메뉴 건너뛰기




Volumn 45, Issue 2, 2006, Pages 496-518

Mixed zero-sum stochastic differential game and American game options

Author keywords

American game options; Dynkin games; Mixed zero sum stochastic differential game; Reflected backward SDEs

Indexed keywords

CONTROL THEORY; DIFFERENTIAL EQUATIONS; OPTIMIZATION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 33947240908     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S036301290444280X     Document Type: Article
Times cited : (88)

References (30)
  • 1
    • 0040854314 scopus 로고
    • Thèse de doctorat en mathématiques, Université de Franche-Comté, Besançon, France
    • M. ALARIOT-NAZARET, Jeux de Dynkin, Thèse de doctorat en mathématiques, Université de Franche-Comté, Besançon, France, 1982.
    • (1982) Jeux de Dynkin
    • ALARIOT-NAZARET, M.1
  • 2
    • 33947236422 scopus 로고    scopus 로고
    • M. ALARIOT, J. P. LEPELTIER, AND B. MARCHAL, Jeux de Dynkin, 2nd Bad Honnef Workshop on Stochastic Processes, Lecture Notes in Control and Inform. Sci., Springer-Verlag, Berlin, 1982., pp. 23-32.
    • M. ALARIOT, J. P. LEPELTIER, AND B. MARCHAL, Jeux de Dynkin, 2nd Bad Honnef Workshop on Stochastic Processes, Lecture Notes in Control and Inform. Sci., Springer-Verlag, Berlin, 1982., pp. 23-32.
  • 3
    • 0001644262 scopus 로고
    • Existence of optimal strategies based on specified information, for a class of stochastic decision problems
    • V. E. BENEŠ, Existence of optimal strategies based on specified information, for a class of stochastic decision problems, SIAM J. Control, 8 (1970), pp. 179-188.
    • (1970) SIAM J. Control , vol.8 , pp. 179-188
    • BENEŠ, V.E.1
  • 4
    • 0040259844 scopus 로고
    • Non-linear variational inequalities and differential games with stopping times
    • A. BENSOUSSAN AND A. FRIEDMAN, Non-linear variational inequalities and differential games with stopping times, J. Funct. Anal., 16 (1974), pp. 305-352.
    • (1974) J. Funct. Anal , vol.16 , pp. 305-352
    • BENSOUSSAN, A.1    FRIEDMAN, A.2
  • 5
    • 0012070426 scopus 로고
    • Sur un problème de Dynkin
    • J. M. BISMUT, Sur un problème de Dynkin, Z. Wahrsch. Verw. Geb., 39 (1977), pp. 31-53.
    • (1977) Z. Wahrsch. Verw. Geb , vol.39 , pp. 31-53
    • BISMUT, J.M.1
  • 6
    • 0030360242 scopus 로고    scopus 로고
    • Backward SDEs with reflection and Dynkin games
    • J. CVITANIC AND I. KARATZAS, Backward SDEs with reflection and Dynkin games, Ann. Probab., 24 (1996), pp. 2024-2056.
    • (1996) Ann. Probab , vol.24 , pp. 2024-2056
    • CVITANIC, J.1    KARATZAS, I.2
  • 7
    • 14844352406 scopus 로고    scopus 로고
    • Reflected forward-backward SDEs and obstacle problems with boundary conditions
    • J. CVITANIC AND J. MA, Reflected forward-backward SDEs and obstacle problems with boundary conditions, J. Appl. Math. Stochastic Anal., 14 (2001), pp. 113-138.
    • (2001) J. Appl. Math. Stochastic Anal , vol.14 , pp. 113-138
    • CVITANIC, J.1    MA, J.2
  • 8
    • 0019589828 scopus 로고
    • Optimal play in a stochastic differential game
    • R. J. ELLIOTT AND M. H. DAVIS, Optimal play in a stochastic differential game, SIAM J. Control Optim., 19 (1981), pp. 543-554.
    • (1981) SIAM J. Control Optim , vol.19 , pp. 543-554
    • ELLIOTT, R.J.1    DAVIS, M.H.2
  • 11
    • 0016900193 scopus 로고
    • The existence of value in stochastic differential games
    • R. 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.1
  • 12
    • 0031483012 scopus 로고    scopus 로고
    • Reflected solutions of backward SDEs and related obstacle problems for PDEs
    • N. EL-KAROUI, C. KAPOUDJIAN, E. PARDOUX, S. PENG, AND M. C. QUENEZ, Reflected solutions of backward SDEs and related obstacle problems for PDEs, Ann. Probab., 25 (1997), pp. 702-737.
    • (1997) Ann. Probab , vol.25 , pp. 702-737
    • EL-KAROUI, N.1    KAPOUDJIAN, C.2    PARDOUX, E.3    PENG, S.4    QUENEZ, M.C.5
  • 13
    • 0042843669 scopus 로고    scopus 로고
    • BSDEs and risk-sensitive control, zero-sum and nonzerosum game problems of stochastic functional differential equations
    • N. EL-KAROUI AND S. HAMADÈNE, BSDEs and risk-sensitive control, zero-sum and nonzerosum game problems of stochastic functional differential equations, Stochastic Process Appl., 107 (2003), pp. 145-169.
