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Volumn 76, Issue 1, 2017, Pages 5-27

An Alternative Approach to Mean Field Game with Major and Minor Players, and Applications to Herders Impacts

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL; MATHEMATICAL TECHNIQUES;

EID: 85021722713     PISSN: 00954616     EISSN: 14320606     Source Type: Journal    
DOI: 10.1007/s00245-017-9430-4     Document Type: Article
Times cited : (36)

References (11)
  • 1
    • 85026304696 scopus 로고    scopus 로고
    • Mean field games with a dominating player. Tech
    • Bensoussan, A., Chau, M., Yam, S.: Mean field games with a dominating player. Tech. Rep. (2013). doi:10.1007/s00245-015-9309-1
    • (2013) Rep
    • Bensoussan, A.1    Chau, M.2    Yam, S.3
  • 2
    • 85026311927 scopus 로고    scopus 로고
    • Delarue
    • Mean Field FBSDEs, Control,Games, Stochastic AnalysisApplications. Springer, New York
    • Carmona, R., Delarue, E.: Probabilistic Theory of Mean Field Games: vol. I, Mean Field FBSDEs, Control, and Games, Stochastic Analysis and Applications. Springer, New York (2017)
    • (2017) E.: Probabilistic Theory of Mean Field Games , vol.1
    • Carmona, R.1
  • 3
    • 85026311927 scopus 로고    scopus 로고
    • Delarue
    • Mean Field Games with Common NoiseMaster Equations, Stochastic AnalysisApplications. Springer, New York
    • Carmona, R., Delarue, E.: Probabilistic Theory of Mean Field Games: vol. II, Mean Field Games with Common Noise and Master Equations, Stochastic Analysis and Applications. Springer, New York (2017)
    • (2017) E.: Probabilistic Theory of Mean Field Games , vol.2
    • Carmona, R.1
  • 4
    • 84979084054 scopus 로고    scopus 로고
    • A probabilistic approach to mean field games with major and minor players
    • Carmona, R., Zhu, G.: A probabilistic approach to mean field games with major and minor players. Ann. Appl. Probab. 26, 1535–1580 (2014)
    • (2014) Ann. Appl. Probab. , vol.26 , pp. 1535-1580
    • Carmona, R.1    Zhu, G.2
  • 6
    • 79952140932 scopus 로고    scopus 로고
    • Large-population lqg games involving a major player: the nash equivalence principle
    • Huang, M.: Large-population lqg games involving a major player: the nash equivalence principle. SIAM J. Control Optim. 48, 3318–3353 (2010)
    • (2010) SIAM J. Control Optim. , vol.48 , pp. 3318-3353
    • Huang, M.1
  • 8
    • 84866769498 scopus 로고    scopus 로고
    • Mean field analysis of controlled Cucker-Smale type flocking: linear analysis and perturbation equations
    • Nourian, M., Caines, P., Malhamé, R.: Mean field analysis of controlled Cucker-Smale type flocking: linear analysis and perturbation equations. In: Proceedings of the 18th IFAC World Congress, Milan, pp. 4471–4476 (2011)
    • (2011) Proceedings of the 18th IFAC World Congress, Milan , pp. 4471-4476
    • Nourian, M.1    Caines, P.2    Malhamé, R.3
  • 9
    • 84868369828 scopus 로고    scopus 로고
    • Linear-quadratic-Gaussian mixed games with continuum-parametrized minor players
    • Nguyen, S., Huang, M.: Linear-quadratic-Gaussian mixed games with continuum-parametrized minor players. SIAM J. Control Optim. 50(5), 2907–2937 (2015)
    • (2015) SIAM J. Control Optim. , vol.50 , Issue.5 , pp. 2907-2937
    • Nguyen, S.1    Huang, M.2
  • 11
    • 84888865707 scopus 로고    scopus 로고
    • ϵ -nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents
    • Nourian, M., Caines, P.: ϵ -nash mean field game theory for nonlinear stochastic dynamical systems with major and minor agents. Tech. Rep. (2013). doi:10.1137/120889496
    • (2013) Tech. Rep.
    • Nourian, M.1    Caines, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.