This note deals with the concept of stochastic equilibrium-programming SEP which has recently been proposed for the modeling of imperfect competition on uncertain dynamic markets. One shows that the equilibria computed via SEP correspond to an information structure, called S-adapted open-loop which is not common in the dynamic game literature. One compares the single-player case with the many-player case using a simple two-stage dynamical system. An illustration of the use of the approach for the modeling of imperfect dynamic markets is also provided.