E. Bayraktar and S. Yao, Optimal stopping for Non-linear Expectations, Stochastic Processes and Their Applications, pp.185-211, 2011.
DOI : 10.1016/j.spa.2010.10.001

G. Barles, R. Buckdahn, and E. Pardoux, Backward Stochastic Dierential Equations and integralpartial dierential equations, Stochastics and Stochastics Reports, pp.57-83, 1997.

E. Bayraktar, I. Karatzas, and S. Yao, Optimal Stopping for Dynamic Convex Risk Measures, Illinois Journal of Mathematics, vol.54, issue.3, pp.1025-1067, 2010.

B. Bouchard, D. Possamaï, and X. Tan, A general Doob-Meyer-Mertens decomposition for gsupermartingale system, Electronic Journal of Probability, vol.21, issue.36, 2016.
DOI : 10.1214/16-ejp4527

URL : http://doi.org/10.1214/16-ejp4527

S. Crépey and A. Matoussi, Reflected and doubly reflected BSDEs with jumps: A priori estimates and comparison, The Annals of Applied Probability, vol.18, issue.5, pp.2041-2069, 2008.
DOI : 10.1214/08-AAP517

C. Dellacherie and E. Lenglart, Sur des problemes de regularisation, de recollement et d'interpolation en theorie des processus, Sém. de Proba. XVI, lect. notes in Mathematics, vol.25, pp.298-313, 1981.
DOI : 10.5802/aif.577

R. Dumitrescu, M. Quenez, and A. Sulem, Generalized Dynkin Games and Doubly reected BSDEs with jumps, Electronic Journal of Probability, vol.21, issue.64, 2016.
DOI : 10.1214/16-ejp4568

URL : http://doi.org/10.1214/16-ejp4568

R. Dumitrescu, M. C. Quenez, and A. Sulem, Game options in an imperfect market with default, to appear in SIAM, Journal on Financial Mathematics, 2016.

E. Karoui and N. , Les Aspects Probabilistes Du Controle Stochastique, Notes in Math, vol.876, pp.73-238, 1981.
DOI : 10.1007/BFb0097499

E. Karoui, N. Kapoudjian, C. Pardoux, E. Peng, S. et al., Reected solutions of Backward SDE's and related obstacle problems for PDE's, The Annals of Probability, pp.702-737, 1997.

E. Karoui, N. , and M. Quenez, Non-linear Pricing Theory and Backward Stochastic Dierential Equations, Lect. Notes in Mathematics, vol.1656, 1997.

H. Essaky, Reflected backward stochastic differential equation with jumps and RCLL obstacle, Bulletin des Sciences Math??matiques, vol.132, issue.8, pp.690-710, 2008.
DOI : 10.1016/j.bulsci.2008.03.005

URL : https://doi.org/10.1016/j.bulsci.2008.03.005

L. I. Gal-'chouk, Optional martingales, Math. USSR Sbornik, vol.40, issue.4, pp.435-468, 1981.

M. Grigorova, P. Imkeller, E. Oen, Y. Ouknine, and M. Quenez, Reflected BSDEs when the obstacle is not right-continuous and optimal stopping, The Annals of Applied Probability, vol.27, issue.5, pp.3153-3188, 2017.
DOI : 10.1214/17-AAP1278

URL : https://hal.archives-ouvertes.fr/hal-01141801

M. Grigorova, P. Imkeller, Y. Ouknine, and M. Quenez, Doubly Reected BSDEs and E f -Dynkin games: beyond the right-continuous case, https, 2016.

M. Grigorova and M. Quenez, Optimal stopping and a non-zero-sum Dynkin game in discrete time with risk measures induced by BSDEs, Festschrift for Bernt Øksendal, pp.259-279, 2017.
DOI : 10.1016/j.spa.2014.04.007

URL : https://hal.archives-ouvertes.fr/hal-01415420

S. Hamadène, Mixed Zero-Sum Stochastic Differential Game and American Game Options, SIAM Journal on Control and Optimization, vol.45, issue.2, pp.496-518, 2006.
DOI : 10.1137/S036301290444280X

S. Hamadène, Reected BSDE's with discontinuous barrier and application, Stochastics and Stochastic Reports, vol.7434, pp.571-596, 2002.

