A non-stationary multisector growth model with uncertainty, in which future utilities are discounted, is examined. First we establish the existence of strongly optimal programs emanating from a given initial capital stock. Then we show that this optimal program x is sustained by a system of prices [pcirc] so that the pair [◯ [pcirc]] is competitive and a strong transversality condition holds. We also show that competitiveness and transversality imply optimality.