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Volumn 53, Issue 4, 2015, Pages 2237-2266

Mean field Stackelberg games: Aggregation of delayed instructions

Author keywords

Backward stochastic dynamics; Delay information from dominating player; Dominating player; Forward backward stochastic functional differential equations; Mean field games; Nonsymmetric riccati equations; Stackelberg games

Indexed keywords

DIFFERENTIAL EQUATIONS; STOCHASTIC SYSTEMS;

EID: 84940646547     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/140993399     Document Type: Article
Times cited : (57)

References (24)
  • 1
    • 77957274382 scopus 로고    scopus 로고
    • Differential games with mixed leadership: The open-loop solution
    • T. BAŞAR, A. BENSOUSSAN, AND S. P. SETHI, Differential games with mixed leadership: The open-loop solution, Appl. Math. Comput., 217 (2010), pp. 972-979.
    • (2010) Appl. Math. Comput. , vol.217 , pp. 972-979
    • BaŞar, T.1    Bensoussan, A.2    Sethi, S.P.3
  • 2
    • 33745410651 scopus 로고
    • Stochastic control by functional analysis methods
    • Elsevier, New York
    • A. BENSOUSSAN, Stochastic Control by Functional Analysis Methods, Stud. Math. Appl. 11, Elsevier, New York, 1982.
    • (1982) Stud. Math. Appl. , vol.11
    • Bensoussan, A.1
  • 4
    • 84892581085 scopus 로고    scopus 로고
    • Linear quadratic differential games with mixed leadership: The open-loop solution
    • A. BENSOUSSAN, S. CHEN, AND S. P. SETHI, Linear quadratic differential games with mixed leadership: The open-loop solution, Numer. Algebra Control Optim., 3 (2013), pp. 95-108.
    • (2013) Numer. Algebra Control Optim. , vol.3 , pp. 95-108
    • Bensoussan, A.1    Chen, S.2    Sethi, S.P.3
  • 6
    • 57149120528 scopus 로고    scopus 로고
    • On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians, Commun
    • A. BENSOUSSAN AND J. FREHSE, On diagonal elliptic and parabolic systems with super-quadratic Hamiltonians, Commun. Pure Appl. Anal., 8 (2009), pp. 83-94.
    • (2009) Pure Appl. Anal. , vol.8 , pp. 83-94
    • Bensoussan, A.1    Frehse, J.2
  • 7
    • 77954335214 scopus 로고    scopus 로고
    • Systems of Bellman equations to stochastic differential games with non-compact coupling
    • A. BENSOUSSAN, J. FREHSE, AND J. VOGELGESANG, Systems of Bellman equations to stochastic differential games with non-compact coupling. Discrete Contin. Dyn. Syst., 27 (2010), pp. 1375-1389.
    • (2010) Discrete Contin. Dyn. Syst. , vol.27 , pp. 1375-1389
    • Bensoussan, A.1    Frehse, J.2    Vogelgesang, J.3
  • 8
    • 85088964125 scopus 로고    scopus 로고
    • Mean field games and mean field type control theory
    • Springer, New York
    • A. BENSOUSSAN, J. FREHSE, AND S. C. P. YAM, Mean Field Games and Mean Field Type Control Theory, Springer Briefs Math., Springer, New York, 2013.
    • (2013) Springer Briefs Math.
    • Bensoussan, A.1    Frehse, J.2    Yam, S.C.P.3
  • 10
    • 84881309217 scopus 로고    scopus 로고
    • Probabilistic analysis of mean-field games
    • R. CARMONA AND F. DELARUE, Probabilistic analysis of mean-field games, SIAM J. Control Optim., 51 (2013), pp. 2705-2734.
    • (2013) SIAM J. Control Optim. , vol.51 , pp. 2705-2734
    • Carmona, R.1    Delarue, F.2
  • 11
    • 0004077516 scopus 로고
    • Linear estimation and stochastic control
    • Chapman & Hall, London
    • M. H. A. DAVIS, Linear Estimation and Stochastic Control, Chapman & Hall Math. Ser., Chapman & Hall, London, 1977.
    • (1977) Chapman & Hall Math. Ser.
    • Davis, M.H.A.1
  • 12
    • 0016900193 scopus 로고
