메뉴 건너뛰기




Volumn 41, Issue 4, 2003, Pages 1073-1088

Continuous-time dynkin games with mixed strategies

Author keywords

Dynkin games; Minimax theorem; Optimal stopping; Stochastic analysis

Indexed keywords

PROBABILITY; RANDOM PROCESSES; SET THEORY;

EID: 0041425273     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900369812     Document Type: Article
Times cited : (78)

References (19)
  • 1
    • 0012040442 scopus 로고
    • Dynkin games, in Stochastic Differential Systems
    • Bad Honnef, 1982, Springer-Verlag, Berlin, New York
    • M. ALARIO-NAZARET, J.P. LEPELTIER, AND B. MARCHAL (1982), Dynkin games, in Stochastic Differential Systems (Bad Honnef, 1982), Lecture Notes in Control Inform. Sci. 43, Springer-Verlag, Berlin, New York, pp. 23-32.
    • (1982) Lecture Notes in Control Inform. Sci. , vol.43 , pp. 23-32
    • Alario-Nazaret, M.1    Lepeltier, J.P.2    Marchal, B.3
  • 2
    • 0002829118 scopus 로고
    • Mixed and behavior strategies in infinite extensive games
    • M. Dresher, L.S. Shapley, and A.W. Tucker, eds., Princeton University Press, Princeton, NJ
    • R.J. AUMANN (1964), Mixed and behavior strategies in infinite extensive games, in Advances in Game Theory, Ann. Math. Stud. 52, M. Dresher, L.S. Shapley, and A.W. Tucker, eds., Princeton University Press, Princeton, NJ.
    • (1964) Advances in Game Theory, Ann. Math. Stud. , vol.52
    • Aumann, R.J.1
  • 3
    • 0040259844 scopus 로고
    • Non-linear variational inequalities and differential games with stopping times
    • A. BENSOUSSAN AND A. FRIEDMAN (1974), Non-linear variational inequalities and differential games with stopping times, J. Funct. Anal., 16, pp. 305-352.
    • (1974) J. Funct. Anal. , vol.16 , pp. 305-352
    • Bensoussan, A.1    Friedman, A.2
  • 4
    • 0012070426 scopus 로고
    • Sur un problème de Dynkin
    • J.-M. BISMUT (1977), Sur un problème de Dynkin, Z. Warsch. V. Geb., 39, pp. 31-53.
    • (1977) Z. Warsch. V. Geb. , vol.39 , pp. 31-53
    • Bismut, J.-M.1
  • 5
    • 0040342375 scopus 로고
    • Temps d'arrêt optimal, quasi-temps d'arrêt et retournement du temps
    • J.-M. BISMUT (1979), Temps d'arrêt optimal, quasi-temps d'arrêt et retournement du temps, Ann. Probab., 6, pp. 933-964.
    • (1979) Ann. Probab. , vol.6 , pp. 933-964
    • Bismut, J.-M.1
  • 6
    • 0030360242 scopus 로고    scopus 로고
    • Backward stochastic differential equation with reflection and Dynkin games
    • J. CVITANIĆ AND I. KARATZAS (1996), Backward stochastic differential equation with reflection and Dynkin games, Ann. Probab., 24, pp. 2024-2056.
    • (1996) Ann. Probab. , vol.24 , pp. 2024-2056
    • Cvitanić, J.1    Karatzas, I.2
  • 8
    • 0001496362 scopus 로고
    • Game variant of a problem on optimal stopping
    • E.B. DYNKIN (1967), Game variant of a problem on optimal stopping, Soviet Math. Dokl., 10, pp. 270-274.
    • (1967) Soviet Math. Dokl. , vol.10 , pp. 270-274
    • Dynkin, E.B.1
  • 12
    • 0038458594 scopus 로고    scopus 로고
    • Connections between bounded variation control and Dynkin games
    • Volume in honor of A. Bensoussan, J.L. Menaldi, E. Rofman, and A. Sulem, eds., IOS Press, Amsterdam
    • I. KARATZAS AND H. WANG (2001), 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, pp. 363-373.
    • (2001) Optimal Control and Partial Differential Equations , pp. 363-373
    • Karatzas, I.1    Wang, H.2
  • 13
    • 0000619048 scopus 로고
    • Extensive games and the problem of information, in Contributions to the Theory of Games
    • H.W. Kuhn and A.W. Tucker, eds., Princeton University Press, Princeton, NJ
    • H.W. KUHN (1953), Extensive games and the problem of information, in Contributions to the Theory of Games, Ann. Math. Stud. 28, H.W. Kuhn and A.W. Tucker, eds., Princeton University Press, Princeton, NJ.
    • (1953) Ann. Math. Stud. , vol.28
    • Kuhn, H.W.1
  • 14
    • 0021468483 scopus 로고
    • Le jeu de Dynkin en théorie générale sans l'hypothèse de Mokobodsky
    • J.P. LEPELTIER AND M.A. MAINGUENEAU (1984), Le jeu de Dynkin en théorie générale sans l'hypothèse de Mokobodsky, Stochastics, 13, pp. 25-44.
    • (1984) Stochastics , vol.13 , pp. 25-44
    • Lepeltier, J.P.1    Maingueneau, M.A.2
  • 15
    • 0003351019 scopus 로고
    • Repeated Games, Part A
    • Université Catholique de Louvain
    • J.-F. MERTENS, S. SORIN, AND S. ZAMIR (1994), Repeated Games, Part A, Core Discussion Papers 9420, Université Catholique de Louvain.
    • (1994) Core Discussion Papers , vol.9420
    • Mertens, J.-F.1    Sorin, S.2    Zamir, S.3
  • 16
    • 0021306737 scopus 로고
    • Dynkin games and martingale methods
    • H. MORIMOTO (1984), Dynkin games and martingale methods, Stochastics, 13, pp. 213-228,
    • (1984) Stochastics , vol.13 , pp. 213-228
    • Morimoto, H.1
  • 18
    • 84972513554 scopus 로고
    • On general minimax theorems
    • M. SION (1958), On general minimax theorems, Pacific J. Math., 8, pp. 171-176.
    • (1958) Pacific J. Math. , vol.8 , pp. 171-176
    • Sion, M.1
  • 19
    • 0020194087 scopus 로고
    • Zero-sum Markov games with stopping and impulsive strategies
    • L. STETTNER (1982), Zero-sum Markov games with stopping and impulsive strategies, Appl. Math. Optim., 9, pp. 1-24.
    • (1982) Appl. Math. Optim. , vol.9 , pp. 1-24
    • Stettner, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.