J. Baptiste, L. Carassus, and E. Lépinette, Pricing without martingale measures

A. Lohne and B. Rudloff, AN ALGORITHM FOR CALCULATING THE SET OF SUPERHEDGING PORTFOLIOS IN MARKETS WITH TRANSACTION COSTS, International Journal of Theoretical and Applied Finance, vol.4, issue.02, p.2014
DOI : 10.1111/1467-9965.00096

E. C. Dalang, A. Morton, and W. Willinger, Equivalent martingale measures and no-arbitrage in stochastic securities market models, Stochastics and Stochastic Reports, vol.19, issue.2, pp.185-201, 1990.
DOI : 10.1017/S0001867800016360

C. Hess, Set-valued integration and set-valued probability theory: An overview, Handbook of Measure Theory, pp.617-673, 2002.

F. Hiai and H. Umegaki, Integrals, conditional expectations, and martingales of multivalued functions, Journal of Multivariate Analysis, vol.7, issue.1, pp.149-182, 1977.
DOI : 10.1016/0047-259X(77)90037-9

Z. Feinstein and B. Rudloff, Multi-portfolio time consistency for set-valued convex and coherent risk measures, Finance and Stochastics, vol.30, issue.1, pp.67-107, 2015.
DOI : 10.1111/j.0960-1627.2004.00180.x

URL : http://arxiv.org/pdf/1212.5563

A. Hamel, F. Heyde, and B. Rudloff, Set-valued risk measures for conical market models, Mathematics and Financial Economics, vol.14, issue.1, pp.1-28, 2011.
DOI : 10.1111/j.0960-1627.2004.00180.x

A. Jamneshan, M. Kupper, and J. M. Zapata, Parameter-dependent Stochastic Optimal Control in Finite Discrete Time

E. Jouini and H. Kallal, Martingales and Arbitrage in Securities Markets with Transaction Costs, Journal of Economic Theory, vol.66, issue.1, pp.178-1997, 1995.
DOI : 10.1006/jeth.1995.1037

Y. Kabanov and E. Lépinette, Essential supremum with respect to a random partial order, Journal of Mathematical Economics, vol.49, issue.6, pp.478-487, 2013.
DOI : 10.1016/j.jmateco.2013.07.002

URL : https://hal.archives-ouvertes.fr/hal-00608856

Y. Kabanov and E. Lépinette, Essential supremum and essential maximum with respect to random preference relations, Journal of Mathematical Economics, vol.49, issue.6, pp.488-495, 2013.
DOI : 10.1016/j.jmateco.2013.05.007

URL : https://hal.archives-ouvertes.fr/hal-01103069

Y. Kabanov and E. Lépinette, On supremal and maximal sets with respect to random partial orders Set Optimization -State of the Art and Applications in Finance, pp.151-275, 2015.

Y. Kabanov and M. Safarian, Markets with transaction costs. Mathematical Theory, 2009.
DOI : 10.1007/978-3-540-68121-2

URL : https://hal.archives-ouvertes.fr/hal-00488168

E. Lépinette and I. Imolchanov, Conditional cores and conditional convex hulls of random sets. Preprint, submitted. https

E. Lépinette and T. Tran, General financial market model defined by a liquidation value process, Stochastics, vol.16, issue.3, pp.437-459, 2016.
DOI : 10.1111/j.0960-1627.2004.00180.x

I. Molchanov, Theory of Random Sets, 2005.
DOI : 10.1007/978-1-4471-7349-6

R. T. Rockafellar, R. J. Wets, and -. , Variational analysis, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1998.
DOI : 10.1007/978-3-642-02431-3