M. Alario-nazaret, J. Lepeltier, and B. Marchal, Dynkin games, Stochastic differential systems, pp.23-32, 1982.
DOI : 10.1007/BFb0044285

J. P. Ansel and C. Stricker, D??composition de Kunita-Watanabe, Séminaire de Probabilités, XXVII, pp.30-32, 1993.
DOI : 10.1017/S0027763000012484
URL : http://archive.numdam.org/article/SPS_1993__27__30_0.pdf

R. J. Aumann and M. B. Maschler, Repeated games with incomplete information, 1995.

V. Bally, Construction of asymptotically optimal controls for control and game problems. Probab. Theory Related Fields, pp.453-467, 1998.

M. Bardi and I. Capuzzo-dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Systems & Control : Foundations & Applications, With appendices by Maurizio Falcone and Pierpaolo Soravia, 1997.

G. Barles, Solutions de viscosité deséquationsdeséquations de Hamilton-Jacobi, Mathématiques & Applications, vol.17, 2009.

G. Barles and P. E. Souganidis, Convergence of approximation schemes for fully nonlinear second order equations, 29th IEEE Conference on Decision and Control, pp.271-283, 1991.
DOI : 10.1109/CDC.1990.204046

C. Bender and R. Denk, A forward scheme for backward SDEs. Stochastic Process, Appl, vol.117, issue.12, pp.1793-1812, 2007.

C. Bender and J. Zhang, Time discretization and Markovian iteration for coupled FBSDEs, The Annals of Applied Probability, vol.18, issue.1, pp.143-177, 2008.
DOI : 10.1214/07-AAP448

A. Bensoussan and A. Friedman, Nonlinear variational inequalities and differential games with stopping times, Journal of Functional Analysis, vol.16, issue.3, pp.305-352, 1974.
DOI : 10.1016/0022-1236(74)90076-7
URL : http://doi.org/10.1016/0022-1236(74)90076-7

A. Bensoussan and J. Lions, Applications des inéquations variationnelles en contrôle stochastique, Méthodes Mathématiques de l'Informatique, 1978.

J. Bismut, Conjugate convex functions in optimal stochastic control, Journal of Mathematical Analysis and Applications, vol.44, issue.2, pp.384-404, 1973.
DOI : 10.1016/0022-247X(73)90066-8

J. Bismut, Sur un probl??me de dynkin, Zeitschrift f??r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.32, issue.n??? 167, pp.31-53, 1977.
DOI : 10.1007/BF01844871

B. Bouchard, R. Elie, and N. Touzi, Discrete-time approximation of BSDEs and probabilistic schemes for fully nonlinear PDEs, Advanced financial modelling, pp.91-124, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00630797

B. Bouchard and N. Touzi, Discrete-time approximation and Monte-Carlo simulation of backward stochastic differential equations, Stochastic Processes and their Applications, vol.111, issue.2, pp.175-206, 2004.
DOI : 10.1016/j.spa.2004.01.001
URL : https://hal.archives-ouvertes.fr/hal-00103046

. Ph, Y. Briand, and . Hu, Quadratic BSDEs with convex generators and unbounded terminal conditions. Probab. Theory Related Fields, pp.543-567, 2008.

R. Buckdahn, P. Cardaliaguet, and C. Rainer, Nash Equilibrium Payoffs for Nonzero-Sum Stochastic Differential Games, SIAM Journal on Control and Optimization, vol.43, issue.2, pp.624-642, 2004.
DOI : 10.1137/S0363012902411556

R. Buckdahn, Y. Hu, and J. Li, Stochastic representation for solutions of Isaacs' type integral-partial differential equations. Stochastic Process, Appl, vol.121, issue.12, pp.2715-2750, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00675842

R. Buckdahn and J. Li, Stochastic Differential Games and Viscosity Solutions of Hamilton???Jacobi???Bellman???Isaacs Equations, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.444-475, 2008.
DOI : 10.1137/060671954

R. Buckdahn and J. Li, Stochastic differential games with reflection and related obstacle problems for Isaacs equations, Acta Mathematicae Applicatae Sinica, English Series, vol.47, issue.5, pp.647-678, 2011.
DOI : 10.1007/s10255-011-0068-8

P. Cannarsa and C. Sinestrari, Semiconcave functions, Hamilton-Jacobi equations, and optimal control, Progress in Nonlinear Differential Equations and their Applications, 2004.

