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Volumn 120, Issue , 2018, Pages 165-194

Optimal stopping in mean field games, an obstacle problem approach

Author keywords

Mean field games; Optimal control; Optimal stopping; PDE

Indexed keywords


EID: 85033380600     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2017.09.016     Document Type: Article
Times cited : (62)

References (25)
  • 1
    • 77956048120 scopus 로고    scopus 로고
    • Mean field games: numerical methods
    • Achdou, Yves, Capuzzo-Dolcetta, Italo, Mean field games: numerical methods. SIAM J. Numer. Anal. 48:3 (2010), 1136–1162.
    • (2010) SIAM J. Numer. Anal. , vol.48 , Issue.3 , pp. 1136-1162
    • Achdou, Y.1    Capuzzo-Dolcetta, I.2
  • 2
    • 0003131889 scopus 로고
    • Local behavior of solutions of quasilinear parabolic equations
    • Aronson, Don G., Serrin, James, Local behavior of solutions of quasilinear parabolic equations. Arch. Ration. Mech. Anal. 25:2 (1967), 81–122.
    • (1967) Arch. Ration. Mech. Anal. , vol.25 , Issue.2 , pp. 81-122
    • Aronson, D.G.1    Serrin, J.2
  • 3
    • 0003809134 scopus 로고    scopus 로고
    • Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations
    • Springer Science & Business Media
    • Bardi, Martino, Capuzzo-Dolcetta, Italo, Optimal Control and Viscosity Solutions of Hamilton–Jacobi–Bellman Equations. 2008, Springer Science & Business Media.
    • (2008)
    • Bardi, M.1    Capuzzo-Dolcetta, I.2
  • 4
    • 84941420139 scopus 로고    scopus 로고
    • Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
    • Benamou, Jean-David, Carlier, Guillaume, Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations. J. Optim. Theory Appl. 167:1 (2015), 1–26.
    • (2015) J. Optim. Theory Appl. , vol.167 , Issue.1 , pp. 1-26
    • Benamou, J.-D.1    Carlier, G.2
  • 5
    • 0003521037 scopus 로고    scopus 로고
    • Applications of Variational Inequalities in Stochastic Control, vol. 12
    • Elsevier
    • Bensoussan, Alain, Lions, J.-L., Applications of Variational Inequalities in Stochastic Control, vol. 12. 2011, Elsevier.
    • (2011)
    • Bensoussan, A.1    Lions, J.-L.2
  • 6
    • 1842766318 scopus 로고    scopus 로고
    • The obstacle problem revisited
    • Caffarelli, Luis A., The obstacle problem revisited. J. Fourier Anal. Appl. 4:4 (1998), 383–402.
    • (1998) J. Fourier Anal. Appl. , vol.4 , Issue.4 , pp. 383-402
    • Caffarelli, L.A.1
  • 7
    • 85050817016 scopus 로고    scopus 로고
    • n-Player games and mean field games with absorption
    • arXiv preprint
    • Campi, Luciano, Fischer, Markus, n-Player games and mean field games with absorption. arXiv preprint arXiv:1612.03816, 2016.
    • (2016)
    • Campi, L.1    Fischer, M.2
  • 8
    • 85068762191 scopus 로고    scopus 로고
    • Notes on Mean Field Games
    • Technical report
    • Cardaliaguet, Pierre, Notes on Mean Field Games. Technical report, 2010.
    • (2010)
    • Cardaliaguet, P.1
  • 10
    • 85056073501 scopus 로고    scopus 로고
    • Learning in mean field games: the fictitious play
    • arXiv preprint
    • Cardaliaguet, Pierre, Hadikhanloo, Saeed, Learning in mean field games: the fictitious play. arXiv preprint arXiv:1507.06280, 2015.
    • (2015)
    • Cardaliaguet, P.1    Hadikhanloo, S.2
  • 11
    • 84865574440 scopus 로고    scopus 로고
    • Long time average of mean field games
    • Cardaliaguet, Pierre, Lasry, Jean-Michel, Lions, Pierre-Louis, Porretta, Alessio, et al. Long time average of mean field games. NHM 7:2 (2012), 279–301.
    • (2012) NHM , vol.7 , Issue.2 , pp. 279-301
    • Cardaliaguet, P.1    Lasry, J.-M.2    Lions, P.-L.3    Porretta, A.4
  • 12
    • 85072069003 scopus 로고    scopus 로고
    • The master equation and the convergence problem in mean field games
    • arXiv preprint
