E., Malhamé, R.P.: The nash certainty equivalence principle and Mckean-Vlasov systems: an invariance principle and entry adaptation. In: 2007 46th IEEE Conference on Decision and Control, pp. 121–126 (2007)
    • (2007) 2007 46th IEEE Conference on Decision and Control , pp. 121-126
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 14
    • 78650003922 scopus 로고    scopus 로고
    • The NCE (mean field) principle with locality dependent cost interactions
    • Huang, Minyi, Caines, P.E., Malhamé, R.P.: The NCE (mean field) principle with locality dependent cost interactions. IEEE Trans. Autom. Control 55(12), 2799–2805 (2010)
    • (2010) IEEE Trans. Autom. Control , vol.55 , Issue.12 , pp. 2799-2805
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 15
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: closed-loop Mckean-Vlasov systems and the nash certainty equivalence principle
    • Huang, M., Malhamé, R.P., Caines, P.E., et al.: Large population stochastic dynamic games: closed-loop Mckean-Vlasov systems and the nash certainty equivalence principle. Commun. Inf. Syst. 6(3), 221–252 (2006)
    • (2006) Commun. Inf. Syst. , vol.6 , Issue.3 , pp. 221-252
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 16
    • 84936864615 scopus 로고    scopus 로고
    • A general characterization of the mean field limit for stochastic differential games
    • Lacker, D.: A general characterization of the mean field limit for stochastic differential games. Probab. Theory Relat. Fields 165(3–4), 581–648 (2016)
    • (2016) Probab. Theory Relat. Fields , vol.165 , Issue.3-4 , pp. 581-648
    • Lacker, D.1
  • 18
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. i–le cas stationnaire
    • Lasry, J.-M., Lions, P.-L.: Jeux à champ moyen. i–le cas stationnaire. Comptes Rendus Mathématique 343(9), 619–625 (2006)
    • (2006) Comptes Rendus Mathématique , vol.343 , Issue.9 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 19
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. ii–horizon fini et contrôle optimal
    • Lasry, J.-M., Lions, P.-L.: Jeux à champ moyen. ii–horizon fini et contrôle optimal. Comptes Rendus Mathématique 343(10), 679–684 (2006)
    • (2006) Comptes Rendus Mathématique , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 20
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, J.-M., Lions, P.-L.: Mean field games. Jpn. J. Math. 2(1), 229–260 (2007)
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 22
    • 84925014244 scopus 로고    scopus 로고
    • Weak solutions to Fokker-Planck equations and mean field games
    • Porretta, A.: Weak solutions to Fokker-Planck equations and mean field games. Arch. Ration. Mech. Anal. 216(1), 1–62 (2015)
    • (2015) Arch. Ration. Mech. Anal. , vol.216 , Issue.1 , pp. 1-62
    • Porretta, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.