It is shown that core-Walras equivalence fails whenever the commodity space is a non-separable Banach space. The interpretation is that a large number of agents guarantees core-Walras equivalence only if there is actually a large number of agents relative to the size of the commodity space....

In this paper the existence of a general equilibrium with differentiated commodities is proved for the classical case of a production set with constant returns, spanned by elementary activities without joint production, and with a finite set of primary factors. This framework allows to proceed...