S. Hamadène and Y. Ouknine, Backward stochastic dierential equations with jumps and random obstacle, Electronic Journal of Probability, vol.8, pp.1-20, 2003.

S. Hamadène and Y. Ouknine, Reflected backward SDEs with general jumps, Teoriya Veroyatnostei i ee Primeneniya, vol.60, issue.2, pp.357-376, 2015.
DOI : 10.4213/tvp4623

I. Karatzas and S. E. Shreve, Methods of mathematical nance, Applications of Mathematics, vol.39, 1998.

T. Klimsiak, M. Rzymowski, and L. Sªomi«ski, Reected BSDEs with regulated trajectories, 2016.

M. Kobylanski and M. Quenez, Optimal stopping time problem in a general framework, Electronic Journal of Probability, vol.17, issue.0, pp.1-28, 2012.
DOI : 10.1214/EJP.v17-2262

URL : https://hal.archives-ouvertes.fr/hal-01328196

M. Kobylanski and M. Quenez, Erratum: Optimal stopping time problem in a general framework, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01328196

M. Kobylanski, M. Quenez, and E. Rouy-mironescu, Optimal multiple stopping time problem, The Annals of Applied Probability, vol.21, issue.4, pp.1365-1399, 2011.
DOI : 10.1214/10-AAP727

URL : https://hal.archives-ouvertes.fr/hal-00423896

E. Lenglart, Tribus de Meyer et théorie des processus, Séminaire de probabilités de Strasbourg XIV, Lecture Notes in Mathematics, vol.79, issue.784, pp.500-546, 1978.
DOI : 10.1007/bfb0089512

M. A. Maingueneau, Temps d???arret optimaux et theorie generale, Lecture Notes in Math, vol.77, issue.649, 1976.
DOI : 10.1007/BFb0064619

Y. Ouknine, Reected backward stochastic dierential equation with jumps, Stochastics and Stoch, Reports, vol.65, pp.111-125, 1998.
DOI : 10.1080/17442509808834175

S. Peng, Nonlinear Expectations, Nonlinear Evaluations and Risk Measures, Lecture Notes in Math, pp.165-253, 1856.
DOI : 10.1007/978-3-540-44644-6_4

P. E. Protter, Stochastic Integration and Dierential Equations (Stochastic Modelling and Applied Probability, 2005.

M. Quenez and A. Sulem, BSDEs with jumps, optimization and applications to dynamic risk measures, Stochastic Processes and Their Applications, pp.0-29, 2013.
DOI : 10.1016/j.spa.2013.02.016

URL : https://hal.archives-ouvertes.fr/hal-00709632

M. Quenez and A. Sulem, Reected BSDEs and robust optimal stopping for dynamic risk measures with jumps, Stochastic Processes and their Applications, pp.3031-3054, 2014.
DOI : 10.1016/j.spa.2014.04.007

URL : https://hal.inria.fr/hal-00780175/document

E. Rosazza-gianin, Risk measures via -expectations, Insurance: Mathematics and Economics, vol.39, issue.1, pp.19-34, 2006.
DOI : 10.1016/j.insmatheco.2006.01.002

M. Royer, Backward stochastic dierential equations with jumps and related non-linear expectations, Stochastic Processes and Their Applications, pp.1358-1376, 2006.
DOI : 10.1016/j.spa.2006.02.009

URL : https://doi.org/10.1016/j.spa.2006.02.009

S. H. Tang and X. Li, Necessary Conditions for Optimal Control of Stochastic Systems with Random Jumps, SIAM Journal on Control and Optimization, vol.32, issue.5, pp.1447-1475, 1994.
DOI : 10.1137/S0363012992233858