  We consider the pricing problem facing a seller of a contingent claim. We
assume that this seller has some general level of partial information, and that
he is not allowed to sell short in certain assets. This pricing problem, which
is our primal problem, is a constrained stochastic optimization problem. We
derive a dual to this problem by using the conjugate duality theory introduced
by Rockafellar. Furthermore, we give conditions for strong duality to hold.
This gives a characterization of the price of the claim involving martingale-
and super-martingale conditions on the optional projection of the price
processes.

Mathematical Finance;Optimization and Control