I. Capuzzo-dolcetta and P. Lions, Hamilton-Jacobi equations with state constraints, Transactions of the American Mathematical Society, vol.318, issue.2, pp.643-683, 1990.
DOI : 10.1090/S0002-9947-1990-0951880-0

P. Cardaliaguet, Differential Games with Asymmetric Information, SIAM Journal on Control and Optimization, vol.46, issue.3, pp.816-838, 2007.
DOI : 10.1137/060654396
URL : https://hal.archives-ouvertes.fr/hal-00701203

P. Cardaliaguet, Representations Formulas for Some Differential Games with Asymmetric Information, Journal of Optimization Theory and Applications, vol.27, issue.2, pp.1-16, 2008.
DOI : 10.1007/s10957-008-9377-3

P. Cardaliaguet, A double obstacle problem arising in differential game theory, Journal of Mathematical Analysis and Applications, vol.360, issue.1, pp.95-107, 2009.
DOI : 10.1016/j.jmaa.2009.06.041
URL : https://hal.archives-ouvertes.fr/hal-00289588

P. Cardaliaguet, Numerical approximation and optimal strategies for differential games with lack of information on one side In Advances in dynamic games and their applications, volume 10 of Ann, Internat. Soc. Dynam. Games, pp.159-176, 2009.

P. Cardaliaguet and C. Rainer, On a Continuous-Time Game with Incomplete Information, Mathematics of Operations Research, vol.34, issue.4, pp.769-794, 2009.
DOI : 10.1287/moor.1090.0414
URL : https://hal.archives-ouvertes.fr/hal-00326093

P. Cardaliaguet and C. Rainer, Stochastic Differential Games with Asymmetric Information, Applied Mathematics and Optimization, vol.43, issue.1, pp.1-36, 2009.
DOI : 10.1007/s00245-008-9042-0
URL : https://hal.archives-ouvertes.fr/hal-00273223

M. G. Crandall, H. Ishii, and P. Lions, user's guide to viscosity solutions\\ of second order\\ partial differential equations, Bulletin of the American Mathematical Society, vol.27, issue.1, pp.1-67, 1992.
DOI : 10.1090/S0273-0979-1992-00266-5

M. G. Crandall and P. Lions, Viscosity solutions of Hamilton-Jacobi equations, Transactions of the American Mathematical Society, vol.277, issue.1, pp.1-42, 1983.
DOI : 10.1090/S0002-9947-1983-0690039-8

J. Cvitanic and I. Karatzas, Backward stochastic differential equations with reflection and dynkin games. The Annals of Probability, pp.2024-2056, 1996.

D. Meyer, Price dynamics on a stock market with asymmetric information, Games and Economic Behavior, vol.69, issue.1, pp.42-71, 2010.
DOI : 10.1016/j.geb.2010.01.011
URL : https://hal.archives-ouvertes.fr/hal-00643654

B. Meyer, E. Lehrer, and D. Rosenberg, Evaluating Information in Zero-Sum Games with Incomplete Information on Both Sides, Mathematics of Operations Research, vol.35, issue.4, pp.851-863, 2010.
DOI : 10.1287/moor.1100.0467
URL : https://hal.archives-ouvertes.fr/hal-00586037

D. Meyer and D. Rosenberg, ???Cav u??? and the Dual Game, Mathematics of Operations Research, vol.24, issue.3, pp.619-626, 1999.
DOI : 10.1287/moor.24.3.619

F. Delarue and S. Menozzi, A forward???backward stochastic algorithm for quasi-linear PDEs, The Annals of Applied Probability, vol.16, issue.1, pp.140-184, 2006.
DOI : 10.1214/105051605000000674
URL : https://hal.archives-ouvertes.fr/hal-00002980

F. Delarue and S. Menozzi, An interpolated stochastic algorithm for quasi-linear PDEs, Mathematics of Computation, vol.77, issue.261, pp.125-158, 2008.
DOI : 10.1090/S0025-5718-07-02008-X
URL : https://hal.archives-ouvertes.fr/hal-00212028

F. Delbaen, Y. Hu, and X. Bao, Backward SDEs with superquadratic growth. Probab . Theory Related Fields, pp.145-192, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00362685

F. Delbaen, Y. Hu, and A. Richou, On the uniqueness of solutions to quadratic BSDEs with convex generators and unbounded terminal conditions, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.2
DOI : 10.1214/10-AIHP372
URL : https://hal.archives-ouvertes.fr/hal-00391112