    • Cardaliaguet, Pierre, Delarue, François, Lasry, Jean-Michel, Lions, Pierre-Louis, The master equation and the convergence problem in mean field games. arXiv preprint arXiv:1509.02505, 2015.
    • (2015)
    • Cardaliaguet, P.1    Delarue, F.2    Lasry, J.-M.3    Lions, P.-L.4
  • 13
    • 84942369075 scopus 로고    scopus 로고
    • Second order mean field games with degenerate diffusion and local coupling
    • Cardaliaguet, Pierre, Graber, P. Jameson, Porretta, Alessio, Tonon, Daniela, Second order mean field games with degenerate diffusion and local coupling. Nonlinear Differ. Equ. Appl. NoDEA 22:5 (2015), 1287–1317.
    • (2015) Nonlinear Differ. Equ. Appl. NoDEA , vol.22 , Issue.5 , pp. 1287-1317
    • Cardaliaguet, P.1    Graber, P.J.2    Porretta, A.3    Tonon, D.4
  • 14
    • 84881309217 scopus 로고    scopus 로고
    • Probabilistic analysis of mean-field games
    • Carmona, René, Delarue, François, Probabilistic analysis of mean-field games. SIAM J. Control Optim. 51:4 (2013), 2705–2734.
    • (2013) SIAM J. Control Optim. , vol.51 , Issue.4 , pp. 2705-2734
    • Carmona, R.1    Delarue, F.2
  • 15
    • 85056027631 scopus 로고    scopus 로고
    • Mean field games of timing and models for bank runs
    • arXiv preprint
    • Carmona, Rene, Delarue, François, Lacker, Daniel, Mean field games of timing and models for bank runs. arXiv preprint arXiv:1606.03709, 2016.
    • (2016)
    • Carmona, R.1    Delarue, F.2    Lacker, D.3
  • 16
    • 84931064331 scopus 로고    scopus 로고
    • Obstacle mean-field game problem
    • Gomes, Diogo, Patrizi, Stefania, Obstacle mean-field game problem. Interfaces Free Bound. 17:1 (2015), 55–68.
    • (2015) Interfaces Free Bound. , vol.17 , Issue.1 , pp. 55-68
    • Gomes, D.1    Patrizi, S.2
  • 17
    • 68849084877 scopus 로고    scopus 로고
    • A reference case for mean field games models
    • Guéant, Olivier, A reference case for mean field games models. J. Math. Pures Appl. 92:3 (2009), 276–294.
    • (2009) J. Math. Pures Appl. , vol.92 , Issue.3 , pp. 276-294
    • Guéant, O.1
  • 19
    • 84933553528 scopus 로고    scopus 로고
    • Mean field games via controlled martingale problems: existence of Markovian equilibria
    • Lacker, Daniel, Mean field games via controlled martingale problems: existence of Markovian equilibria. Stoch. Process. Appl. 125:7 (2015), 2856–2894.
    • (2015) Stoch. Process. Appl. , vol.125 , Issue.7 , pp. 2856-2894
    • Lacker, D.1
  • 20
    • 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. 343:9 (2006), 619–625.
    • (2006) C. R. Math. , vol.343 , Issue.9 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 21
    • 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. 343:10 (2006), 679–684.
    • (2006) C. R. Math. , vol.343 , Issue.10 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 22
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, Jean-Michel, Lions, Pierre-Louis, Mean field games. Jpn. J. Math. 2:1 (2007), 229–260.
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 23
    • 84981757198 scopus 로고
    • On the regularity of the solution of a variational inequality
    • Lewy, Hans, Stampacchia, Guido, On the regularity of the solution of a variational inequality. Commun. Pure Appl. Math. 22:2 (1969), 153–188.
    • (1969) Commun. Pure Appl. Math. , vol.22 , Issue.2 , pp. 153-188
    • Lewy, H.1    Stampacchia, G.2
  • 24
    • 84865537156 scopus 로고    scopus 로고
    • Cours au college de france
    • 2011, 2007
    • Lions, Pierre-Louis, Cours au college de france. www.college-de-france.fr 2011, 2007.
    • Lions, P.-L.1
  • 25
    • 85056035430 scopus 로고    scopus 로고
    • A mean field game of optimal stopping
    • arXiv preprint
    • Nutz, Marcel, A mean field game of optimal stopping. arXiv preprint arXiv:1605.09112, 2016.
    • (2016)
    • Nutz, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.