    • The existence of value in stochastic differential games
    • R. J. ELLIOTT, The existence of value in stochastic differential games, SIAM J. Control Optim., 14 (1976), pp. 85-94.
    • (1976) SIAM J. Control Optim. , vol.14 , pp. 85-94
    • Elliott, R.J.1
  • 13
    • 1542359162 scopus 로고    scopus 로고
    • Individual and mass behaviour in large population stochastic wireless power control problems: Centralized and Nash equilibrium solutions
    • Maui, HI
    • M. HUANG, P. E. CAINES, AND R. P. MALHAMÉ, Individual and mass behaviour in large population stochastic wireless power control problems: Centralized and Nash equilibrium solutions, in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, 2003, pp. 98-103.
    • (2003) Proceedings of the 42nd IEEE Conference on Decision and Control , pp. 98-103
    • Huang, M.1    Caines, P.E.2    MalhamÉ, R.P.3
  • 14
    • 39549087376 scopus 로고    scopus 로고
    • 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, Large population stochastic dynamic games: Closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle, Commun. Inf. Syst., 6 (2006), pp. 221-252.
    • (2006) Commun. Inf. Syst. , vol.6 , pp. 221-252
    • Huang, M.1    MalhamÉ, R.P.2    Caines, P.E.3
  • 15
    • 79952140932 scopus 로고    scopus 로고
    • Large-population LQG games involving a major player: The Nash certainty equivalence principle
    • M. HUANG, Large-population LQG games involving a major player: The Nash certainty equivalence principle, SIAM J. Control Optim., 48 (2010), pp. 3318-3353.
    • (2010) SIAM J. Control Optim. , vol.48 , pp. 3318-3353
    • Huang, M.1
  • 16
    • 33750627999 scopus 로고    scopus 로고
    • Jeux á champ moyen I-Le cas stationnaire
    • J. M. LASRY AND P. L. LIONS, Jeux á champ moyen I-Le cas stationnaire, C. R. Acad. Sci. Ser. I, 343 (2006), pp. 619-625.
    • (2006) C. R. Acad. Sci. Ser. I , vol.343 , pp. 619-625
    • Lasry, J.M.1    Lions, P.L.2
  • 17
    • 33751077273 scopus 로고    scopus 로고
    • Jeux á champ moyen II. Horizon fini et contrôle optimal
    • J. M. LASRY AND P. L. LIONS, Jeux á champ moyen II. Horizon fini et contrôle optimal, C. R. Acad. Sci., Ser. I, 343 (2006), pp. 679-684.
    • (2006) C. R. Acad. Sci., Ser. I , vol.343 , pp. 679-684
    • Lasry, J.M.1    Lions, P.L.2
  • 19
    • 80051655222 scopus 로고    scopus 로고
    • Backward stochastic dynamics on a filtered probability space
    • G. LIANG, T. LYONS, AND Z. QIAN, Backward stochastic dynamics on a filtered probability space, Ann. Probab., 39 (2011), pp. 1422-1448.
    • (2011) Ann. Probab. , vol.39 , pp. 1422-1448
    • Liang, G.1    Lyons, T.2    Qian, Z.3
  • 20
    • 84888865707 scopus 로고    scopus 로고
    • ε-Nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents
    • 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), pp. 3302-3331.
    • (2013) SIAM J. Control Optim. , vol.51 , pp. 3302-3331
    • Nourian, M.1    Caines, P.E.2
  • 21
    • 77950838625 scopus 로고    scopus 로고
    • Anticipated backward stochastic differential equations
    • S. PENG AND Z. YANG, Anticipated backward stochastic differential equations, Ann. Probab., 37 (2009), pp. 877-902.
    • (2009) Ann. Probab. , vol.37 , pp. 877-902
    • Peng, S.1    Yang, Z.2
  • 22
    • 0001461528 scopus 로고
    • On the Stackelberg strategy in nonzero-sum games
    • M. SIMAAN AND J. B. CRUZ, JR., On the Stackelberg strategy in nonzero-sum games, J. Optim. Theory Appl., 11 (1973), pp. 533-555.
    • (1973) J. Optim. Theory Appl. , vol.11 , pp. 533-555
    • Simaan, M.1    Cruz, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.