메뉴 건너뛰기




Volumn 13, Issue 5, 2014, Pages 1719-1736

Stochastic differential games with a varying number of players

Author keywords

Controlled birth death processes; L1 estimates; Regularity; Stochastic differential games; Systems of PDE

Indexed keywords


EID: 84902130490     PISSN: 15340392     EISSN: 15535258     Source Type: Journal    
DOI: 10.3934/cpaa.2014.13.1719     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 0002295157 scopus 로고
    • Nonlinear elliptic systems in stochastic game theory
    • A. Bensoussan and J. Frehse, Nonlinear elliptic systems in stochastic game theory, J. Reine Angew. Math., 350 (1984), 23-67.
    • (1984) J. Reine Angew. Math , vol.350 , pp. 23-67
    • Bensoussan, A.1    Frehse, J.2
  • 2
    • 79951854857 scopus 로고    scopus 로고
    • Diagonal elliptic Bellman systems to stochastic differential games with discount control and noncompact coupling
    • Alain Bensoussan and Jens Frehse, Diagonal elliptic Bellman systems to stochastic differential games with discount control and noncompact coupling, Rend. Mat. Appl., 29 (2009), 1-16.
    • (2009) Rend. Mat. Appl , vol.29 , pp. 1-16
    • Bensoussan, A.1    Frehse, J.2
  • 3
    • 84875520943 scopus 로고    scopus 로고
    • Control and Nash games with mean field effect
    • A. Bensoussan and J. Frehse, Control and Nash games with mean field effect, Chin. Ann. Math. Ser. B, 34 (2013), 161-192.
    • (2013) Chin. Ann. Math. Ser. B , vol.34 , pp. 161-192
    • Bensoussan, A.1    Frehse, J.2
  • 5
    • 84968502558 scopus 로고
    • Nonzero-sum stochastic differential games with stopping times and free boundary problems
    • A. Bensoussan and A. Friedman, Nonzero-sum stochastic differential games with stopping times and free boundary problems, Trans. Amer. Math. Soc., 231 (1977), 275-327.
    • (1977) Trans. Amer. Math. Soc , vol.231 , pp. 275-327
    • Bensoussan, A.1    Friedman, A.2
  • 7
    • 16244414648 scopus 로고    scopus 로고
    • Nash equilibrium payoffs for nonzero-sum stochastic differential games
    • R. Buckdahn, P. Cardaliaguet and C. Rainer, Nash equilibrium payoffs for nonzero-sum stochastic differential games, SIAM J. Control Optim., 43 (2004), 624-642.
    • (2004) SIAM J. Control Optim , vol.43 , pp. 624-642
    • Buckdahn, R.1    Cardaliaguet, P.2    Rainer, C.3
  • 8
    • 84902196610 scopus 로고
    • Regolarizzazione negli spazi L(2; λ) delle soluzioni delle equazioni ellittiche del II ordine
    • Edizioni Cremonese, Rome
    • S. Campanato, Regolarizzazione negli spazi L(2; λ) delle soluzioni delle equazioni ellittiche del II ordine, BOOK Atti del Convegno su le Equazioni alle Derivate Parziali (Nervi, 1965), 33-35, Edizioni Cremonese, Rome, 1966.
    • (1966) BOOK Atti Del Convegno Su le Equazioni Alle Derivate Parziali (Nervi, 1965) , vol.33-35
    • Campanato, S.1
  • 9
    • 77954327549 scopus 로고    scopus 로고
    • Bellman systems of stochastic differential games with three players, in Optimal Control and Partial Differential Equations. in Honour of Professor Alain Bensoussan's 60th Birthday
    • Paris, France, December 4, 2000, Amsterdam
    • J. Frehse, Bellman systems of stochastic differential games with three players, in Optimal Control and Partial Differential Equations. In Honour of Professor Alain Bensoussan's 60th Birthday. Proceedings of the Conference, Paris, France, December 4, 2000, Amsterdam, 2001, pp. 3-22.
    • (2001) Proceedings of the Conference , pp. 3-22
    • Frehse, J.1
  • 10
    • 0039930261 scopus 로고
    • Stochastic differential games
    • A. Friedman, Stochastic differential games, J. Differential Equations, 11 (1972), 79-108.
    • (1972) J. Differential Equations , vol.11 , pp. 79-108
    • Friedman, A.1
  • 11
    • 1642360307 scopus 로고    scopus 로고
    • BSDEs with continuous coeffcients and stochastic differential games
    • S. Hamadene, J.-P. Lepeltier and S. Peng, BSDEs with continuous coeffcients and stochastic differential games, Pitman Res. Notes Math. Ser., 364 (1997), 115-128.
    • (1997) Pitman Res. Notes Math. Ser. , vol.364 , pp. 115-128
    • Hamadene, S.1    Lepeltier, J.-P.2    Peng, S.3
  • 12
    • 78650011157 scopus 로고    scopus 로고
    • The continuous time nonzero-sum Dynkin game problem and application in game options
    • S. Hamadène and J. Zhang, The continuous time nonzero-sum Dynkin game problem and application in game options, SIAM J. Control Optim., 48 (2009), 3659-3669.
    • (2009) SIAM J. Control Optim , vol.48 , pp. 3659-3669
    • Hamadène, S.1    Zhang, J.2
  • 15
    • 0007469909 scopus 로고    scopus 로고
    • An introduction to variational inequalities and their applications
    • SIAM, Philadelphia, PA
    • D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Classics in Applied Mathematics, 31, SIAM, Philadelphia, PA, 2000.
    • (2000) Classics in Applied Mathematics , vol.31
    • Kinderlehrer, D.1    Stampacchia, G.2
  • 18
    • 0002864885 scopus 로고
    • Quelques résultats de Visik sur les problèmes elliptiques non linèlaires par les mèthodes de Minty-Browder
    • J. Leray and J. L. Lions, Quelques résultats de Visik sur les problèmes elliptiques non linèlaires par les mèthodes de Minty-Browder, Bulletin de la Soc. Math. France, 93 (1965), 97-107.
    • (1965) Bulletin de la Soc. Math. France , vol.93 , pp. 97-107
    • Leray, J.1    Lions, J.L.2
  • 20
    • 84902193704 scopus 로고
    • Quasilinear elliptic systems of equations containing subordinate terms
    • M. I. Višik, Quasilinear elliptic systems of equations containing subordinate terms, Dokl. Akad. Nauk SSSR, 144 (1962), 13-16.
    • (1962) Dokl. Akad. Nauk SSSR , vol.144 , pp. 13-16
    • Višik, M.I.1
  • 21
    • 0005560506 scopus 로고
    • Hölder continuity of solutions of elliptic systems
    • K.-O. Widman, Hölder Continuity of Solutions of Elliptic Systems, Manuscripta Math., 5 (1971), 299-308.
    • (1971) Manuscripta Math , vol.5 , pp. 299-308
    • Widman, K.-O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.