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Volumn 418, Issue 1, 2014, Pages 211-230

On the convergence of finite state mean-field games through Γ-convergence

Author keywords

Finite state mean field games; convergence

Indexed keywords


EID: 84899964905     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2014.02.044     Document Type: Article
Times cited : (21)

References (20)
  • 4
    • 77549085949 scopus 로고    scopus 로고
    • Discrete time, finite state space mean field games
    • Gomes D., Mohr J., Souza R.R. Discrete time, finite state space mean field games. J. Math. Pures Appl. 2010, 93(2):308-328.
    • (2010) J. Math. Pures Appl. , vol.93 , Issue.2 , pp. 308-328
    • Gomes, D.1    Mohr, J.2    Souza, R.R.3
  • 5
    • 84880206151 scopus 로고    scopus 로고
    • Continuous time finite state mean-field games
    • Gomes D., Mohr J., Souza R.R. Continuous time finite state mean-field games. Appl. Math. Optim. 2013, 68(1):99-143.
    • (2013) Appl. Math. Optim. , vol.68 , Issue.1 , pp. 99-143
    • Gomes, D.1    Mohr, J.2    Souza, R.R.3
  • 6
    • 84865604666 scopus 로고    scopus 로고
    • A-priori estimates for stationary mean-field games
    • Gomes Diogo A., Pires Gabriel E., Sánchez-Morgado Héctor A-priori estimates for stationary mean-field games. Netw. Heterog. Media 2012, 7(2):303-314.
    • (2012) Netw. Heterog. Media , vol.7 , Issue.2 , pp. 303-314
    • Gomes, D.A.1    Pires, G.E.2    Héctor, S.-M.3
  • 8
    • 84899935965 scopus 로고    scopus 로고
    • An existence and uniqueness result for mean field games with congestion effect on graphs, preprint
    • O. Gueant, An existence and uniqueness result for mean field games with congestion effect on graphs, preprint, 2011.
    • (2011)
    • Gueant, O.1
  • 9
    • 84899975003 scopus 로고    scopus 로고
    • From infinity to one: the reduction of some mean field games to a global control problem, preprint
    • O. Gueant, From infinity to one: the reduction of some mean field games to a global control problem, preprint, 2011.
    • (2011)
    • Gueant, O.1
  • 10
    • 34648831837 scopus 로고    scopus 로고
    • Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε-Nash equilibria
    • Huang Minyi, Caines Peter E., Malhamé Roland P. Large-population cost-coupled LQG problems with nonuniform agents: individual-mass behavior and decentralized ε-Nash equilibria. IEEE Trans. Automat. Control 2007, 52(9):1560-1571.
    • (2007) IEEE Trans. Automat. Control , vol.52 , Issue.9 , pp. 1560-1571
    • Huang, M.1    Caines, P.E.2    Malhamé, R.P.3
  • 11
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
    • Huang Minyi, Malhamé Roland P., Caines Peter E. Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle. Commun. Inf. Syst. 2006, 6(3):221-251.
    • (2006) Commun. Inf. Syst. , vol.6 , Issue.3 , pp. 221-251
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 12
    • 84899906633 scopus 로고    scopus 로고
    • Julien Salomon Aimé Lachapelle, Gabriel Turinici, Computation of mean field equilibria in economics.
    • Julien Salomon Aimé Lachapelle, Gabriel Turinici, Computation of mean field equilibria in economics.
  • 13
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. I. Le cas stationnaire
    • Lasry Jean-Michel, Lions Pierre-Louis Jeux à champ moyen. I. Le cas stationnaire. C. R. Math. Acad. Sci. Paris 2006, 343(9):619-625.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , Issue.9 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 14
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. II. Horizon fini et contrÔle optimal
    • Lasry Jean-Michel, Lions Pierre-Louis Jeux à champ moyen. II. Horizon fini et contrÔle optimal. C. R. Math. Acad. Sci. Paris 2006, 343(10):679-684.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 15
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry Jean-Michel, Lions Pierre-Louis Mean field games. Jpn. J. Math. 2007, 2(1):229-260.
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 17
    • 84899905986 scopus 로고    scopus 로고
    • Application of mean field games to growth theory, preprint
    • Jean-Michel Lasry, Pierre-Louis Lions, O. Guéant, Application of mean field games to growth theory, preprint, 2010.
    • (2010)
    • Lasry, J.-M.1    Lions, P.-L.2    Guéant, O.3
  • 19
    • 12844251839 scopus 로고
    • An Introduction to Γ-Convergence
    • Birkhäuser Boston Inc., Boston, MA
    • Maso Gianni Dal An Introduction to Γ-Convergence. Progr. Nonlinear Differential Equations Appl. 1993, vol. 8. Birkhäuser Boston Inc., Boston, MA.
    • (1993) Progr. Nonlinear Differential Equations Appl. , vol.8
    • Maso, G.D.1
  • 20
    • 84899910707 scopus 로고    scopus 로고
    • Knowledge growth and the allocation of time, preprint
    • B. Moll, R. Lucas, Knowledge growth and the allocation of time, preprint, 2011.
    • (2011)
    • Moll, B.1    Lucas, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.