E. Dynkin, Game variant of a problem of optimal stopping, Soviet. Math. Dokl, vol.10, pp.270-274, 1969.

E. Ekström and G. Peskir, Optimal Stopping Games for Markov Processes, SIAM Journal on Control and Optimization, vol.47, issue.2, pp.684-702, 2008.
DOI : 10.1137/060673916

E. Ekström and S. Villeneuve, On the value of optimal stopping games, The Annals of Applied Probability, vol.16, issue.3, pp.1576-1596, 2006.
DOI : 10.1214/105051606000000204

N. Karoui and S. Hamadène, BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations. Stochastic Process, Appl, vol.107, issue.1, pp.145-169, 2003.

N. Karoui and S. Huang, A general result of existence and uniqueness of backward stochastic differential equations, Backward stochastic differential equations, pp.27-36, 1995.

N. Karoui, C. Kapoudjian, ´. E. Pardoux, S. Peng, and M. C. Quenez, Reflected solutions of backward SDE's, and related obstacle problems for PDE's, The Annals of Probability, vol.25, issue.2, pp.702-737, 1997.
DOI : 10.1214/aop/1024404416

N. Karoui, S. Peng, and M. C. Quenez, Backward Stochastic Differential Equations in Finance, Mathematical Finance, vol.7, issue.1, pp.1-71, 1997.
DOI : 10.1111/1467-9965.00022

R. J. Elliott and N. J. Kalton, The existence of value in differential games of pursuit and evasion, Journal of Differential Equations, vol.12, issue.3, pp.504-523, 1972.
DOI : 10.1016/0022-0396(72)90022-8

A. Fahim, N. Touzi, and X. Warin, A probabilistic numerical method for fully nonlinear parabolic PDEs, The Annals of Applied Probability, vol.21, issue.4, pp.1322-1364, 2011.
DOI : 10.1214/10-AAP723
URL : https://hal.archives-ouvertes.fr/hal-00367103

W. H. Fleming, The convergence problem for differential games, Journal of Mathematical Analysis and Applications, vol.3, issue.1, pp.102-116, 1961.
DOI : 10.1016/0022-247X(61)90009-9

W. H. Fleming, 12. The Convergence Problem for Differential Games, II, Advances in game theory, pp.195-210, 1964.
DOI : 10.1515/9781400882014-013
URL : https://hal.archives-ouvertes.fr/hal-01261731

W. H. Fleming and D. Hernández-hernández, On the value of stochastic differential games, Commun. Stoch. Anal, vol.5, issue.2, pp.341-351, 2011.

A. Friedman, Stochastic games and variational inequalities, Archive for Rational Mechanics and Analysis, vol.51, issue.5, pp.321-346, 1973.
DOI : 10.1007/BF00263039

A. Friedman, Differential games, Handbook of game theory with economic applications, pp.781-799, 1994.
DOI : 10.1090/cbms/018

C. Grün, A BSDE approach to stochastic differential games with incomplete information, Stochastic Processes and their Applications, pp.1917-1946, 2012.
DOI : 10.1016/j.spa.2012.02.010

S. Hamadène and M. Hassani, BSDEs with two reflecting barriers : the general result. Probability Theory and Related Fields, pp.237-264, 1007.

S. Hamadène and J. P. Lepeltier, Backward equations, stochastic control and zero-sum stochastic differential games, Stochastics An International Journal of Probability and Stochastic Processes, vol.54, issue.3, pp.221-231, 1995.
DOI : 10.1080/17442509508834006

S. Hamadène and J. Lepeltier, Zero-sum stochastic differential games and backward equations, Systems & Control Letters, vol.24, issue.4, pp.259-263, 1995.
DOI : 10.1016/0167-6911(94)00011-J

S. Hamadène and J. Lepeltier, Reflected BSDEs and mixed game problem. Stochastic Processes and their Applications, pp.177-188, 2000.

S. Hamadène, J. P. Lepeltier, and S. Peng, Bsde with continuous coefficients and applications to markovian non zero sum stochastic differential games, Backward stochastic differential equations, pp.161-175, 1995.

Y. Hu and S. Peng, Solution of forward-backward stochastic differential equations. Probab. Theory Related Fields, pp.273-283, 1995.

