1. It is well known that the Walrasian tatonnement adjustment process is dynamically stable if all commodities are gross substitutes and if the matrix of excess demand coefficients satisfies the Hicksian conditions (Metzler [5]). The process can be stable under more general conditions such as when some non-nume'raire goods are gross complements. For instance, when the matrix is a symmetric matrix or a Morishima matrix, and satisfies the Hicksian conditions (Samuelson [9], Morishima [6, 7]), or when it is a quasi-negative definite matrix (Samuelson [9]) or a dominant (negative) diagonal matrix, the adjustment process is dynamically stable even if not all commodities are gross substitutes. If we consider the Morishima case as being representative of the systems in which all commodities are not necessarily gross substitutes, the matrix of excess demand coefficients, A, satisfies the conditions, sign aij = sign aji and sign aik.akj = sign aij (i # j). This means that if the jth commodity is a substitute of a substitute (or a complement of a complement) for the ith commodity, then the jth commodity is necessarily a substitute for the ith commodity. If the jth commodity is a complement of a substitute (or a substitute of a complement) for the ith commodity, then thejth commodity is necessarily a complement with the ith commodity.3 The substitute-complement relationships in the Morishima matrix represent, certainly, an important and ingenious step forward in the study of the competitive system with complementary goods, in particular, when some commodities are not differentiated in use. (For instance, the economy which contains tea from India, tea from Ceylon, sugar from Cuba, sugar from Hawaii, etc.). However, in reality the substitute-complement relationships may not obey these simple rules.