Some Implications of Uncertainty in a Small Open Economy

Consider a small open economy which produces two commodities, the first a consumers' good and the second a producers' good, by means of a conventional no‐joint‐products technology. Suppose that one of the two production functions is subject to a random multiplicative disturbance and that factors of production must be allocated to the two industries before the realization of the random variable. It is known that if in the absence of uncertainty production is incompletely specialized then the same is true under uncertainty although the average output of the uncertain industry is lower. In the present paper we suppose that each of the two production functions is subject to a random multiplicative disturbance but restrict our attention to three particular cases: the polar cases of perfect correlation, positive and negative, and the intermediate case of zero correlation. It is shown that in none of these cases does there exist an obvious and complete analogue of the above proposition but that in each case something definite can be said, either about the possibility of complete specialization under uncertainty or about the effect of uncertainty on the allocation of factors (but not about both).