Y. Hu and J. Yong, Forward-backward stochastic differential equations with nonsmooth coefficients. Stochastic Process, Appl, vol.87, issue.1, pp.93-106, 2000.
DOI : 10.1016/s0304-4149(99)00106-4
URL : http://doi.org/10.1016/s0304-4149(99)00106-4

R. Isaacs, Differential games. A mathematical theory with applications to warfare and pursuit, control and optimization, 1965.

J. Jacod and A. N. Shiryaev, Limit theorems for stochastic processes, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2003.
DOI : 10.1007/978-3-662-02514-7

R. L. Karandikar, On almost sure convergence of modified Euler-Peano approximation of solution to an S.D.E. driven by a semimartingale, Séminaire de Probabilités, pp.113-120, 1991.
DOI : 10.1515/9783110845563

M. Kobylanski, differential equations with quadratic growth, The Annals of Probability, vol.28, issue.2, pp.558-602, 2000.
DOI : 10.1214/aop/1019160253

M. Kobylanski, M. Quenez, and M. R. De-campagnolle, Dynkin games in a general framework. arXiv :1202, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00795370

N. N. Krasovski?-i and A. I. Subbotin, Game-theoretical control problems, 1988.
DOI : 10.1007/978-1-4612-3716-7

H. J. Kushner, Numerical Approximations for Stochastic Differential Games, SIAM Journal on Control and Optimization, vol.41, issue.2, p.457, 2002.
DOI : 10.1137/S0363012901389457

H. J. Kushner, Numerical Approximations for Stochastic Differential Games: The Ergodic Case, SIAM Journal on Control and Optimization, vol.42, issue.6, pp.1911-1933, 2004.
DOI : 10.1137/S0036301290140034

H. J. Kushner and P. Dupuis, Numerical methods for stochastic control problems in continuous time, Stochastic Modelling and Applied Proba- bility, 2001.

O. A. Lady?enskaja, V. A. Solonnikov, and N. N. , Ural ? ceva. Linear and quasilinear equations of parabolic type. Translated from the Russian by S, Smith. Translations of Mathematical Monographs, vol.23, 1967.

R. Laraki, Variational Inequalities, System of Functional Equations, and Incomplete Information Repeated Games, SIAM Journal on Control and Optimization, vol.40, issue.2, pp.516-524, 2001.
DOI : 10.1137/S0363012900366601

R. Laraki, Repeated Games with Lack of Information on One Side: The Dual Differential Approach, Mathematics of Operations Research, vol.27, issue.2, pp.419-440, 2002.
DOI : 10.1287/moor.27.2.419

R. Laraki, On the regularity of the convexification operator on a compact set, J. Convex Anal, vol.11, issue.1, pp.209-234, 2004.

R. Laraki and E. Solan, The Value of Zero-Sum Stopping Games in Continuous Time, SIAM Journal on Control and Optimization, vol.43, issue.5, pp.1913-1922, 2005.
DOI : 10.1137/S0363012903429025

J. Lempa and P. Matomäki, A Dynkin game with asymmetric information, Stochastics An International Journal of Probability and Stochastic Processes, vol.53, issue.5, pp.1-26
DOI : 10.1002/mana.19851240107

J. Lepeltier and M. A. Maingueneau, Le jeu de dynkin en theorie generale sans l'hypothese de mokobodski, Stochastics, vol.9, issue.1-2, pp.25-44, 1984.
DOI : 10.1080/17442508408833309

J. Lepeltier and J. San-martín, Existence for BSDE with superlinear-quadratic coefficient, Stochastics An International Journal of Probability and Stochastic Processes, vol.63, issue.3, pp.227-240, 1998.
DOI : 10.1080/17442509808834149

Q. Lin, A BSDE approach to Nash equilibrium payoffs for stochastic differential games with nonlinear cost functionals, Stochastic Processes and their Applications, vol.122, issue.1, pp.357-385, 2012.
DOI : 10.1016/j.spa.2011.08.011

J. Ma, . Ph, J. Protter, and . Yong, Solving forward-backward stochastic differential equations explicitly?a four step scheme. Probab. Theory Related Fields, pp.339-359, 1994.

J. Ma and J. Yong, Forward-backward stochastic differential equations and their applications, Lecture Notes in Mathematics, vol.1702, 1999.
DOI : 10.1007/978-3-540-48831-6

P. Meyer and W. A. Zheng, Tightness criteria for laws of semimartingales, Ann. Inst. H. Poincaré Probab. Statist, vol.20, issue.4, pp.353-372, 1984.