    • (2003) Stochastic Process Appl , vol.107 , pp. 145-169
    • EL-KAROUI, N.1    HAMADÈNE, S.2
  • 14
    • 14844339865 scopus 로고    scopus 로고
    • Reflected backward SDEs and American options
    • L. Robers and D. Talay, eds, Cambridge University Press, Cambridge, UK
    • N. EL-KAROUI, E. PARDOUX, AND M.-C. QUENEZ, Reflected backward SDEs and American options, in Numerical Methods in Finance, L. Robers and D. Talay, eds., Cambridge University Press, Cambridge, UK, 1997, pp. 215-231.
    • (1997) Numerical Methods in Finance , pp. 215-231
    • EL-KAROUI, N.1    PARDOUX, E.2    QUENEZ, M.-C.3
  • 17
    • 0039662153 scopus 로고
    • Backward equations, stochastic control and zero-sum stochastic differential games
    • S. HAMADÈNE AND J. P. LEPELTIER, Backward equations, stochastic control and zero-sum stochastic differential games, Stochastics Stochastic Rep., 54 (1995), pp. 221-231.
    • (1995) Stochastics Stochastic Rep , vol.54 , pp. 221-231
    • HAMADÈNE, S.1    LEPELTIER, J.P.2
  • 18
    • 0029276198 scopus 로고
    • Zero-sum stochastic differential games and backward equations
    • S. HAMADÈNE AND J. P. LEPELTIER, Zero-sum stochastic differential games and backward equations, Systems Control Lett., 24 (1995), pp. 259-263.
    • (1995) Systems Control Lett , vol.24 , pp. 259-263
    • HAMADÈNE, S.1    LEPELTIER, J.P.2
  • 20
    • 0010698152 scopus 로고    scopus 로고
    • Game options
    • Y. KIFER, Game options, Finance Stoch., 4 (2000), pp. 443-463.
    • (2000) Finance Stoch , vol.4 , pp. 443-463
    • KIFER, Y.1
  • 23
    • 33947255124 scopus 로고    scopus 로고
    • I. KARATZAS AND H. WANG, Connections between bounded variation control and Dynkin games, in Optimal Control and Partial Differential Equations (in honor of A. Bensoussan), J. L. Menaldi, E. Rofman, and A. Sulem, eds., IOS Press, Amsterdam, 2001, pp. 363-373.
    • I. KARATZAS AND H. WANG, Connections between bounded variation control and Dynkin games, in Optimal Control and Partial Differential Equations (Volume in honor of A. Bensoussan), J. L. Menaldi, E. Rofman, and A. Sulem, eds., IOS Press, Amsterdam, 2001, pp. 363-373.
  • 24
    • 27644579035 scopus 로고    scopus 로고
    • The value of zero-sum stopping games in continuous time
    • R. LARAKI AND E. SOLAN, The value of zero-sum stopping games in continuous time, SIAM J. Control Optim., 43 (2005), pp. 1913-1922.
    • (2005) SIAM J. Control Optim , vol.43 , pp. 1913-1922
    • LARAKI, R.1    SOLAN, E.2
  • 25
    • 0021468483 scopus 로고
    • Le Jeu de Dynkin en Théorie Générale Sans l'Hypothecèse de Mokobodski
    • J. P. LEPELTIER AND M. A. MAINGUENEAU, Le Jeu de Dynkin en Théorie Générale Sans l'Hypothecèse de Mokobodski, Stochastics, 13 (1984), pp. 25-44.
    • (1984) Stochastics , vol.13 , pp. 25-44
    • LEPELTIER, J.P.1    MAINGUENEAU, M.A.2
  • 26
    • 0021306737 scopus 로고
    • Dynkin games and martingale methods
    • H. MORIMOTO, Dynkin games and martingale methods, Stochastics, 13 (1984), pp. 213-228.
    • (1984) Stochastics , vol.13 , pp. 213-228
    • MORIMOTO, H.1
  • 27
    • 0039529012 scopus 로고    scopus 로고
    • Monotonic limit theorem of BSDE and nonlinear decomposition theorem of DoobMeyer's type
    • S. PENG, Monotonic limit theorem of BSDE and nonlinear decomposition theorem of DoobMeyer's type, Probab. Theory Related Fields, 113 (1999), pp. 473-499.
    • (1999) Probab. Theory Related Fields , vol.113 , pp. 473-499
    • PENG, S.1
  • 29
    • 0020194087 scopus 로고
    • Zero-sum Markov games with stopping and impulsive strategies
    • L. STETTNER, Zero-sum Markov games with stopping and impulsive strategies, Appl. Math. Optim., 9 (1982/83), pp. 1-24.
    • (1982) Appl. Math. Optim , vol.9 , pp. 1-24
    • STETTNER, L.1
  • 30
    • 0041425273 scopus 로고    scopus 로고
    • Continuous-time Dynkin games with mixed strategies
    • N. TOUZI AND N. VIEILLE, Continuous-time Dynkin games with mixed strategies, SIAM J. Control Optim., 41 (2002), pp. 1073-1088.
    • (2002) SIAM J. Control Optim , vol.41 , pp. 1073-1088
    • TOUZI, N.1    VIEILLE, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.