H. Morimoto, Dynkin games and martingale methods, Stochastics, vol.3, issue.3, pp.213-228, 1984.
DOI : 10.1080/17442508108833167

A. M. Oberman, The convex envelope is the solution of a nonlinear obstacle problem, Proceedings of the American Mathematical Society, vol.135, issue.06, pp.1689-1694, 2007.
DOI : 10.1090/S0002-9939-07-08887-9

A. M. Oberman, L. Silvestre88, ´. E. Pardoux, S. Peng, ´. E. Pardoux et al., The Dirichlet problem for the convex envelope Adapted solution of a backward stochastic differential equation Backward stochastic differential equations and quasilinear parabolic partial differential equations, Stochastic partial differential equations and their applications Pardoux and S. Tang. Forward-backward stochastic differential equations and quasilinear parabolic PDEs. Probab. Theory Related Fields, pp.5871-588655, 1990.

S. Peng, Probabilistic interpretation for systems of quasilinear parabolic partial differential equations, Stochastics Stochastics Rep, vol.37, issue.12, pp.61-74, 1991.

S. Peng, A Generalized dynamic programming principle and hamilton-jacobi-bellman equation, Stochastics An International Journal of Probability and Stochastic Processes, vol.38, issue.2, pp.119-134, 1992.
DOI : 10.1080/17442509208833749

S. Peng, Stochastic Hamilton???Jacobi???Bellman Equations, SIAM Journal on Control and Optimization, vol.30, issue.2, pp.284-304, 1992.
DOI : 10.1137/0330018

S. Peng, Backward stochastic differential equations and applications to optimal control, Applied Mathematics & Optimization, vol.6, issue.No. 2, pp.125-144, 1993.
DOI : 10.1007/BF01195978

S. Peng and Z. Wu, Fully Coupled Forward-Backward Stochastic Differential Equations and Applications to Optimal Control, SIAM Journal on Control and Optimization, vol.37, issue.3, pp.825-843, 1999.
DOI : 10.1137/S0363012996313549

L. S. Pontryagin, On the evasion process in differential games, Applied Mathematics and Optimization, vol.1, issue.1, pp.5-1975, 1974.
DOI : 10.1007/BF01449022

L. S. Pontryagin, Linear Differential Games, Proc. Steklov Inst. Math, pp.200-207, 1988.
DOI : 10.1137/0312020

C. Rainer, Two Different Approaches to Nonzero-Sum Stochastic Differential Games, Applied Mathematics and Optimization, vol.56, issue.1, pp.131-144, 2007.
DOI : 10.1007/s00245-007-0892-7

S. Sorin, A first course on zero-sum repeated games, of Mathématiques & Applications (Berlin) [Mathematics & Applications, 2002.

S. Sorin, Stochastic Games with Incomplete Information, Stochastic games and applications (Stony Brook, pp.375-395, 1999.
DOI : 10.1007/978-94-010-0189-2_25
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.569.4490

S. Sorin, Symmetric Incomplete Information Games as Stochastic Games, Stochastic games and applications (Stony Brook, pp.323-334, 1999.
DOI : 10.1007/978-94-010-0189-2_21

A. Souquì-ere, Approximation and representation of the value for some differential games with asymmetric information, International Journal of Game Theory, vol.21, issue.1, pp.699-722, 2010.
DOI : 10.1007/s00182-009-0217-y

A. Souquì-ere, Jeux différentielsdifférentielsá informations incomplétes, Thèse de doctorat, 2010.

N. N. Subbotina, A. I. Subbotin, V. E. Tret, and ?. Jakov, Stochastic and deterministic control: Differential inequalities, Problems Control Inform. Theory/Problemy Upravlen. Teor. Inform, vol.14, issue.6, pp.405-419, 1985.
DOI : 10.1007/BFb0007149

N. Touzi and N. Vieille, Continuous-Time Dynkin Games with Mixed Strategies, SIAM Journal on Control and Optimization, vol.41, issue.4, pp.1073-1088, 2002.
DOI : 10.1137/S0363012900369812
URL : https://hal.archives-ouvertes.fr/hal-00465013

K. Yosida, Functional analysis Classics in Mathematics, 1980.

J. Zhang, A numerical scheme for BSDEs, The Annals of Applied Probability, vol.14, issue.1, pp.459-488, 2004.
DOI : 10.1214/aoap/1075828058